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Paper Citation Record · LEDGER

K-moduli of pure states of four qubits

As of 23 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 2 inbound Pith citation observations for arXiv:2412.19972.

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

pith.paper-citation-record.v1
2412.19972 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:54:36.308807Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:48:40.049800Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:19:07.481502Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy29
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6a47c892-afe7-426d-8e8a-376eb08990d4 · outbound

This paper cites Abban, Z.

K-moduli of pure states of four qubits Abban, Z

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.970511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.149054Z digest=sha256:c162962e039d2b4bdc4e38bb082ae82bc2670ba589c522d0dddbceb085121f45

Observation 7faaeccb-ec85-40a1-971f-e1e596ce17aa · outbound

This paper cites Araujo, A.-M.

K-moduli of pure states of four qubits Araujo, A.-M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.954960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.155150Z digest=sha256:9994b6b50963ea2756c1dbd8ae046920e24ab73dbfee050d3c7f27826a37fb5b

Observation af05d8d8-f71d-4bbe-ad0e-4e6b3a317c78 · outbound

This paper cites Ascher, K.

K-moduli of pure states of four qubits Ascher, K

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.939799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.160648Z digest=sha256:fe5a177ab5edd751ec50aa14ed8144cd70da5a0454249bacdefb12831fca8f31

Observation 698aac89-da64-4211-9b09-62515ab3da31 · outbound

This paper cites Belousov, K.

K-moduli of pure states of four qubits Belousov, K

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.922722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.165738Z digest=sha256:a3852cb3961e7fe3e8d0fc2113b48475bd461018a932906649b14b990f0a0b32

Observation 2cf9378b-3dca-4e61-a0b7-403094ef4667 · outbound

This paper cites Boozer, The moduli space of stable rank 2 parabolic bundles over an el liptic curve with 3 marked points, Proc.

K-moduli of pure states of four qubits Boozer, The moduli space of stable rank 2 parabolic bundles over an el liptic curve with 3 marked points, Proc

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.908143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.171225Z digest=sha256:0d9009e007565cb7c6186678978888f785d60cdc154b7a7bdcef52170703d469

Observation 99d0e410-19d9-4c2b-ba3c-4fce00091de6 · outbound

This paper cites Cheltsov, T.

K-moduli of pure states of four qubits Cheltsov, T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.892234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.177117Z digest=sha256:135cbaae49ef01145dadac92f53af8911fff607c1e98a1323ab9c237b4991f9b

Observation 39e9d0cb-c394-4b02-abea-3fdb4d4d9ba8 · outbound

This paper cites Cheltsov, A.

K-moduli of pure states of four qubits Cheltsov, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.875615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.182651Z digest=sha256:de9bad5e2646acd079f98b5aa1a21fae7bd84091d9ba6d115774dd75d56aa419

Observation 0a56723f-e04d-4c24-8586-69c50d575e4e · outbound

This paper cites Cheltsov, K.

K-moduli of pure states of four qubits Cheltsov, K

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.860985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.187477Z digest=sha256:b643c9187fd4d4b321cf4a01524c10c6ffed9491cd3a34fd1e382d5438006c62

Observation c62bf194-4e6e-4c20-9595-6b988ed2b781 · outbound

This paper cites Cheltsov, L.

K-moduli of pure states of four qubits Cheltsov, L

Reference 9

Resolution
verified exact
raw_fallback, observed 2026-08-10T23:54:36.470369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.192856Z digest=sha256:ed8ede2d24127cee316a24324c6f910585a9643ff80d4f29a29a63d9a64579be

Observation f76d5d48-2782-4b02-9765-4abf6d9974eb · outbound

This paper cites Cheltsov, Y.

K-moduli of pure states of four qubits Cheltsov, Y

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.846828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.198146Z digest=sha256:aa348fac0a7a4680568999591b543dcf0c81760ee59f9871ac6b60e2407bacbc

Observation aa12b056-11b2-4673-8685-39a7127c67a9 · outbound

This paper cites Chterental, D.

K-moduli of pure states of four qubits Chterental, D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.830227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.203496Z digest=sha256:9c6c2a6402b98bbb87d0b69fb83b7a7f4ab6313a2f1d9be13c2184217a54a7d4

Observation e13e5ef2-0cdc-4072-86bf-35b460c8de7a · outbound

This paper cites Collino, The fundamental group of the Fano surface, I , Lecture Notes in Mathematics 947 (1982), 209–218.

K-moduli of pure states of four qubits Collino, The fundamental group of the Fano surface, I , Lecture Notes in Mathematics 947 (1982), 209–218

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.812871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.208323Z digest=sha256:9347d4a60c6ad4ccb39f25f88ce752d7f0f793c19f893c167f8e4aa2cf4b5894

Observation 9f8c823b-6cf5-425d-a264-6d657411fa4c · outbound

This paper cites Dietrich, W.

K-moduli of pure states of four qubits Dietrich, W

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.796170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.213241Z digest=sha256:1f5547c0bcd73d705154e7862af541e4c135c147899f52b46b67332fc18e2927

Observation 648ccc77-b73e-476e-9063-46f9ce3bc984 · outbound

This paper cites Kasprzyk, Canonical toric Fano threefolds , Canadian Journal of Mathematics 62 (2010), 1293– 1309.

K-moduli of pure states of four qubits Kasprzyk, Canonical toric Fano threefolds , Canadian Journal of Mathematics 62 (2010), 1293– 1309

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.780930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.217843Z digest=sha256:d570df0945ecce7b56115f97dff20b6a60ea501b66c8b041fd75a7d151a7de29

Observation 1bb129c3-0d9d-4966-996a-55ae85fc2edd · outbound

This paper cites Fujita, A valuative criterion for uniform K-stability of Q-Fano varieties, J.

K-moduli of pure states of four qubits Fujita, A valuative criterion for uniform K-stability of Q-Fano varieties, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.764653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.222670Z digest=sha256:cd92dd00f6add74040835c426d50e352119e60d0e33246fe3ff4bdb793927493

Observation b49628a8-4ae5-4eea-8b1c-59027c139e68 · outbound

This paper cites an unresolved cited work.

K-moduli of pure states of four qubits Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:54:36.748311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.227346Z digest=sha256:94c2963b82fba01e2843d303b5fc97222663dc42ceede820a2b5b51a2cae824f

Observation 4f3253a2-7ec0-4c1a-a62c-58cfe1357c0f · outbound

This paper cites Holweck, J.-G.

K-moduli of pure states of four qubits Holweck, J.-G

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.733549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.232274Z digest=sha256:1ae53296bbfb191c1e8408cdbc3f7d4b18976165a8aadc843b0f37e4f1fe59db

Observation 809bbd14-1cf7-451b-b53b-437599443e89 · outbound

This paper cites Holweck, J.-G.

K-moduli of pure states of four qubits Holweck, J.-G

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.717888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.236894Z digest=sha256:bd1a1359b96bb587d9522e5ae7e4e88919a4667d04863882be75ca224648b2e7

Observation 9de576db-7168-48b9-994f-0c6050a7adf5 · outbound

This paper cites Kuznetsov, Yu.

K-moduli of pure states of four qubits Kuznetsov, Yu

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.701253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.242482Z digest=sha256:13f015d6adc21dc2725920c684b1a1a632affe5d55e8f57325a7a294a41f6cf6

Observation 75227609-9e69-401b-baba-90ed43d71619 · outbound

This paper cites Koll´ ar, R.

K-moduli of pure states of four qubits Koll´ ar, R

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.683010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.248128Z digest=sha256:9df65809ea53b02d5079722fd27dff9828ac15b74191a9c5522f5f1dc7b26455

Observation 3cab1b74-6c14-4571-8686-16a3a6f721f8 · outbound

This paper cites Koll´ ar, S.

K-moduli of pure states of four qubits Koll´ ar, S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.666504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.253055Z digest=sha256:d218e0a3e1bb1b6a65d40a68c22a138944b8d5bc81aaa8bb5bc9ee57857de405

Observation 3d7a7551-a16e-442e-a92e-35aad4f51eef · outbound

This paper cites Li, K-semistability is equivariant volume minimization , Duke Math.

K-moduli of pure states of four qubits Li, K-semistability is equivariant volume minimization , Duke Math

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.649093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.258045Z digest=sha256:4d1650d5a5b6147b01f7d9eb9f3577980ea2e4bb34021ab0f45e9be8718797e7

Observation 526f9aeb-9ec4-4b13-b08d-9f82dd35b0a9 · outbound

This paper cites Liu, Algebraic geometry and arithmetic curves , Oxf.

K-moduli of pure states of four qubits Liu, Algebraic geometry and arithmetic curves , Oxf

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.633042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.263133Z digest=sha256:57c217d4261ea45c91eb7506e4e8bfc81f85c46a11723ba6a01a87abbd4397e0

Observation 5c2e6e09-84ac-4b33-a740-e0fe223228e2 · outbound

This paper cites an unresolved cited work.

K-moduli of pure states of four qubits Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:54:36.617322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.267940Z digest=sha256:65bff0cc74a2727137c7246e025db52fdbd4cdc0c6c6c025747960079d9d7675

Observation 0f78fd4c-fe80-43a8-bc03-1c8036a02084 · outbound

This paper cites Luque, J.

K-moduli of pure states of four qubits Luque, J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.601992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.273014Z digest=sha256:7e75fc1fc5bb2973cf4c881c4d18bdc8685647b41d6d71b6e02c52c7d9d41620

Observation fff370f1-cc87-44bf-bdb5-b39173489ed9 · outbound

This paper cites Sano, On deformations of Q-Fano 3-folds, Algebraic Geom.

K-moduli of pure states of four qubits Sano, On deformations of Q-Fano 3-folds, Algebraic Geom

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.585544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.278451Z digest=sha256:4c9e93c83cab6f06fc5a1e45a7137908b43556a2d00a12492f6261bf919a35ce

Observation 275b6878-21db-4fdd-93fe-ebda772f313e · outbound

This paper cites Schlafli, ¨Uber die Resultante eines Systemes mehrerer algebraischer Gleichungen.

K-moduli of pure states of four qubits Schlafli, ¨Uber die Resultante eines Systemes mehrerer algebraischer Gleichungen

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.569002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.283579Z digest=sha256:9370001c6acf3ff7d8198505d2a275816fe466ad330d30ae7eb5c62cff20e285

Observation a096fe0c-71a2-40de-b176-d0f93dfc8fac · outbound

This paper cites Sernesi, Deformations of algebraic schemes , Grundlehren Math.

K-moduli of pure states of four qubits Sernesi, Deformations of algebraic schemes , Grundlehren Math

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.550747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.288840Z digest=sha256:288a136ead6b2bfd519820ca42fec60bc8c69c1694f9b4bc329c9f4653b5c7da

Observation 27b02624-4ce2-4d5e-9c57-d17f580678cb · outbound

This paper cites Verstraete, J.

K-moduli of pure states of four qubits Verstraete, J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.533612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.293952Z digest=sha256:8a48966f7f49248a3e2917708e56c117670f67cc9260fec7177f3bd58f57f086

Observation e18480d5-46b6-4171-ad3a-11ec3e975845 · outbound

This paper cites Zhuang, Product theorem for K-stability , Adv.

K-moduli of pure states of four qubits Zhuang, Product theorem for K-stability , Adv

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.517688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.299020Z digest=sha256:6e99904b0fcd1368087575b45bcf4443ea134be8932cf1d54145edce06a65879

Observation 4f19291f-d0f2-40d8-9bd4-76b65e520325 · outbound

This paper cites Zhuang, Optimal destabilizing centers and equivariant K-stabilit y, Invent.

K-moduli of pure states of four qubits Zhuang, Optimal destabilizing centers and equivariant K-stabilit y, Invent

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.502488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.303565Z digest=sha256:b2210b0f757b0a8b46a7a52f9714617371cdd33616ae2312bc3977d6f62294de

Observation 3668feac-2fa0-4c77-afa4-12391cab1190 · outbound

This paper cites Xu, K-stability of Fano varieties: an algebro-geometric appro ach, EMS Surv.

K-moduli of pure states of four qubits Xu, K-stability of Fano varieties: an algebro-geometric appro ach, EMS Surv

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:54:36.487509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:54:36.308807Z digest=sha256:cb803ea98b33f2f96a397d58babd67ae3dc2185c43a9e7738619302d7ef0d08b

Pith citing papers

Observation 2c81e084-01d0-4b94-bac3-757302fbe227 · inbound

K-stability of Fano 3-folds in the World of Null-A cites this paper.

K-stability of Fano 3-folds in the World of Null-A K-moduli of pure states of four qubits

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T23:48:40.049800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:48:40.049800Z digest=sha256:e7994688ad6721929d99becad9353e15b8c307468d5124b80941c59dd9eeaa64

Observation 3e0f2ffb-2fa2-4f33-899c-779fd39e21b3 · inbound

Smooth Fano 3-folds satisfying Condition (A) cites this paper.

Smooth Fano 3-folds satisfying Condition (A) K-moduli of pure states of four qubits

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:19:07.485772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T20:19:07.312335Z digest=sha256:c1210f97b7af804b967e627af1fb15a56037c1e0ad2ab0fb5390a44f48c249f5