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Paper Citation Record · LEDGER

K-moduli of pure states of four qubits

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.149054Z digest=sha256:804c804586f1f9286452743d2a390c49b12cd1a1614354bf17df36387558cba9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.155150Z digest=sha256:bb1d4a3b8fb2747c8d01e6b94e5192afb76d3c7829847b74165e2b04dbb7a912

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.160648Z digest=sha256:20c7ce0ab7cfe639c379973390340245f07ccf3b024dc3c130706ba7c7ea1468

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.165738Z digest=sha256:f397647065bf1f38de75f7ced0b277069d0f25905b12d3ea6ad0cfd13f3e39d1

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.171225Z digest=sha256:fa4c41d4343d665a3fb28abb7b13dfd33aeb6d57711621e2f0f15709b936d123

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.177117Z digest=sha256:dbd22bfacf441d60d9cea61af92405d5c251061d5ef602f2a19192481ec933e1

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.182651Z digest=sha256:82fbcd09fef904ca91ffb1df9cb8bb84bb11c03712fb8d5f09173b845e6ee386

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.187477Z digest=sha256:efa17d8a4b6772879f69b47a47024aafd6c34f3c86cde9bf4632893ab4ee8507

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.192856Z digest=sha256:07f3d8aa10f3624a290695937fd659cd2ccf0e7007508bac26d211040dc47b0e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.198146Z digest=sha256:ac6b4680e4a75455064465bb488383aee36c4fa31f00b5e5e4d1815a196650a5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.203496Z digest=sha256:32322b74d992864071f9436442a0fe19788403bb26a7ac3b34fc6142b1156646

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.208323Z digest=sha256:4bd057b08d79dc3ee3de21e8b719908dfd3f6faca4cd3f13862f352f6ec110d9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.213241Z digest=sha256:1554080f9a52ab3a24ca538c18e08b77bdb58326da6cfff726b457249318b790

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.217843Z digest=sha256:e848824831377a3f11e2001c5231463457a88c4ce6968d2eeca01a58bd5da76e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.222670Z digest=sha256:022f18561baa200feca2b8b2b18dea672b9185d15662275c873f3a5ecf44abe2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.227346Z digest=sha256:32dd4de31ab893c6f42c093f3569c4d38665fca2c96a883afbfdcebb151c4663

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.232274Z digest=sha256:ab7f53b21afca43150d46e6da6bb580b078da6991dc9ad047779ff8f211ab6d0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.236894Z digest=sha256:a9e3834127d4076eed1f771da0859e2dcf7bcf8685f7b9f493477d322ae76d15

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.242482Z digest=sha256:04a010a673f0a277781f68b5ddd1961a39a47bc76dbf7468c7f77c4e534ae4af

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.248128Z digest=sha256:d97afeb10b04c2f2afece9608fc450ef80239d7522a8c07601486642fff50254

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.253055Z digest=sha256:4724fd4ebd4a405ff6bebd4dc7e7f14d37cd176bdf8a306ad8a7238b037cc35b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.258045Z digest=sha256:698ae3a27c63e6256c79cc89245167f42b43c126b328c1cf2de31a37d0b00bd6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.263133Z digest=sha256:4233e9644eced2a45738d529d6e2241d6c21b98e9a33cf9b72e942fc4ca0d665

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.267940Z digest=sha256:466bc5549314fd444dee9740e4ca88875eb6dc4e232248bac23a90bc7a08ca54

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.273014Z digest=sha256:43f88471c6f4bc913a774447f67673644b1b29dffc93aa71e25742648265a6a4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.278451Z digest=sha256:e120e657c6e42112aeb61aa8e444709e9c8592a408b1872bb50a68282e7c9180

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.283579Z digest=sha256:9017a047afe7f76e49681a9466e618a9c3998036366188afe6d5d9710479a785

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.288840Z digest=sha256:28dd4e6a3b7ebe05b2a696566d388c7a67f1ac6ea03c7c47ed48d47064b09f87

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.293952Z digest=sha256:d7d34c417f4355332ceca510f902b2d0b1a66a02092a728d0e81263700004a0c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.299020Z digest=sha256:8704f707b27f47c85cf8db1616f540a9703e995704503f215e81362840694130

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.303565Z digest=sha256:23f497efb72edc6cde4d87646313a219996f09aa0f6bf1b7b75fdaa6d28565d9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T23:54:36.308807Z digest=sha256:861aad6059efdd31bea1ba5ebc44848917623ee0be63292fafc079617bb9efd0

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=sha256:085b1db855e2b82672695bfb6e3f0938270204a74d214ce42a24c1b38ab89556

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:19:07.312335Z digest=sha256:621094f0b53be028b93f1b1b3e9a377542f0fbfbf68a333efdde71bb29aa220f