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Paper Citation Record · LEDGER

K-moduli of pure states of four qubits

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.149054Z digest=sha256:1cdde81d3c60ba26206a514530a0eb1a5798f6b8112d621847942022e06f9fa5

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.155150Z digest=sha256:145563bd730d1242f620b13335fa26ea0b0f24cc905e0956ba28f5b199dd7579

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.160648Z digest=sha256:01bc4e8ca5c75e308f55f4f93ed84412215497642981d5e8a74b1e5e8d004087

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.165738Z digest=sha256:21cc6ce76ddb6f682e62cccf1075d46a8e84d4abde39691835bb4b034e18a872

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.171225Z digest=sha256:73f7876622e503aac385fb17a901aa97965570cc48bb3818dd3d740e9c180203

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.177117Z digest=sha256:797e3f0d3203ac10037a7c447c7c4d65b9413375d1a34a6648c80aa96d02de45

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.182651Z digest=sha256:627f2b3c2d5c04dfc9e01d8c1471c7b1a7b991c19fe211c6332dc0f5edb0e2e9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.187477Z digest=sha256:bae2a6232bfcc667bee107615ee34bbbb2487a8ecfe8cad55c5fd5652d5d8fae

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.192856Z digest=sha256:f771659c2cbbe7b499136432eae907a69a05993a42fef3052c3b3d0cd99058bb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.198146Z digest=sha256:87e24a7f0dabfd01ff00ee7d20d3be5333ab1b21cc6d57dfc3218847d5ee6041

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.203496Z digest=sha256:6914fd9e82b48b9b7e211eae096814cdf87add8101126ca37c748940ef1d9b68

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.208323Z digest=sha256:184cbf454f9b5aea843c378737b69d3be1a62db7a8879c17c97c72baf1e8cce4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.213241Z digest=sha256:8783161677744d3858d92df659ca69230d16f7c7cc295cd055d8424190fe9602

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.217843Z digest=sha256:87418f09b3e58d1998f96c9b8623c09fd23c541c21ba5a455efa74864526104e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.222670Z digest=sha256:5046764fbc82dd148427d7015af4b54c9d921eac7c2c7b3dc23e43d4552caea6

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.227346Z digest=sha256:7639b124cc858ef5e742fa3bb6d718ab96bd9d2b045f615814c0a3141ab5f767

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.232274Z digest=sha256:1730af5393685e17eed6e94eaaa7d59bc0b4865a326e3303d1690cb23c09ce2c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.236894Z digest=sha256:008997f342959a6c40556f2228f87da6884946068f8f78711eddf6fadd121c97

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.242482Z digest=sha256:a58596a01004c1a667fb5075b3b8083c7ba957a0331e2a62de37f00843e0daec

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.248128Z digest=sha256:cb5e7ab165e7476f63482d5723dc9d532403be95cd7a2ac3b0bc89f0a5405b61

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.253055Z digest=sha256:28311b57c2b0bcb6b6362817fe3eb56dce60acda938135679685109113bf1609

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.258045Z digest=sha256:f46308d0aec60a3b0dee872ccc6adea4ebaa41c8d62fdc27091f9ab00bc8a1d2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.263133Z digest=sha256:1108541d149fc0df26d50e306ec4af91d81565db197ce3eb61cef1520527c344

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.267940Z digest=sha256:87b91bc134bba7246d81d156fe7acad8b1c28bb56961f4557ad6f94245a46942

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.273014Z digest=sha256:e456448afff4803d0b5d2fd8f3405a1d1eb38aa6fbe1a672f4c4cffa2208a014

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.278451Z digest=sha256:4a225b2d7e80d103fd2695e4c8db3613db40ae4a2218c48728494694ed30bfd9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.283579Z digest=sha256:e5a2c19d3046f8bab4ce3a2f2a084fd55f544fcebe4e84567611aada0166458d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.288840Z digest=sha256:b45927fda4b8f89a03170672278704a36a71c1101e279b302f30b481006f65a2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.293952Z digest=sha256:cc0907e07c07dd5d6a979f0273987a4708b0d6d0eb1e1c8d4475b08e2fce9f2d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.299020Z digest=sha256:1777ea959d67be313d79fb838966976ab25226213fce94309c8027fe2d8693ff

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.303565Z digest=sha256:39bf32802967d0b9b12595a2e59bfba900340b134b7a41294476ea7dec211f4d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:54:36.308807Z digest=sha256:9b11294e260f2c1a4c7375d546abbf7d08e05905f799ed4c6bb537f3296337cc

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:e8f90205581303dc31ea624d4b65714801813fa699c31acb908f5f65c0d6e842

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:19:07.312335Z digest=sha256:f8ccdbc196fba7130d830767d299d04a973e7bf29b98a8255493fa9e59756c80