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Paper Citation Record · LEDGER

On the Reachability Problem for Two-Dimensional Branching VASS

As of 21 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2506.22561.

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

pith.paper-citation-record.v1
2506.22561 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:17:53.912177Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

34 of 34 outbound references displayed

  • verified exact6
  • verified fuzzy2
  • unresolved21
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4cc68fe1-d003-43c8-872e-8c2abc42d07c · outbound

This paper cites Approximating petri net reachability along context-free traces.

On the Reachability Problem for Two-Dimensional Branching VASS Approximating petri net reachability along context-free traces

Reference 1

Resolution
verified exact
doi, observed 2026-08-06T22:17:54.077530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.811232Z digest=sha256:5cd43987639675cf0b1ed8fa087c5959053af2a767211173f90a9ada6f538b83

Observation 5cf00de5-334b-4453-8dac-34bf055a0eca · outbound

This paper cites The reachability problem for two-dimensional vector addition systems with states.

On the Reachability Problem for Two-Dimensional Branching VASS The reachability problem for two-dimensional vector addition systems with states

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.814893Z digest=sha256:cc54eb11e618dcdd529faca5f9374856788fd9f3eced1a3bbc92f84547b601ad

Observation b0fc1924-94ed-4d43-8139-81a844c102b6 · outbound

This paper cites Two-variable logic on data trees and XML reasoning.

On the Reachability Problem for Two-Dimensional Branching VASS Two-variable logic on data trees and XML reasoning

Reference 3

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raw_fallback, observed 2026-08-06T22:17:54.591448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.818066Z digest=sha256:873f73fa81094af4b507663ac1a9e1930efd89985315e035856b173364a0594d

Observation 29b9b407-6c2b-4c9d-9706-f47c2d11feea · outbound

This paper cites Analysis of recursively parallel programs.

On the Reachability Problem for Two-Dimensional Branching VASS Analysis of recursively parallel programs

Reference 4

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no resolver link, observed 2026-08-06T22:17:53.821702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.821702Z digest=sha256:4d2c34e5087ddbc6cbb96718479e6dcdc72df51b2dde0449e18628daad2f9754

Observation c4448311-482a-4938-a583-0e496f83c120 · outbound

This paper cites The tractability border of reachability in simple vector addition systems with states.

On the Reachability Problem for Two-Dimensional Branching VASS The tractability border of reachability in simple vector addition systems with states

Reference 5

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no resolver link, observed 2026-08-06T22:17:53.824981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.824981Z digest=sha256:0191fc73004c9113c3d959ea55285f1833e33642368a3a019195316d87a490a2

Observation d28a0cb3-5893-4a16-b6f9-642a2b61c5cd · outbound

This paper cites Timed pushdown automata and branching vector addition systems.

On the Reachability Problem for Two-Dimensional Branching VASS Timed pushdown automata and branching vector addition systems

Reference 6

Resolution
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raw_fallback, observed 2026-08-06T22:17:54.423069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.828266Z digest=sha256:bd64eabb13689a953cd2b804a40240d59cc08d92eddd8e09173233f564105d38

Observation b884540f-236b-45fc-b1cf-62763d78d3b0 · outbound

This paper cites Murawski, and C.

On the Reachability Problem for Two-Dimensional Branching VASS Murawski, and C

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.831246Z digest=sha256:37fdd14c70e9d488d14453657315ef072480b2d5a7afe5d09b17906aebde0cac

Observation f7a1a7de-5fcc-463e-a54e-ca70a99d88fb · outbound

This paper cites The reachability problem for P etri nets is not elementary.

On the Reachability Problem for Two-Dimensional Branching VASS The reachability problem for P etri nets is not elementary

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.833910Z digest=sha256:eda37a0018ad720ac94cccb277d290d51a307aeac74d25c3a36dd3d1b781dc09

Observation 7838c4af-ac98-4154-9069-6ed9dff33f01 · outbound

This paper cites David and H.

On the Reachability Problem for Two-Dimensional Branching VASS David and H

Reference 9

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.837461Z digest=sha256:17138b55afed539d4993ea66aab87f723481de1dda5a61b9bb4c5cf7c0b55245

Observation c216fedf-be51-4933-8134-104f4f5ea450 · outbound

This paper cites Distributions of Distances and Volumes of Balls in Homogeneous Lens Spaces.

On the Reachability Problem for Two-Dimensional Branching VASS Distributions of Distances and Volumes of Balls in Homogeneous Lens Spaces

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T22:17:53.840271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.840271Z digest=sha256:da55146b6f969e18a8493f58484a890b392bdbcb92e698dcba5134f29eef1606

Observation b56102f2-9808-49f8-bf4e-935337623ab8 · outbound

This paper cites The covering and boundedness problems for branching vector addition systems.

On the Reachability Problem for Two-Dimensional Branching VASS The covering and boundedness problems for branching vector addition systems

Reference 11

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.843931Z digest=sha256:3ea1681511ed7157e55a4343c8d37afca20bb4ea6fd07610b70a24a5c2c5277c

Observation 690f4dfa-87ce-43ad-87c2-f96380ad8da8 · outbound

This paper cites Polynomial-space completeness of reachability for succinct branching VASS in dimension one.

On the Reachability Problem for Two-Dimensional Branching VASS Polynomial-space completeness of reachability for succinct branching VASS in dimension one

Reference 12

Resolution
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no resolver link, observed 2026-08-06T22:17:53.847524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.847524Z digest=sha256:cc39c24b702478ab3f4295255006e6157aa482031dfabca575133c4c8f9ffd50

Observation 7c9f31f7-bb7e-4de6-97a5-f8e1d9978724 · outbound

This paper cites Reachability for two-counter machines with one test and one reset.

On the Reachability Problem for Two-Dimensional Branching VASS Reachability for two-counter machines with one test and one reset

Reference 13

Resolution
verified exact
doi, observed 2026-08-06T22:17:54.039263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.850748Z digest=sha256:7debe94e7dd9f5c15c6bbac666157ed363af72edf7c5b4e3a88af8d96e6e42be

Observation dbb1c0a6-8bab-4223-b609-ceb05396c384 · outbound

This paper cites Complexity analysis of continuous petri nets.

On the Reachability Problem for Two-Dimensional Branching VASS Complexity analysis of continuous petri nets

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.853871Z digest=sha256:e3f06995e486d609bff809ff7d651c12053c2202985466e52fc4b4a2d80ff84b

Observation cb60087e-8074-4d9e-99fe-05fa2fb15d74 · outbound

This paper cites Reachability in bidirected pushdown VASS.

On the Reachability Problem for Two-Dimensional Branching VASS Reachability in bidirected pushdown VASS

Reference 15

Resolution
verified exact
doi, observed 2026-08-06T22:17:54.025609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.857054Z digest=sha256:5c7a453c22820ba202954a907b2dcbf00f93bdecd08b61de2d929efde56a7127

Observation dbf0c39d-7dd6-4266-b34e-c6d33295be0e · outbound

This paper cites an unresolved cited work.

On the Reachability Problem for Two-Dimensional Branching VASS Unresolved cited work

Reference 16

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no resolver link, observed 2026-08-06T22:17:53.859785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.859785Z digest=sha256:8a815c373d4fc50547d9d165c9d6f6670e84ac644bba495a5d17d35b44f68009

Observation 4ee311cc-2dbd-4edc-b0e5-4c02cf2d8be7 · outbound

This paper cites A polynomial-time algorithm for reachability in branching VASS in dimension one.

On the Reachability Problem for Two-Dimensional Branching VASS A polynomial-time algorithm for reachability in branching VASS in dimension one

Reference 17

Resolution
verified exact
doi, observed 2026-08-06T22:17:54.012093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.862518Z digest=sha256:3678cb941f783827783d898d37d2ad3ad78c253db8a5374297e19e22c786ab36

Observation 8da027a3-5301-41ca-8f06-8e0791c8b986 · outbound

This paper cites A survival guide to presburger arithmetic.

On the Reachability Problem for Two-Dimensional Branching VASS A survival guide to presburger arithmetic

Reference 18

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T22:17:54.344487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.865613Z digest=sha256:061c2985800899eae21217882fbc487e15e9d6c702ada3d3bf20bebb429c2cfc

Observation f9a7c251-d29f-420d-a989-bb46a8295f71 · outbound

This paper cites Hopcroft and Jean - Jacques Pansiot.

On the Reachability Problem for Two-Dimensional Branching VASS Hopcroft and Jean - Jacques Pansiot

Reference 19

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.868016Z digest=sha256:eba152958487ecbac110139e6bf1ecadab8e990c2366c371a175718a3fcd9df9

Observation 39e674cc-e839-4514-8652-703140b06ab8 · outbound

This paper cites Fo2( , +1, ) on data trees, data tree automata and branching vector addition systems.

On the Reachability Problem for Two-Dimensional Branching VASS Fo2( , +1, ) on data trees, data tree automata and branching vector addition systems

Reference 20

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.871183Z digest=sha256:a34f8df16b31e89aa22635a9aceba8b08a88151126f90a6946608e75113065d6

Observation 3bf20cca-d330-418d-993f-aa621f2c32d1 · outbound

This paper cites Karp and Raymond E.

On the Reachability Problem for Two-Dimensional Branching VASS Karp and Raymond E

Reference 21

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unresolved
no resolver link, observed 2026-08-06T22:17:53.873576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.873576Z digest=sha256:b51af14595dfd144d8583ac00d76abc651caa3dd1e4d9b3b480909b7d7a73a91

Observation 8cf07bfb-3d18-47f8-8772-56607d16d92b · outbound

This paper cites The reachability problem for vector addition systems with a stack is not elementary.

On the Reachability Problem for Two-Dimensional Branching VASS The reachability problem for vector addition systems with a stack is not elementary

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:17:53.988232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.876128Z digest=sha256:66a6078cc89f4750e1943e5eecc76a23edf6bb665b5d4da905ce7354ea4e3f2c

Observation 9c61c61d-0fea-4ec0-acb8-dd4bf79ee434 · outbound

This paper cites an unresolved cited work.

On the Reachability Problem for Two-Dimensional Branching VASS Unresolved cited work

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.879049Z digest=sha256:4e16eba3a18872490ab8fe2e0e3ad215322f5c765ac06aaa4631c13091a82638

Observation 93db3afc-23cc-4e06-89a1-db8fbb6c1bef · outbound

This paper cites Nonelementary complexities for branching VASS , MELL , and extensions.

On the Reachability Problem for Two-Dimensional Branching VASS Nonelementary complexities for branching VASS , MELL , and extensions

Reference 24

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source=arxiv_source observed=2026-08-06T22:17:53.881483Z digest=sha256:028227369813778379f8fc027a5b6f885eb56ff2e64b5190fe27fa1882bd17f8

Observation caca1071-6f92-46ad-a443-7ef617f0b5ec · outbound

This paper cites The reachability problem for P etri nets is not primitive recursive.

On the Reachability Problem for Two-Dimensional Branching VASS The reachability problem for P etri nets is not primitive recursive

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-06T22:17:53.884362Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.884362Z digest=sha256:7ddda6565cbcd17aa506426e3930f71fde1e25214df7db9b96bde4ba58663e77

Observation 4b9910e1-fdf4-4d96-8b2c-7a7e91ba48d0 · outbound

This paper cites Reachability in vector addition systems is primitive-recursive in fixed dimension.

On the Reachability Problem for Two-Dimensional Branching VASS Reachability in vector addition systems is primitive-recursive in fixed dimension

Reference 26

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unresolved
no resolver link, observed 2026-08-06T22:17:53.886967Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.886967Z digest=sha256:c1f9ef2d93e2e4ef2e9fc082aaea0998143be3d0c3eb7990d6ad0e790948c6ef

Observation 19bd9f0a-4e5d-46ca-9851-59ccd60c3c62 · outbound

This paper cites On the coverability problem for pushdown vector addition systems in one dimension.

On the Reachability Problem for Two-Dimensional Branching VASS On the coverability problem for pushdown vector addition systems in one dimension

Reference 27

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no resolver link, observed 2026-08-06T22:17:53.890153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.890153Z digest=sha256:b8157c00870181ce3ac255900b85148a87801c499972c8d4f96277bf725b7cfd

Observation da31abe3-0287-4a3e-bae2-c3a3d100c469 · outbound

This paper cites Counting and equality constraints for multitree automata.

On the Reachability Problem for Two-Dimensional Branching VASS Counting and equality constraints for multitree automata

Reference 28

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unresolved
no resolver link, observed 2026-08-06T22:17:53.893433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.893433Z digest=sha256:663136d53b3e5d40fad07c23010eb65dbdd372d2a9b9148d09121891b634ab69

Observation 1e878b8f-bd74-4cbb-a8ea-27156f2d9f87 · outbound

This paper cites an unresolved cited work.

On the Reachability Problem for Two-Dimensional Branching VASS Unresolved cited work

Reference 29

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no resolver link, observed 2026-08-06T22:17:53.896589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.896589Z digest=sha256:059261a96c5038a9107af735ca9a30548dc855544e6d839c13d50760fcc0467d

Observation 8bf682b9-5c6a-489f-9694-c2de4e1adbd9 · outbound

This paper cites Reachability for bounded branching VASS.

On the Reachability Problem for Two-Dimensional Branching VASS Reachability for bounded branching VASS

Reference 30

Resolution
verified exact
doi, observed 2026-08-06T22:17:53.952810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.900294Z digest=sha256:d1df1b1f0bdd29ced80e47387fb7a97751719f8ce6067a8cbb69939f75b39e02

Observation 6d8ae08f-8855-4240-9677-e46a21431cd0 · outbound

This paper cites Beyond regularity: Equational tree automata for associative and commutative theories.

On the Reachability Problem for Two-Dimensional Branching VASS Beyond regularity: Equational tree automata for associative and commutative theories

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-06T22:17:53.903038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.903038Z digest=sha256:592fb54205135ab5d05b4254257b6dfa17bbc581cf8782c37e78a9ace75795a2

Observation 0e113971-cca5-4ac7-bf45-79b9f6ee8f09 · outbound

This paper cites Multiset-valued linear index grammars: Imposing dominance constraints on derivations.

On the Reachability Problem for Two-Dimensional Branching VASS Multiset-valued linear index grammars: Imposing dominance constraints on derivations

Reference 32

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T22:17:54.162831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.906269Z digest=sha256:a4acf8c0e918bb5259fdf56c24f464c946eeeaaa412d726b821115aa9ba502c7

Observation 48f8e70b-a41a-4b82-939e-7747812795ae · outbound

This paper cites On the computational complexity of dominance links in grammatical formalisms.

On the Reachability Problem for Two-Dimensional Branching VASS On the computational complexity of dominance links in grammatical formalisms

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:17:54.674470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:17:53.909541Z digest=sha256:232ea5ba13800a955b94dd979b1870a63692fa57d9cada57d6afe2dee56d214b

Observation 029ec2c1-4880-464b-ba0a-2cbf3b3671e2 · outbound

This paper cites Karp-miller trees for a branching extension of VASS.

On the Reachability Problem for Two-Dimensional Branching VASS Karp-miller trees for a branching extension of VASS

Reference 34

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unresolved
no resolver link, observed 2026-08-06T22:17:53.912177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:53.912177Z digest=sha256:a34803289454485b72760f0f97ade48d7858c80a76e740df45a540bd7be75e54

Pith citing papers

No inbound Pith citation observations are available.