Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:00:00.233977Z
Paper Citation Record · LEDGER
Raising and lowering maps for tridiagonal pairs
As of 17 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2507.19400.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
46 of 46 outbound references displayed
- verified exact24
- verified fuzzy5
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6eccffc3-525a-4c60-a64a-dd495c07d64a · outbound
This paper cites Bannai, Et.
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:59:59.991181Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cbacc79c-377c-42fe-9b0a-9d0667ec9a39 · outbound
This paper cites Distance-regular graphs with classical parameters that support a uniform structure: case $q \le 1$.
Raising and lowering maps for tridiagonal pairs Distance-regular graphs with classical parameters that support a uniform structure: case $q \le 1$
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.931020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 75f0ed4a-3cee-408c-b813-969a8dea1519 · outbound
This paper cites Distance-regular graphs with classical parameters that support a uniform structure: case $q \ge 2$.
Raising and lowering maps for tridiagonal pairs Distance-regular graphs with classical parameters that support a uniform structure: case $q \ge 2$
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.915078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 325ae0c5-ef36-46d5-8de7-f1b9c32e79a8 · outbound
This paper cites Two commuting operators associated with a tridiagonal pair.
Raising and lowering maps for tridiagonal pairs Two commuting operators associated with a tridiagonal pair
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.897897Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation afcbf707-99f2-495b-ad5a-a7f4cacdf442 · outbound
This paper cites Tridiagonal pairs of $q$-Racah type, the double lowering operator $\psi$, and the quantum algebra $U_q(\mathfrak{sl}_2)$.
Raising and lowering maps for tridiagonal pairs Tridiagonal pairs of $q$-Racah type, the double lowering operator $\psi$, and the quantum algebra $U_q(\mathfrak{sl}_2)$
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.881334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 720553cb-0543-49be-83d4-2ede34f73b35 · outbound
This paper cites The algebra $U_q({\mathfrak{sl}_2})$ in disguise.
Raising and lowering maps for tridiagonal pairs The algebra $U_q({\mathfrak{sl}_2})$ in disguise
Reference 6
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-15T18:00:00.864565Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a804fe94-c93c-444d-8a83-0709a7ec8f85 · outbound
This paper cites Some $q$-exponential formulas involving the double lowering operator $\psi$ for a tridiagonal pair.
Raising and lowering maps for tridiagonal pairs Some $q$-exponential formulas involving the double lowering operator $\psi$ for a tridiagonal pair
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.848976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b384f99e-130b-4462-b1a1-9667d6924a71 · outbound
This paper cites an unresolved cited work.
Raising and lowering maps for tridiagonal pairs Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:00:01.015057Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ad3b0bc8-884e-4777-8e51-4d1b9e562830 · outbound
This paper cites Dickie and P.
Raising and lowering maps for tridiagonal pairs Dickie and P
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:00:01.003943Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 508ea41f-bccf-4f38-ad8b-0e2795d74392 · outbound
This paper cites The Tetrahedron algebra and its finite-dimensional irreducible modules.
Raising and lowering maps for tridiagonal pairs The Tetrahedron algebra and its finite-dimensional irreducible modules
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.833575Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4e6474b0-ddea-4dff-a5de-5cc95ab2fcc0 · outbound
This paper cites Hora and N.
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:00:00.992503Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e819e92a-ced1-43b1-a6a3-719d30a9bb4c · outbound
This paper cites an unresolved cited work.
Raising and lowering maps for tridiagonal pairs Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:00:00.980051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e894a047-e5b8-4993-8c4a-3ecaad05b23e · outbound
This paper cites A classification of sharp tridiagonal pairs.
Raising and lowering maps for tridiagonal pairs A classification of sharp tridiagonal pairs
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.064601Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e528d9b-7207-44ea-8af5-ab5f8a0e3438 · outbound
This paper cites an unresolved cited work.
Raising and lowering maps for tridiagonal pairs Unresolved cited work
Reference 14
- Resolution
- verified exact
- raw_fallback, observed 2026-08-15T18:00:00.807393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 17e4038b-a104-4bb6-aabd-d12a5ef5cc3f · outbound
This paper cites Ito and P.
Reference 15
- Resolution
- verified exact
- raw_fallback, observed 2026-08-15T18:00:00.725607Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7530ebc5-0695-4e6c-b67b-75830c6ee05d · outbound
This paper cites Tridiagonal pairs and the quantum affine algebra $U_q({\hat {sl}}_2)$.
Raising and lowering maps for tridiagonal pairs Tridiagonal pairs and the quantum affine algebra $U_q({\hat {sl}}_2)$
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.653793Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 685fbf5b-929e-4ead-a98f-01f6111a20ee · outbound
This paper cites Tridiagonal pairs of Krawtchouk type.
Raising and lowering maps for tridiagonal pairs Tridiagonal pairs of Krawtchouk type
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.636491Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 04831ce0-ae61-4ffd-9231-0e66b892bcb7 · outbound
This paper cites Finite-dimensional irreducible modules for the three-point $\mathfrak{sl}_2$ loop algebra.
Raising and lowering maps for tridiagonal pairs Finite-dimensional irreducible modules for the three-point $\mathfrak{sl}_2$ loop algebra
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.619361Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 81d3779f-19e4-4594-b2e6-9b071a1c301d · outbound
This paper cites The Drinfel'd polynomial of a tridiagonal pair.
Raising and lowering maps for tridiagonal pairs The Drinfel'd polynomial of a tridiagonal pair
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.605356Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ae9f1d79-9305-466b-bd06-5dbbf76c4893 · outbound
This paper cites Tridiagonal pairs of $q$-Racah type.
Raising and lowering maps for tridiagonal pairs Tridiagonal pairs of $q$-Racah type
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.590413Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c56e03a1-1ebb-41ac-874e-b83cc6b8ade5 · outbound
This paper cites The augmented tridiagonal algebra.
Raising and lowering maps for tridiagonal pairs The augmented tridiagonal algebra
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.113103Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8fb9a502-15aa-4947-84df-6e382270bcef · outbound
This paper cites Bipartite Q-polynomial distance-regular graphs and uniform posets.
Raising and lowering maps for tridiagonal pairs Bipartite Q-polynomial distance-regular graphs and uniform posets
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.564083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation da0f2062-b084-462e-a271-382db6e04118 · outbound
This paper cites The split decomposition of a tridiagonal pair.
Raising and lowering maps for tridiagonal pairs The split decomposition of a tridiagonal pair
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.549593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0846cb63-5580-4885-9a4b-4704b5b6d525 · outbound
This paper cites Sharp tridiagonal pairs.
Raising and lowering maps for tridiagonal pairs Sharp tridiagonal pairs
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.534472Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a2775ef1-7cb0-4b8d-96fd-d522c6f5fa11 · outbound
This paper cites Towards a classification of the tridiagonal pairs.
Raising and lowering maps for tridiagonal pairs Towards a classification of the tridiagonal pairs
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.518666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b861f515-0a1f-468c-a328-20752c19b3a7 · outbound
This paper cites On the shape of a tridiagonal pair.
Raising and lowering maps for tridiagonal pairs On the shape of a tridiagonal pair
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.503392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 90670418-8e8a-492d-8826-b7da3137bc41 · outbound
This paper cites Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs.
Raising and lowering maps for tridiagonal pairs Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.145125Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42b3de32-de6e-412f-92b7-3d945b5a644d · outbound
This paper cites Totally bipartite tridiagonal pairs.
Raising and lowering maps for tridiagonal pairs Totally bipartite tridiagonal pairs
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.151017Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c331ec8c-c4cf-42b7-8b53-fe2881164f38 · outbound
This paper cites Leonard pairs, spin models, and distance-regular graphs.
Raising and lowering maps for tridiagonal pairs Leonard pairs, spin models, and distance-regular graphs
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.156424Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a17c04fc-d84f-4b5f-816c-a8da04c1163b · outbound
This paper cites Terwilliger.
Raising and lowering maps for tridiagonal pairs Terwilliger
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:00:00.968302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation dbb37148-1643-456c-a568-7c41b60f1ef1 · outbound
This paper cites Terwilliger.
Raising and lowering maps for tridiagonal pairs Terwilliger
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:00:00.954942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1d55ab4f-30d6-492a-9339-fe910f39f611 · outbound
This paper cites Terwilliger.
Raising and lowering maps for tridiagonal pairs Terwilliger
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:00:00.942804Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ef34b54c-caf6-4cd8-b6b3-a3b599d66c98 · outbound
This paper cites Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations.
Raising and lowering maps for tridiagonal pairs Two relations that generalize the $q$-Serre relations and the Dolan-Grady relations
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.172956Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1a32304-2470-42a6-9e7f-5d8e11d1a517 · outbound
This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other.
Raising and lowering maps for tridiagonal pairs Two linear transformations each tridiagonal with respect to an eigenbasis of the other
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.177628Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b559af0f-d282-4f92-945e-02c20ca25a52 · outbound
This paper cites Leonard pairs from 24 points of view.
Raising and lowering maps for tridiagonal pairs Leonard pairs from 24 points of view
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.182125Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0f7ccf02-7f2c-4ddd-b10b-7ccad372513e · outbound
This paper cites Leonard pairs and the q-Racah polynomials.
Raising and lowering maps for tridiagonal pairs Leonard pairs and the q-Racah polynomials
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.186005Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c968cba1-9867-4f60-b4f3-2d4b7ad55047 · outbound
This paper cites Two linear transformations each tri-diagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form.
Raising and lowering maps for tridiagonal pairs Two linear transformations each tri-diagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form
Reference 37
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.413268Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2defe82c-840d-47a7-aad6-5a621ab79ef7 · outbound
This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array.
Raising and lowering maps for tridiagonal pairs Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
Reference 38
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.396746Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a7a86248-78c4-4ea6-9942-8ddc48afd3fb · outbound
This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the split decomposition.
Raising and lowering maps for tridiagonal pairs Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the split decomposition
Reference 39
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.379176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7292064b-4618-4642-b677-adcf63844ebb · outbound
This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials.
Raising and lowering maps for tridiagonal pairs Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.202877Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52b21de5-8f84-46e3-8a9a-b2e59065d3f2 · outbound
This paper cites Notes on the Leonard system classification.
Raising and lowering maps for tridiagonal pairs Notes on the Leonard system classification
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.208438Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ab4e901-29b0-41fc-b126-028e525cc7e1 · outbound
This paper cites Tridiagonal pairs, alternating elements, and distance-regular graphs.
Raising and lowering maps for tridiagonal pairs Tridiagonal pairs, alternating elements, and distance-regular graphs
Reference 42
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.342361Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 103dd5ce-7803-4a9d-8146-4adcc5eb5577 · outbound
This paper cites Distance-regular graphs, the subconstituent algebra, and the $Q$-polynomial property.
Raising and lowering maps for tridiagonal pairs Distance-regular graphs, the subconstituent algebra, and the $Q$-polynomial property
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.217195Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac7d4495-917b-4e9a-a580-0f72d70bb035 · outbound
This paper cites Leonard pairs and the Askey-Wilson relations.
Raising and lowering maps for tridiagonal pairs Leonard pairs and the Askey-Wilson relations
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:00:00.221987Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e106b7df-ee21-4452-99c7-da2a1d516ba6 · outbound
This paper cites The quantum adjacency algebra and subconstituent algebra of a graph.
Raising and lowering maps for tridiagonal pairs The quantum adjacency algebra and subconstituent algebra of a graph
Reference 45
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.302198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 37ba7536-f32f-439b-b072-62a0f931a21d · outbound
This paper cites Dual polar graphs, the quantum algebra U_q(sl_2), and Leonard systems of dual q-Krawtchouk type.
Raising and lowering maps for tridiagonal pairs Dual polar graphs, the quantum algebra U_q(sl_2), and Leonard systems of dual q-Krawtchouk type
Reference 46
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:00:00.283488Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
No inbound Pith citation observations are available.