Pith. sign in

Paper Citation Record · LEDGER

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy

As of 14 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2606.23167.

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

pith.paper-citation-record.v1
2606.23167 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T06:09:42.622218Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-25T19:45:46.824106Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T20:40:08.662278Z

Reference resolution

35 of 35 outbound references displayed

  • verified exact4
  • verified fuzzy0
  • unresolved31
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 54f0a34c-8760-41cb-ae8d-c8f5dd2f2573 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:a380628537f59db52119d2523443bb600c9c3ce522479b175a17519f1a5cc9a1

Observation 05bbc288-969b-4549-bd49-7e51367394d8 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:7f92f83259c4bf495ff69180780a9a918b40202fd403037b87265e05bf26a646

Observation 8ab4f715-d44d-4253-97e0-2732e2821a03 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:3930bafc465c0024186c00df832684a51529ebd29221911b7457cc12c4783f74

Observation 237eb986-43f6-4ea3-8ec0-774ce5560dd8 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:8c275bad1c7b52285cf234b9b3eae0dc80903930f7f7fccb8ae7a95ae6c5aab6

Observation 839b8e15-5fae-4a49-832b-04375098eab0 · outbound

This paper cites D 241(2012), 2156–2167.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy D 241(2012), 2156–2167

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:f1985904844e9d2e09167b71aa9342b18bdbf2d6ad995167cf9b1f3ebd35b2e3

Observation 915f6363-e6d5-431a-895d-5ce47e397c19 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:96ad22005304e159687069af53798c253db37469e661d32643e5c002463f2e8c

Observation 2bd9d542-648d-46da-8e79-07b233703c65 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:e762a37993867936d192e9f963f421d4666adc95d73b127797fbab7102b0d846

Observation 198f09fc-4a11-4dab-8808-d06a03e4c8b2 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:da59034cc4fac6501257c8f204feb11d49f3d3b6cfd7f0ac23e1600bfec89d35

Observation 23afc74d-a50f-48b6-8bfb-c3bad8b32ede · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:254197978490ad3c31a7227c0313b4b371547c6f7e526a7e4a388407514c7d68

Observation 50db32b1-b7a3-4187-87ce-934e4ebe384f · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:d62603ccd926818adbd0d7302f60c99905af912c8e4ac4d9c8068fce99a1b009

Observation 4b4ede8a-c310-4015-b17c-c425100afa6f · outbound

This paper cites Pure Appl.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Pure Appl

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:7657be95b30c4b3314037419b021e15074acc373a7f39bd27384c67779e383c2

Observation d9276f8e-6c36-47f4-806f-b7407d1c4a7e · outbound

This paper cites Dubrovin, Y.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Dubrovin, Y

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-07-04T12:49:51.842089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:969d8f04a9306cfe6a057796024e4b42baf5df43935a18575856dc0f9de6157c

Observation c5df21d2-851f-4e06-a1fe-3d63a0e7bfaa · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:54242f5f3b033959e63f879321e6dd4f97f19552e2f1949df6decb26207abb4f

Observation 3b58270b-30e3-4082-8d8d-40edb8d25a1e · outbound

This paper cites In: In- tegrable and Superintegrable Systems, World Sci.(1990), 207–231.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy In: In- tegrable and Superintegrable Systems, World Sci.(1990), 207–231

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:2c17bc45e8bcb827cfb1b57aa006dad0d74ec09fe8e583872f6ba716cda64452

Observation aee95003-9d6e-4650-b237-eff8556bed6b · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:dc78c910ea41eafcf0079d7aa6288587b321a1d91ba15a56154d2818a192279a

Observation 5fc86916-68ec-4671-b9e8-1f92b3ed06da · outbound

This paper cites D 433(2022), 133180.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy D 433(2022), 133180

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:77ae8842ad9254b1d3ec7078df9c622fe69036db5111d04e854e4183094deb60

Observation 39a8e4f5-7bdf-47be-899e-43314495fdce · outbound

This paper cites Cham: Springer International Publishing(2019), 573–625.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Cham: Springer International Publishing(2019), 573–625

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:564cb159b5785cd06dc093c11608c55749f07003e3b782238ed4a049d2bf56a7

Observation aa4ee245-726e-42c9-817f-6a51f931d2d8 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:8a4b892b59f3a71f03831f40932bf7326b81090a68dff6e53a9b61f280dfdd07

Observation bda2da4c-9cb0-47f3-88b9-b4b115412157 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:07b40b6b56ae27629fe21415430800f787464a2dfbd0e21ef8381765bdbbb99a

Observation d5a82adc-79e7-4334-a204-eb9e9488206e · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:80d4b0d2c374ca0424c29bf229ee8b3d1f25eca2cc69ff60cdd9ad69f88f636a

Observation 4349e8c2-d7c9-4e8a-aa11-939a395ab52f · outbound

This paper cites The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-07-04T12:49:51.845377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:26f697cc0b6a3712f56e19097f2ff427b14cc32efcaa4c4c320ca2b1e6f7a55b

Observation c5ddff39-1185-40d1-b207-1701f3abe889 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:40811d30e4fb0f4e4410f5efe1f9b5fe19402ab983d25a1144543ca961b933d4

Observation 506672ad-fc4d-4ff7-8138-3b9990690b0b · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:34ade34f3d8bcc485deffe962463191c3f71d4def8342face225b33d30829ddf

Observation 3b51e82f-2579-42aa-976b-a5663d5d565e · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:f3a28be235f14e9bab903af535f44bf33f80104d02b6f2f63e5b91c22b0cec23

Observation 831a035d-40d7-450e-9c95-41f46fdea358 · outbound

This paper cites Principal hierarchy of Frobenius manifolds with rational and trigonometric superpotentials.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Principal hierarchy of Frobenius manifolds with rational and trigonometric superpotentials

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-07-04T12:49:51.834106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:fcd7301975fbd46568f05fe8a310c7ae8018d7edb511793aa75e12cd7b6b867a

Observation e79e77c2-4049-4de5-8923-d7d94fd80a67 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:48f028c3fae635742a85b8e01043ef2697b9c7a2912209b7df4c9886ac129835

Observation 97554048-a809-4ab4-bfbb-2c12f0037126 · outbound

This paper cites 30(1979), 414–418.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy 30(1979), 414–418

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:0e26ed44c3d9d8484e54210ca8d0728334ae67286db97edf59876e1a1bd8b650

Observation 16250860-e923-4a14-8b12-2ae552a38be7 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:7963d3ef4949d2a9b509ebb616ff60125c18269a38d456ddfefa6a694b45c011

Observation 4423db31-2694-4369-b163-dde3a6c5f95b · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-07-04T12:49:51.838808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:07b937f0a15ebe0874f9578716d38d34f31b5e137fe6ee3f49530c2738098729

Observation d74a26a3-c3af-4dc9-9b18-c525aa772e7a · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:d6aa09691448177525094da4a4868db513842d4f95b446fc4face07e1c97b19e

Observation e7ced34b-a067-48ca-a07c-4577cf1e892b · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:cbea51631959259d9c859fdfcda0e495d8e8a2bb9681f124b237ba57b64f6dfa

Observation 0a8f2029-e9f0-4583-97d3-545cda059f6e · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:a9e4d870aa3de35ddb1f263b799b3d9390f3a732621dcf84310a3ce3b751c30d

Observation 726f1bc8-65c8-43bb-ac34-b2be3eb4c54a · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 33

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:9ce5e8ecc1d82c89a511a7cf16322058ed5bad448080aad079b4ebe18f409439

Observation 918d625a-a1e3-4aed-bdce-1fed144225f5 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 34

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:7b0cd0207df88dc223371354c12649a14edd4af3f69f7b50ca11b18f66eb16d8

Observation 2f78a86c-2620-481f-8290-e475c4b29dd3 · outbound

This paper cites an unresolved cited work.

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-06-26T06:09:42.622218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T06:09:42.622218Z digest=sha256:0edf7be336a999c4fde1e8e7c657be0b521d4bcdc1594d2e7b70e0027388a2c3

Pith citing papers

Observation 49d01e4a-6b3e-4c46-b0f0-616dc324da1a · inbound

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold cites this paper.

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-07-04T20:40:08.664010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-25T19:45:46.824106Z digest=sha256:f0c96b47fc80a9b2b12b8d961a6ed0057eacaced0160934b4b97ec992395111d