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Paper Citation Record · LEDGER

A formula for the Jack super nabla operator

As of 20 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 2026-08-20T06:33:59.587034+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

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:77d6a9bcfddcc4f3ac58035cd8ec6dfdacf33aa34154288f6eae930b21b57f83

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:a7da4e756d367e2b47b4c3f045cb041c0158cabc0ca3df475fc72dbbc7405ac5

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:f880df3bd747905da2148bf511e1d4dc84a799889d378038db92625151d04333

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:9b3a3f7754b87a91b2c42105cd02b72f64b82e8693d4d98e7e0f7a851da3d145

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:7787671e4f6439a0876a79b06fb91f721e44c6ee79e5efa6ae076e649876654b

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:1b12ff2388329739a82472ec9468f56362bce560c76dd009d4d4bb9999165eb2

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:f0258de056f96a4aeec470b4dc2bdd11dda093e80143d55a0b7bf1fa996ea6a9

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:ae0bb9ee7fd954e6177ea5d21a41297c8e84972a5d2657414040299097da5b66

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:29ef2499a821af7a7e223edd28d7e1d28a8210c33a849f3f855876cf1784bda4

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:164dcf997528967f78f0b97c264cd59bd6ff04a85393528c62f99bc200517854

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:4192ca7e8025860ea155eabcfde58e71a605e09e8d7a8542a7a3838beb2d4315

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:e657f91d6f85aa61cf9e5b8c1caa97cae4e81e2d470ec2ccbb3331a597c748b0

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:56818d61e02d45fa514ce540446de71bd865fdc2f64d67f868fc24018cc2021a

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:9345a88ba6018508e37013865644eb647ce1da72aca397e054d2e987c97b123f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:d2e72936d6e7521fbb405cf4d02005ae194e41d1c2dbf8a986e5dea7d0ee648b

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:c755171dceb2463657b95a384f167ed0f23610287019e0029bca49e34d67c84a

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:0e73187761da8c0da900ae89fdb49ff100fcb5ea8ae15a8f14409c2e453dfd50

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:64a7cae217d364648d00dcc84afb1f90c06f14311ef8c861534a256acbeef2da

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:c73d794b214918323fb21efec5cf22232c69ab6c3473bc0931b95c2f3f93f8c4

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:f7287d9f89fce2c045bc985dc7e00f92e5e8dc6f52fe16d81749c88b1f38032c

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:9dd46dbd264ea1ca5b90b5ec63d6a4b47a388ebb342971e5c68d4cb28a53298c

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:855505a39357d0b72697c45af93d6ac0bd3c6e5a15a33a229fe77e3de79683d9

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:3232eb39a011cc87293e2fe846abe1caa84778c9b1d23e7a932e84c8a90a27a9

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:5099fbd8d5e5355163e4175586f8a61d8444030d261c9a624fc68dbcb7490ca2

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:3791bdbbbf75e9787e5ecc8042a47a8f88c1d98884dae471ef4ba49cf1c190fd

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
unresolved
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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:df3de2717424a87acef43ca88977d516d9f7513b3827bd76c1c6b34ce50506a4

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:978bfc58167b9f40d5f9c2ae71bd87c098ff30ec4575418412ebec4a67f6348e

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:1811d7ecd86e431fd07e848db87bce76dbeb8b6e82796a1d48e15859315b68db

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:439e6e8d60d2e48fba92cd94c60dacbdb5cefc78de3b2e831ee2608a4ad4574b

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:97a5991bc46a9368ee8063008ae5c79374021c199b5386ceac7ae0d880c0dd97

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:81bd797a6e867aa9f523a3d1796a6af7073310e22d2c680b26342cb668416be0

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:a146e9f1be161e0d0f9ccca5685a4b2f083bf01731b9449e0b6a201e416a96ce

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:e2b9970ca3541aec8ec98d82fb9bf3fd8d858088045d362cad49764968499f18

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:c08769a943e766fcbf4699e58f2dfa6149e3eb49dffb6f05754a3c7e6dec78aa

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-18T14:59:57.552206Z digest=sha256:ac5f9cec1219a3dba21b48f9e4703857dfda5292823405f7d68af11102665460

Pith citing papers

No inbound Pith citation observations are available.