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Paper Citation Record · LEDGER

A formula for the Jack super nabla operator

As of 2 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2509.18625.

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

pith.paper-citation-record.v1
2509.18625 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-18T14:59:57.552206Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-01T06:32:01.292127+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

35 of 35 outbound references displayed

  • verified exact7
  • verified fuzzy8
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b500d09a-3766-4452-8cb9-25a520f47ba1 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.481874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:d1215e21e772ff47a77f07d0a888ec3e2e19f9ed511023bdcb26ebbebb9365a7

Observation 61df761d-d7c7-4a91-9392-1cda6a368a33 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.488958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:df48cdcacfe1c969c4b2026dd4b86539411f0c2d530fc26d0f67ce62494c1a98

Observation 5b81ff9d-e63e-43bc-b601-6e91a41705cb · outbound

This paper cites 05, 3641--3662.

A formula for the Jack super nabla operator 05, 3641--3662

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:ea02bcc6c126a280aa02d7ed484b8577a05af55cd9bf4b309e2091a205f49ff7

Observation 742c0c63-bffc-4768-af16-0bfe2cebae9c · outbound

This paper cites Theory 5 (2025), no.

A formula for the Jack super nabla operator Theory 5 (2025), no

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T15:01:32.463222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:5c93b6ce78225d6b2344d3df56dc95217cb7950b383b849005068156f5262bf7

Observation 8abb0c37-6a22-4985-9c38-69b1febaff7b · outbound

This paper cites Path operators and $(q,t)$-tau functions.

A formula for the Jack super nabla operator Path operators and $(q,t)$-tau functions

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-18T15:01:31.422650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:76d8a3806c8de3cbc4b164075e21595b9f6b9f847f0d547ecb00db714bf388f0

Observation 293983cc-21c9-4c29-8aff-8f4290c2b8ad · outbound

This paper cites Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture.

A formula for the Jack super nabla operator Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-18T15:01:31.434152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:0ae8d5f136c6c0b52812fc7127e094c7c3e311d8cd9dd6ca82813f25cc61f724

Observation a517d02c-3964-4e46-8cf4-989f54499b76 · outbound

This paper cites Macdonald characters from a new formula for Macdonald polynomials.

A formula for the Jack super nabla operator Macdonald characters from a new formula for Macdonald polynomials

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-20T00:01:32.060759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:9e8558592e365c63e42bd29159140b1f5fed7011b70b37aa89091e0da8fdcf81

Observation 311834c9-cc5a-42b1-bced-400869c6400e · outbound

This paper cites 3, 363--420.

A formula for the Jack super nabla operator 3, 363--420

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T15:01:32.466431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:57d4d89456ca2e355741046e5c033a44d822d044a6d5fa12eef617ee99a478a7

Observation 6441d290-7a7f-4a1e-b2b2-6a354755d552 · outbound

This paper cites The super nabla operator.

A formula for the Jack super nabla operator The super nabla operator

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-18T15:01:31.439309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:fda11b2db61b5483f2b90ad5d8f4750287cd0ea149e054a3ef28633e1e756783

Observation 93321e4f-8460-4b0e-82d5-52d254ee0572 · outbound

This paper cites Seelinger, A proof of the extended delta conjecture, Forum Math.

A formula for the Jack super nabla operator Seelinger, A proof of the extended delta conjecture, Forum Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T15:01:32.475290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:f93b4dc62188161f139437c19e1b84a1f526820bab5ef5f5c93df1728e1d6e25

Observation ef0de582-6432-4a8e-b516-fa6b1bf44e7f · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.459970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:b363360508ef672cccb82f708f79c008f21c2db704b43aa1bef0ea08e982fbca

Observation 82771091-a871-4b85-83ae-1fc5c93d26cb · outbound

This paper cites Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures.

A formula for the Jack super nabla operator Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-18T15:01:31.444563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:cd3f6dd5d72c54fcfce2fe13e383b515774f309a11b947bb4e7cf6fc77b456e1

Observation 9e989ae7-78d3-4a76-8eaf-3266c8eb3918 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.478674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:c915e1a07dc4d14a3e4c364dd7eb4eb14c7d075f13fe6d308afce62a331e343c

Observation 4edd9d7c-2843-4a54-84b7-995e4d69c845 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.472063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:1ebe698d0d74801c95b686ba3a1afd6ca42b8c97ccf748936abbc11780d1d40f

Observation 85fe6681-8cdd-43eb-bb13-fc019b713c40 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.484995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:6a12aeffec85af773a076bd98f11fab154a89056ac7799d96559c89d42d9122a

Observation 7f7e73b6-8858-4698-8aeb-dcf833f22bcb · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.448927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:3d960cf35a848418f97acb9e74ae339cb3ecb47754e81f9448368acfd3b58513

Observation 16939fe7-de95-4911-9cd3-23a7ebfa2f9b · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.455850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:a7bcbb4665da283df509675c09ad4425fd9941b9402c2366e49b928d1eea2528

Observation ec05f6da-07f8-41af-847c-6cda0d263335 · outbound

This paper cites 253--297.

A formula for the Jack super nabla operator 253--297

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T15:01:32.431173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:a532e47f80f869808d31db1f4cf23db3efa883bfcad3dac9b381a68c749cf1ff

Observation ee67128d-4286-48c5-8718-d179bd74ee62 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.434291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:90d7dc1a46998ae98988be4db0508abe07f13917611083fcb7054da6a3cd46ee

Observation 7652ebd0-542e-475a-a2f4-0fd45ea62f8e · outbound

This paper cites Hopf Algebras in Combinatorics.

A formula for the Jack super nabla operator Hopf Algebras in Combinatorics

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-18T15:01:31.417443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:23c301a97d3a2bd2f4ef887656f3afd8080b714092ee0152f350c315f4133f2d

Observation 02ed4cc8-a8ba-4f49-9979-fce224c6b390 · outbound

This paper cites 41, American Mathematical Society, Providence, RI, 2008, With an appendix on the combinatorics of Macdonald polynomials.

A formula for the Jack super nabla operator 41, American Mathematical Society, Providence, RI, 2008, With an appendix on the combinatorics of Macdonald polynomials

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T15:01:32.437986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:7556bb1c9eaf1e038db41c23578862fe1c30de6d182e1288ba03e250373d3843

Observation 510176d5-167a-45f4-bf28-a5a9c1e06d05 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.441745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:63f18a38a91bd14878b7e5c72efd475475e84cb3cb7ae2d22f0b141bd5c2e325

Observation 4dd73af7-9b91-441f-98a7-dba9e93e7944 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.398022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:a5c4adfe240124dcece8da5da6a1aef8fb47ff366c55a575a4da7798cd90763c

Observation 5bece9c8-0484-4b38-978e-4f0a8cfee69e · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.424707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:64b911972e715b826864dde59de4cd0fefc5a53d52c7009ce75296bffb0df961

Observation f74b0ec7-dcbc-46d6-a31b-f85caf8d1fae · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 25

Resolution
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raw_fallback, observed 2026-05-18T15:01:32.410973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:70cebf70bf716c13ff40538fa8088df11f0095fb27666fae95901744721790e4

Observation 86b8eed0-1e8c-4424-b4b8-7eeab50d7e19 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 26

Resolution
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raw_fallback, observed 2026-05-18T15:01:32.421467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:0a5657237cb132d8e5ed8036f8dc7f324c518121de7e7d2b1fa3e3670e0008fb

Observation ee445e89-1b4e-4f03-99bb-b1341fed83ef · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.452405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:df67d1004374c9970d71ef9f2595ffd903ea52a3ab33c00ce92f7183bffa3c92

Observation 8d66b141-f5cb-4106-b10e-bddc22b151ad · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.428015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:e55b400594061e94bd43d8c18f0514b7e1a2bf65f5a0e2d579ab46dec9998165

Observation bc78ea6b-f49c-49ae-a2b9-db0f41f71676 · outbound

This paper cites Random Partitions and the Quantum Benjamin-Ono Hierarchy.

A formula for the Jack super nabla operator Random Partitions and the Quantum Benjamin-Ono Hierarchy

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-05-18T15:01:31.412013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:eb260bf3c6974c6575ed8a20a60c436a0d896ff654dc9efd06981fed22c388f4

Observation ce67f51d-19b3-4c1d-9231-358415fa6dcc · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.417964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:a170976addcab41b5f0992d8de3ffe88cfb3b9f409614d9174d2d2145c38967b

Observation 9fe363e3-c656-435a-b3e2-e47297151928 · outbound

This paper cites Methods Appl.

A formula for the Jack super nabla operator Methods Appl

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T15:01:32.407807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:fdfe804f7d2e13d6f7892175cb00ff5e396567bd8578e6e3c4b3952aa72053e0

Observation ece17bc2-bf22-435b-a7da-e7e83d074197 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.401666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:a311671b5c3bb5181db5d48700674f1d598019e12b71369a070ae50a14b47f0e

Observation 0c064839-ab57-49fd-8bc9-a4a0893b9bd5 · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.445478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:fdb2a4cee8b3d1ed22eb2c19b8b67b318590a7b8140a2d343b53a13d5ddbf799

Observation 8e061152-a7af-45d5-a456-3c2d6ec28eea · outbound

This paper cites Stanley, Some combinatorial properties of J ack symmetric functions , Adv.

A formula for the Jack super nabla operator Stanley, Some combinatorial properties of J ack symmetric functions , Adv

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T15:01:32.414518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:96a76192c4306268e9214179d1e9d0b0e74500c98e55d3b7f6dc17dd3b8ff605

Observation b84499b7-e117-4bd6-ac96-d21b6f404d6c · outbound

This paper cites an unresolved cited work.

A formula for the Jack super nabla operator Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-05-18T15:01:32.404767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-01T06:32:01.292127+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:235a6a8a1a35884a33776024a2a596e71410b2ca71235a192ce81afaab3e2a76

Pith citing papers

No inbound Pith citation observations are available.