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Paper Citation Record · LEDGER

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought?

As of 20 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2506.06716.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.06716 v1

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:58:47.102270Z

measured 61 of 61 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

61 of 61 outbound references displayed

  • verified exact6
  • verified fuzzy30
  • unresolved16
  • parse uncertain0
  • malformed identifier9
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 331a1bf0-5755-4874-9565-f1f9d7f925e0 · outbound

This paper cites Mix Barrington, and Huong L ˆeThanh.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Mix Barrington, and Huong L ˆeThanh

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.937635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:38.706754Z digest=sha256:dc102c1413ebd59207e21cfef7855eae503e2fe207332337f1bc5e4ca3a502fe

Observation 5f427349-7eb6-40a7-a846-b489f0278f39 · outbound

This paper cites A very hard log-space counting class.Theor.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? A very hard log-space counting class.Theor

Reference 2

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:57.805781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:38.778284Z digest=sha256:91ea70a4ccd1b18b6350f6cb03bd05fbe2d0914336167308863257f0082c6acd

Observation bf8797f0-4419-467c-8320-ca2db6c1016f · outbound

This paper cites Completeness, approximability and exponential time results for counting problems with easy decision version.Theoretical Computer Science, 915:55–73, 2022.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Completeness, approximability and exponential time results for counting problems with easy decision version.Theoretical Computer Science, 915:55–73, 2022

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.606099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:38.932690Z digest=sha256:32c1abe1f2d26f136713bf0dd896593f437940693e1816c5c4ccf4f66374e7ac

Observation da28f84f-5494-4786-af38-dd5e43aa8b8d · outbound

This paper cites #NFA admits an FPRAS: efficient enumeration, counting, and uniform generation for logspace classes.J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? #NFA admits an FPRAS: efficient enumeration, counting, and uniform generation for logspace classes.J

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:39.079640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:39.079640Z digest=sha256:dc2b46ec191c8cc5b67e0c57341f9184ede75643e3fa63d61ccec4752849e02f

Observation d7c88139-516f-4bb9-a7b9-25c7e4c0e1c5 · outbound

This paper cites Graph isomorphism is in spp.Information and Computation, 204(5):835–852, 2006.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Graph isomorphism is in spp.Information and Computation, 204(5):835–852, 2006

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.479354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:39.203202Z digest=sha256:e600bf6fa3478c9798c1ad5b67aeb5280df927d3d3148fb6c6cf9778a592f75c

Observation cc5a09bf-dcbd-4549-aafd-92d34ea9ed3d · outbound

This paper cites Guest column: A panorama of counting problems the decision version of which is in p3.ACM SIGACT News, 53(3):46–68, 2022.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Guest column: A panorama of counting problems the decision version of which is in p3.ACM SIGACT News, 53(3):46–68, 2022

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.347217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:39.321615Z digest=sha256:5be125c168b69b7197c694c5b6a146563eb64f4459bf80b3def11d73da182691

Observation ba005760-958d-4252-bad1-18abf68bf564 · outbound

This paper cites On the power of counting the total number of computation paths of nptms.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On the power of counting the total number of computation paths of nptms

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.168054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:39.440896Z digest=sha256:2b9e9716d3167b5f0fe10512c526107aecdb763b2c08697bf796445505f5f8a3

Observation 18ce6e19-c668-4d69-837d-76384fed4fbc · outbound

This paper cites Characterizations and approximability of hard counting classes below.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Characterizations and approximability of hard counting classes below

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.038116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:39.540684Z digest=sha256:5739674625ae1f39abde3d52d3da92d7eb7695832dc7dbe35294a63b264ce849

Observation 1ade1b93-7ab4-46c5-b727-650011e9aa2d · outbound

This paper cites Counting classes: Thresholds, parity, mods, and fewness.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Counting classes: Thresholds, parity, mods, and fewness

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:56.847267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:39.653372Z digest=sha256:54c8b1973138ed1a8ca2bfa04adec8aa00d5a305a91c56262a8d5e37ab277dd2

Observation 641425c3-4c95-4c38-8ca8-1d7856f2bd11 · outbound

This paper cites Spielman.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Spielman

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:39.780252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:39.780252Z digest=sha256:4a5192ca682598672f53270a8211eef0780ce394ae9b06b62b5ca3f0014c1c2b

Observation ff3b5354-3413-4585-9120-7b220fd52062 · outbound

This paper cites Handbook of Satisfiability, Second Edition.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Handbook of Satisfiability, Second Edition

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:56.599241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:39.890326Z digest=sha256:9257be0e153c1421cdf18b747349d71c062656dc1f6dbed77c2550aaa273e8ef

Observation 4f6cc2f2-eee1-490d-8de5-10fbf5e147cc · outbound

This paper cites Bodlaender, Paul S.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Bodlaender, Paul S

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:40.006879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:40.006879Z digest=sha256:0d2e9dc9fbf2cc9324bd5b127f2cf015ad5360aef8b4f48a2802484ba4a4c423

Observation 55a07285-d3b3-4df8-8dfc-ff5bcb4093e5 · outbound

This paper cites Bodlaender and Ton Kloks.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Bodlaender and Ton Kloks

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:56.378113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:40.117738Z digest=sha256:1a424670c0469762dd44abb6534e524c767b796abcb7fd826ed737982d90ca4f

Observation 7a9fbd6b-57bb-4932-a21e-6fe4ffbcccaa · outbound

This paper cites Bodlaender, Arie M.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Bodlaender, Arie M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:56.227082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:40.199292Z digest=sha256:3ed4e657747360fc23a4f7257b5bc589feeb961fc0913c761fca6460d1962735

Observation 902eb0e5-37c9-4c3a-8e54-f787898cd640 · outbound

This paper cites Block interpolation: A framework for tight exponential-time counting complexity.Inf.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Block interpolation: A framework for tight exponential-time counting complexity.Inf

Reference 15

Resolution
verified exact
doi, observed 2026-08-07T05:58:48.854938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:40.316452Z digest=sha256:60b14fd121140622e0c8eba95940821d0f557686261c3c98a5100b19f6b682cf

Observation 4a61bc67-9a7c-494d-a272-7aade4faea27 · outbound

This paper cites Counting mod- els for 2SAT and 3SAT formulae.Theor.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Counting mod- els for 2SAT and 3SAT formulae.Theor

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:40.437396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:40.437396Z digest=sha256:b6e660365110e4a3af96308d6c675bd8fba5b14467f18ea47cad6265742d3ca6

Observation 66c9564f-85ac-4fde-94d6-ff528fcb7900 · outbound

This paper cites Exponential Time Complexity of the Permanent and the Tutte Polynomial.ACM Trans.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Exponential Time Complexity of the Permanent and the Tutte Polynomial.ACM Trans

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:40.535369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:40.535369Z digest=sha256:dd42800b978eb7c3631827e4bb5b56f2216943b62722a6b61dc5fd20991eb76e

Observation 052c0c31-f1c9-4a4a-8835-971122702d80 · outbound

This paper cites Subtractive reductions and complete problems for counting complexity classes.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Subtractive reductions and complete problems for counting complexity classes

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:56.082521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:40.601385Z digest=sha256:e303189635f206f290363a9b7561f403ccbda3c901e55d083c70300edea9ba4a

Observation 09c4e352-7901-480e-8c90-c080f9bbc544 · outbound

This paper cites Dyer, Leslie Ann Goldberg, Catherine S.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Dyer, Leslie Ann Goldberg, Catherine S

Reference 19

Resolution
verified exact
doi, observed 2026-08-07T05:58:48.537033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:40.723391Z digest=sha256:f5fc4093d39db3da3014ce70e2e053704ca70b2a10dfd08784bfdb0da7831e6a

Observation e3a4db97-3ba0-4466-925f-df115e9fcd47 · outbound

This paper cites Fenner, Lance Fortnow, and Stuart A.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Fenner, Lance Fortnow, and Stuart A

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:40.859225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:40.859225Z digest=sha256:061db9e7e9ac561bcc831896a22c79a2b851f8595911eadecfae21baca59d123

Observation a3f3939b-7c2f-457c-8764-f19a56e24674 · outbound

This paper cites The model counting competition 2020.ACM J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The model counting competition 2020.ACM J

Reference 21

Resolution
verified exact
doi, observed 2026-08-07T05:58:48.237317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:41.012866Z digest=sha256:dc4f1db3aaa9a197c0207232d321e471baba0ab3074bf529106579fdd481a779

Observation 7ccaa7e8-3536-4a97-a90a-fb887e000007 · outbound

This paper cites Counting List Homomorphisms from Graphs of Bounded Treewidth: Tight Complexity Bounds.ACM Trans.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Counting List Homomorphisms from Graphs of Bounded Treewidth: Tight Complexity Bounds.ACM Trans

Reference 22

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:55.934500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:41.175627Z digest=sha256:34f32357fd9b9e7b07ac116c3ff7799a747618f42ff430cb52da44b97ac93faf

Observation 4fdeb848-e27f-4f78-918a-63555bf71c97 · outbound

This paper cites PP is closed under truth-table reductions.Inf.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? PP is closed under truth-table reductions.Inf

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:41.365071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:41.365071Z digest=sha256:003d9f4c0b5516de9faa37450a3c380876db414f76c4a96a0678f3e6e23f42b2

Observation 0a4b2fd8-0b20-4d41-961c-b24971142073 · outbound

This paper cites Synthesis Lectures on Artificial Intelligence and Machine Learning.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Synthesis Lectures on Artificial Intelligence and Machine Learning

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:41.515682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:41.515682Z digest=sha256:2138b7fe452a0f63af8f191f3882bc0d8f0f3740aff62379e28fc51d6d41120b

Observation 76f4ff12-4b9e-45b4-803b-1f936be5de16 · outbound

This paper cites Almost optimal lower bounds for small depth circuits.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Almost optimal lower bounds for small depth circuits

Reference 25

Resolution
malformed identifier
no resolver link, observed 2026-08-07T05:58:41.683818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:41.683818Z digest=sha256:2354c3bb7fdc686ae504f5db3bbec237f0281ad4edb3eed8efe6cc96ae002438

Observation e776f00a-4fec-40c3-91c1-d0fca5f4ebba · outbound

This paper cites Relations among mod-classes.Theoretical Computer Science, 74(3):325–328, 1990.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Relations among mod-classes.Theoretical Computer Science, 74(3):325–328, 1990

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:55.798823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:41.859841Z digest=sha256:efc3dc16588e6588e489e6e0475f8bf1ca3691bfaee51223018d5c943644ca0e

Observation 27412ccc-4624-4095-8f1c-47e821c3de6b · outbound

This paper cites Mix Barrington.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Mix Barrington

Reference 27

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:55.658141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:42.014233Z digest=sha256:f0470541646c03452d6378425345d0f70653d89733e61a693e6868ac9c31f46e

Observation 5ad9b98c-10ac-4aff-89ab-d989516420b8 · outbound

This paper cites The complexity of the inertia and some closure properties of gapl.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The complexity of the inertia and some closure properties of gapl

Reference 28

Resolution
verified exact
doi, observed 2026-08-07T05:58:47.912035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:42.218448Z digest=sha256:9edb31a431dde58b08644b2b78617110729f3af3e519566d583e8e9f74469082

Observation 1b401f31-08b0-4125-8d52-29fc837c0c06 · outbound

This paper cites Nondeterministic space is closed under complemen- tation.SIAM J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Nondeterministic space is closed under complemen- tation.SIAM J

Reference 29

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:55.524207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:42.393515Z digest=sha256:4417f573c3e0a58fda5fcf0b43dd37a414c9569ce75c04c2654591d8884d53be

Observation 1c279249-f8e1-4533-ab84-8ef2a6e298a0 · outbound

This paper cites On the complexity of k- SAT.Journal of Computer and System Sciences, 62(2):367–375, 2001.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On the complexity of k- SAT.Journal of Computer and System Sciences, 62(2):367–375, 2001

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:55.392730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:42.599974Z digest=sha256:18233aa29f117c2dcf2b6b6bc0cda6ce5d54d4532ddd63363fe54d1c09c01e69

Observation 383d4887-aa71-47af-838c-0551235e5259 · outbound

This paper cites Some (in)translatability results for normal logic pro- grams and propositional theories.J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Some (in)translatability results for normal logic pro- grams and propositional theories.J

Reference 31

Resolution
verified exact
doi, observed 2026-08-07T05:58:47.637698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:42.757463Z digest=sha256:123ff5b8d315f248a80ca5e22083b3a0a4488e0a2cd5f769f6597ac920a64126

Observation 7cc11030-a73f-45c4-bd9e-62db51eb02d5 · outbound

This paper cites Picturing counting reductions with the ZH-calculus.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Picturing counting reductions with the ZH-calculus

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:42.959138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:42.959138Z digest=sha256:563832ed37398036b3183aef7b4bd65facbe0e11f6f26b07cb064cf58858327e

Observation 63bbe88e-2beb-4b68-8d60-9194a4f5cc99 · outbound

This paper cites A faster fpras for# nfa.Proceedings of the ACM on Management of Data, 2(2):1–22, 2024.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? A faster fpras for# nfa.Proceedings of the ACM on Management of Data, 2(2):1–22, 2024

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:55.244165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:43.102628Z digest=sha256:7ab0e9c8c9eeb535c680cf8fd9adeca4b3579366edcf052d567b29f1d11bdec9

Observation 5420c153-4e68-49ef-bb3c-2838607162a5 · outbound

This paper cites On closure properties of #P in the context of PF◦#P.J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On closure properties of #P in the context of PF◦#P.J

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:43.255141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:43.255141Z digest=sha256:e5f539b54f3ab2ad073aa509dcbe07ae99e2b5e87661e47c8cf3e548f79ec30b

Observation fc61abb6-3e63-4193-99b0-571c9781c0b1 · outbound

This paper cites Hemachandra.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Hemachandra

Reference 35

Resolution
verified exact
doi, observed 2026-08-07T05:58:47.400477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:43.361750Z digest=sha256:13999c0d94abe4032ce7000867acaecc59d4a61836783f882053c6336e1d7075

Observation 6a016b29-e4f4-40f8-b042-4544c6c4a0b9 · outbound

This paper cites The complexity of counting functions with easy decision version.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The complexity of counting functions with easy decision version

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:43.498255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:43.498255Z digest=sha256:aef56ad5848c641d6898493eef37caf987f49b7b680ba69b456ae3f1f9a8e64f

Observation 8852c54e-e552-4fa0-a060-edf3792770ab · outbound

This paper cites Two remarks on the power of counting.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Two remarks on the power of counting

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:55.083698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:43.650467Z digest=sha256:e0affc9c04156682c3ce4d7c79cba6c04e68965a743713ea05c2e53c5bdb2349

Observation d1f866cd-6647-43c7-ac10-df3079234f22 · outbound

This paper cites Algorithms for propositional model counting.J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Algorithms for propositional model counting.J

Reference 38

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:54.790060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:43.796361Z digest=sha256:25b3b95ba9954d27f59e45ebe9dee05fc7c4ac9627c280c564d9d6f7bfbe3285

Observation 78d2f667-e9a6-4ad3-ba9a-b84fc0f18f2d · outbound

This paper cites A faster algorithm for propo- sitional model counting parameterized by incidence treewidth.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? A faster algorithm for propo- sitional model counting parameterized by incidence treewidth

Reference 39

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:54.587137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:43.909171Z digest=sha256:12457f131668b07a94aa3f6bd2ce39a35c7cea18bca4c2a77747518c029451ef

Observation d15f5e14-efbd-4cf7-892b-0abbdd09e224 · outbound

This paper cites Computational transition at the uniqueness threshold.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Computational transition at the uniqueness threshold

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:54.415391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:44.039186Z digest=sha256:78b34f62c2ee837e56b0f190761d0a855769c1af4d1dfe5d361ebd5db2532290

Observation 196a81bf-e564-4ff5-8110-46be7c3be6e0 · outbound

This paper cites On closure properties of GapP.Comput.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On closure properties of GapP.Comput

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:54.247477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:44.212530Z digest=sha256:3df0c3476400d14528921babce2868f15082fede3f768720aa05e1e7066dfeb3

Observation db3dd02f-5802-483f-be73-88afad5d06d3 · outbound

This paper cites PP is as hard as the polynomial-time hierarchy.SIAM J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? PP is as hard as the polynomial-time hierarchy.SIAM J

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:44.358005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:44.358005Z digest=sha256:ccc52fb4ca5f285af3ccec95f1c24a1088a607c4e529a9f7db2716a9b9c5f74e

Observation 5c07af07-e898-4fff-bcb7-8190c5a163e2 · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 43

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:54.058358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:44.456589Z digest=sha256:8c997d737ab87e12e90e52c9444ae54559c225f4a16077d757f074687106f4aa

Observation 7142b327-95e8-4f9c-b7fd-c97b5a96ea09 · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:44.612539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:44.612539Z digest=sha256:2b3d7e06f41eb4d516c8d93bdfd8d57b54febca9cdb01f327643586632ca135f

Observation 8d64886f-70e0-4d54-8017-d00dbaf66cfd · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 45

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:53.890382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:44.779318Z digest=sha256:986f1efdb9962f1b845f99eb987220612c813d6344dea1144bee3deba00bbb5c

Observation 8b636736-45de-4376-a319-872270e53279 · outbound

This paper cites Valiant and Vijay V.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Valiant and Vijay V

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:53.611759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:44.906476Z digest=sha256:85ea64ecff1a7d638baa0f720f58906de7634f9bc20649c88b93321b1fad2fcb

Observation 975ccdfd-0570-46f3-8224-811ff019b10c · outbound

This paper cites The symmetric rogue modelM ′ ofMis a satisfying assignment ofψ 2.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The symmetric rogue modelM ′ ofMis a satisfying assignment ofψ 2

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:53.365614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:45.102213Z digest=sha256:981f4bf19583c49fc12786128a29f76824958018fcc9d5b2eb20c155e4cb7865

Observation bccfe671-c821-4fe1-bfcf-0a4eac6301dd · outbound

This paper cites Definition 36(Symmetric Rogue Model for Monotony).

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Definition 36(Symmetric Rogue Model for Monotony)

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:53.100811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:45.250915Z digest=sha256:dca0e327b3b37807c6c5cdc9422455eefdc4c2505da13a3f6323d787ba1523d1

Observation 62c0ba63-8993-4528-a934-3b0ba0bc1144 · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:58:52.805533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:45.387122Z digest=sha256:3920028109a8385ebc412f86ea81e61b4109385cd72082bcc38614d7cbb8f3c2

Observation 520aca3b-76ba-4fa3-8272-98ae2b9e839e · outbound

This paper cites Lemma 38.Letφbe aCNF,Tbe a fully labeled tree decomposition of it, andMbe a satisfying assignment ofψ ′ 1 that is rogue.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Lemma 38.Letφbe aCNF,Tbe a fully labeled tree decomposition of it, andMbe a satisfying assignment ofψ ′ 1 that is rogue

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:52.488101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:45.559473Z digest=sha256:63e45fab3f428390aba82e9fd90f0a1f327ee083be8ffd003735df7bd2d58037

Observation 31a10da0-463b-44c5-87c5-63b1c0dc791d · outbound

This paper cites In order to show that(I)M ′ =f(M)is also rogue att ′, lett ⋆ be the node ofTsuch thatMis rogue att ⋆ withM not being rogue at an ancestor oft ⋆.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? In order to show that(I)M ′ =f(M)is also rogue att ′, lett ⋆ be the node ofTsuch thatMis rogue att ⋆ withM not being rogue at an ancestor oft ⋆

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:52.164000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:45.670492Z digest=sha256:ad699e93ebf855602706910d628a047c1f64b97de701db1d49148ae8b73dde5d

Observation aa94e3e6-ab94-4113-865e-021714bdda2d · outbound

This paper cites gapP⊆[#2SAT−#2SAT] log.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? gapP⊆[#2SAT−#2SAT] log

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:51.904283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:45.848802Z digest=sha256:a4800fc6845c82c1230acdcda3c8a33cda2de669168c691edeb9c0ad815207e6

Observation eb5413aa-9f9c-48d3-a59c-5ac70cc89d8a · outbound

This paper cites ·” to “+.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? ·” to “+

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:51.582815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:45.981333Z digest=sha256:2d0b1c6ed5643f3cc0291cd9ec5524694f0644ad2f0f36e72107d590f4502139

Observation 3413dc1e-427c-4a01-9c44-a4067a3032ef · outbound

This paper cites [#0,1-2DNF−#0,1-2DNF] log ⊆[#2DNF− #2DNF] log.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? [#0,1-2DNF−#0,1-2DNF] log ⊆[#2DNF− #2DNF] log

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:51.304653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:46.118591Z digest=sha256:9d80ffc34468c50cb4be57bf9b19f03bb48840fd875bc177269f8d64f863fe6e

Observation efb81016-9902-48fd-ad7a-9c48bd07a47a · outbound

This paper cites Now, it remains to construct formulasα, α ′ such that#(α)− #(α′) =c= (#(ψ 1) + #(ψ′ 2))−(#(ψ 2) + #(ψ′ 1)).

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Now, it remains to construct formulasα, α ′ such that#(α)− #(α′) =c= (#(ψ 1) + #(ψ′ 2))−(#(ψ 2) + #(ψ′ 1))

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:51.009694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:46.261771Z digest=sha256:1a6452182fa0bee37bb8576291ba4b0b3ac4666b39c37524b432db007609ded6

Observation deda8645-d4ec-4a36-ab28-0663598c01e6 · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:58:50.699252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:46.372443Z digest=sha256:3bdef2fa6efb52ee730dacdca78f16fc91090b89270e7d07c3d1018562eb324e

Observation c49e881e-f173-4179-904c-066aaffec31d · outbound

This paper cites [#MON2SAT−#MON2SAT] log ⊆[#MON2DNF− #MON2DNF] log.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? [#MON2SAT−#MON2SAT] log ⊆[#MON2DNF− #MON2DNF] log

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:50.418046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:46.519501Z digest=sha256:2f81d72e300594bac174e0083d735f0c6a6a6d4d4334e105f55ca49e0670579e

Observation c99e3e17-6dab-4032-994a-fab1064bbbdd · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:58:50.121603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:46.693483Z digest=sha256:84b748a1d8ffb8e8667924f5b8128ca4ef1916c1c5030d7bb3bf90f619daf50d

Observation afc9e1e7-5693-4516-84be-347572e7f089 · outbound

This paper cites degree3and bipartiteness.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? degree3and bipartiteness

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:49.853160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:46.828025Z digest=sha256:1c54c8a8e956b803e73aaf73bc6353e4b9ca75d5c693da74461a9a17a3f2147d

Observation 1d29fccd-b54b-4d01-afaf-81e850865382 · outbound

This paper cites gapP⊆[#IMPL2SAT] log AC0.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? gapP⊆[#IMPL2SAT] log AC0

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:49.576288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:46.949013Z digest=sha256:6adff665c2db23ee9db78e6e2c47b4b6abd5ce33a203a9f4a5c3f74a730407ed

Observation e0baac91-c4d0-467c-a00b-a6b0be0e7b0e · outbound

This paper cites [#IMPL2SAT] log AC0 = [#0,1-2DNF] log AC0.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? [#IMPL2SAT] log AC0 = [#0,1-2DNF] log AC0

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:49.293707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:58:47.102270Z digest=sha256:2347867f2d95b30483bae9e3af0ee666d7c4c7709d23dc1c521c4fffa2df45dc

Pith citing papers

No inbound Pith citation observations are available.