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Paper Citation Record · LEDGER

Compact symmetric triads and symmetric triads with multiplicities

As of 22 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2506.02511.

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

pith.paper-citation-record.v1
2506.02511 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:30:19.415921Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

29 of 29 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c62094ee-bbb8-4640-92ff-ab7f00038abf · outbound

This paper cites Baba and O.

Compact symmetric triads and symmetric triads with multiplicities Baba and O

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.889072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 910ded0c-6482-4949-bc30-82f93d0353cf · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.872587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.282368Z digest=sha256:bcb5c9b5fcf17b20145ba2e1a28dd22c82167237d8f6b227508a8b2d9f090e18

Observation bd26753d-c852-4055-bbdc-8af39a48dcdb · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.857188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.287206Z digest=sha256:2bdaccb1eaf5cc322550dc7b5c565c4fb7f757c55fcebd6ce135719b82c82e45

Observation f8b3278b-ec6a-4359-b4c6-5fd50dded4ce · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.841053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.292264Z digest=sha256:fb509618632f32d194e2b86e152ab1ac8ddc1167b5c230ce3c91c05fc0a65565

Observation 57a62f17-d54b-40e0-888f-5300fd4bd6b7 · outbound

This paper cites Berger, Les espaces symmetriques noncompacts, Ann.

Compact symmetric triads and symmetric triads with multiplicities Berger, Les espaces symmetriques noncompacts, Ann

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.826132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.297500Z digest=sha256:0cc45355f438f44f82bda0a414f7673add2efa9ea0c7243f849edd6aa5981c1a

Observation d0338455-713f-4f30-b669-491e536bf74f · outbound

This paper cites Bourbaki, Groupes et algebres de Lie, Hermann, Paris, 1978.

Compact symmetric triads and symmetric triads with multiplicities Bourbaki, Groupes et algebres de Lie, Hermann, Paris, 1978

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.810792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.302195Z digest=sha256:51799602820f0321f8e90811bfec6eb17ee8a8e4c2f49f860d8877f17c15422d

Observation 98638ec1-8829-448d-8f2f-05fd5cf10c43 · outbound

This paper cites Conlon, Remarks on commuting involutions, Proc.

Compact symmetric triads and symmetric triads with multiplicities Conlon, Remarks on commuting involutions, Proc

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.795903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.308149Z digest=sha256:d0423697a8199aa319e7b5e167c1e57a17421a6d8cecc96c45b511bc5eb125e6

Observation 809790c9-416d-4e79-a459-d3b6cd39e977 · outbound

This paper cites Harvey and H.

Compact symmetric triads and symmetric triads with multiplicities Harvey and H

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.780926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.313648Z digest=sha256:158d5f7894675d85bcc3f55aa8c9d0eb0e674d7559c3c327e57d8d7797984b0f

Observation 613ab4c1-a2f3-4295-8c07-f2c5f853d0b0 · outbound

This paper cites Heintze, R.

Compact symmetric triads and symmetric triads with multiplicities Heintze, R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.766651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.318550Z digest=sha256:0751fae431560a0ad34eff341af56744f5667ca8d441a751b96a916185aea0fa

Observation 0ce4e5e8-e793-42b1-880c-5301706b2360 · outbound

This paper cites Helgason, Differential geometry, Lie groups, and symmetric spaces, Academic Press, 1978.

Compact symmetric triads and symmetric triads with multiplicities Helgason, Differential geometry, Lie groups, and symmetric spaces, Academic Press, 1978

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.751741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.323802Z digest=sha256:e631f33855bcfa9aff2ce7a5b5a709dd8d4bb507d975e252f91a66b0519b891e

Observation dac2aa23-94c0-453e-8cde-a1073304de5b · outbound

This paper cites Hermann, Totally geodesic orbits of groups of isometries, Nederl.

Compact symmetric triads and symmetric triads with multiplicities Hermann, Totally geodesic orbits of groups of isometries, Nederl

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.736989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.328759Z digest=sha256:50efe6d34ee777341333af9924163ce29bfbb73ab3efa9a744b85d10aa9d21da

Observation 6dc24433-8fd2-44de-af06-4afa74e2cac3 · outbound

This paper cites Ikawa, The geometry of symmetric triad and orbit spaces of Hermann actions, J.

Compact symmetric triads and symmetric triads with multiplicities Ikawa, The geometry of symmetric triad and orbit spaces of Hermann actions, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.722721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.334073Z digest=sha256:b6378f72d5fb1e7d1efdc83c399c5abe0abf283161b3de82a9bb4ddaacc46cc8

Observation d9376861-6c88-4cce-bc31-4e5a67e71ea8 · outbound

This paper cites Ikawa,σ-actions and symmetric triads, Tohoku Math J.,70, no.

Compact symmetric triads and symmetric triads with multiplicities Ikawa,σ-actions and symmetric triads, Tohoku Math J.,70, no

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.708390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.338563Z digest=sha256:54d6359b9b01fd3e5155ec027fdcd7d825a0b50a9d31d8e793cc32f89646c71f

Observation eea4ae2a-b775-4d7c-bcb7-e62ee1c8ba0d · outbound

This paper cites Ikawa, The geometry of orbits of Hermann type actions, Contemporary Perspectives in Differential Geometry and its Related Fields, (2018), 67–78.

Compact symmetric triads and symmetric triads with multiplicities Ikawa, The geometry of orbits of Hermann type actions, Contemporary Perspectives in Differential Geometry and its Related Fields, (2018), 67–78

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.691559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.343733Z digest=sha256:9fbfdc87da76331a80f609adfaaf0a05197fa35f20c8caf582ef00d17a756ce3

Observation a20fe446-23a7-4f11-9d97-78ce12aa539a · outbound

This paper cites Ikawa, T.

Compact symmetric triads and symmetric triads with multiplicities Ikawa, T

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.676780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.348280Z digest=sha256:7376f456202ebe0978d2aa9d7486da55849689ce5c6d15390e4298caabd488b3

Observation 8846fb34-2388-4fd2-8303-01a5880ce927 · outbound

This paper cites Ikawa, M.

Compact symmetric triads and symmetric triads with multiplicities Ikawa, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.661132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.353140Z digest=sha256:db8155d35afb3b4c3c61ec8ceac20e894ec586d88b7092134aa8ee536a6f3994

Observation e75ffe9f-99b1-4a06-981a-660a58a9f95b · outbound

This paper cites Klein, Reconstructing the geometric structure of a Riemannian symmetric space from its Satake diagram, Geom Dedicata138(2009), 25–50.

Compact symmetric triads and symmetric triads with multiplicities Klein, Reconstructing the geometric structure of a Riemannian symmetric space from its Satake diagram, Geom Dedicata138(2009), 25–50

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.646141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.357445Z digest=sha256:6b212066fd2a2e13e9d12977b934602f8d323ddf369dcf2e87ce672d0791331e

Observation 0aa08412-9d7f-4901-ba00-3d0358622481 · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.630424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.362829Z digest=sha256:2500fbcf52000e90b61b5ef2706c7d0cb36bd22857cabf84a2df688a77fa2398

Observation 9bac938d-fb47-4bed-b7a8-d95e8d30526c · outbound

This paper cites Kobayashi and K.

Compact symmetric triads and symmetric triads with multiplicities Kobayashi and K

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.615406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.367253Z digest=sha256:d203f6e0dd72ee0f47b2e5268a823b21eddcee6802ce7d19b35e11c1a7b0f6b9

Observation 0a645628-f89e-4149-95da-5d2502dd4d9a · outbound

This paper cites Kollross, A classification of hyperpolar and cohomogeneity one actions, Trans.

Compact symmetric triads and symmetric triads with multiplicities Kollross, A classification of hyperpolar and cohomogeneity one actions, Trans

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.600333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.372586Z digest=sha256:9f38e0c48aa9f9b7571cd48313ee36c04317e0b173461d820288b7c70537a33d

Observation 41e96546-ba10-42fe-a9f5-2ae4408c333f · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.584932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.376907Z digest=sha256:14392fe6413ba084b7e75eda82d7e864b27d28052dcd663b04ec938462d00a0d

Observation 8d3d1447-b0b9-4750-952a-db767ed190f0 · outbound

This paper cites Matsuki, Double Coset Decompositions of Reductive Lie Groups Arising from Two Involutions, J.

Compact symmetric triads and symmetric triads with multiplicities Matsuki, Double Coset Decompositions of Reductive Lie Groups Arising from Two Involutions, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.570513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.382679Z digest=sha256:34c76824999cf8eca4dff6aadc2a6418329f6c2f782d5508a22e46552838c537

Observation b0f164f1-9c32-4cd0-a2fd-f14f04e1dbc6 · outbound

This paper cites Matsuki, Classification of two involutions on semisimple compact Lie groups and root systems, J.

Compact symmetric triads and symmetric triads with multiplicities Matsuki, Classification of two involutions on semisimple compact Lie groups and root systems, J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.554764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.387249Z digest=sha256:f94ae9171b1f9b4d7b8b4021f0534c27ce83c6d652450b5b3f6cbaa0c396d246

Observation 970691f7-cd4b-45bc-a7e0-9b10065984a9 · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.538270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.392157Z digest=sha256:985806b5d1e462a07ad75908a081272b03d4f90871598272de21cc1ff5cac884

Observation 1f7764a1-e5b1-4702-8a9d-aa91dcc40752 · outbound

This paper cites Ohno, A sufficient condition for orbits of Hermann actions to be weakly reflective, Tokyo J.

Compact symmetric triads and symmetric triads with multiplicities Ohno, A sufficient condition for orbits of Hermann actions to be weakly reflective, Tokyo J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.520294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.396908Z digest=sha256:a868a2aab10902ab44571ab603569312690455e594ec291a1017052674eda1bf

Observation 99f936f6-28a1-4558-a66a-9579e3ed7b25 · outbound

This paper cites Ohno, Geometric Properties of Orbits of Hermann actions, Tokyo J.

Compact symmetric triads and symmetric triads with multiplicities Ohno, Geometric Properties of Orbits of Hermann actions, Tokyo J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.504915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.401538Z digest=sha256:937cfe84043b4f3ff839b8b7dbd2fe2c7c0a87c0fa0bb6879e6c487ff2538274

Observation acbd1d1e-e43e-4762-a3b9-d5ae341fdcd5 · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.488788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.406804Z digest=sha256:818f2545e1150fa3a81f5156a75c742316800de6489b312e00e5f3fb599effcd

Observation 17ad6040-8b27-4caf-b114-270be9a99e8d · outbound

This paper cites Takeuchi, Modern spherical functions, Translations of mathematical monographs,135, Amer.

Compact symmetric triads and symmetric triads with multiplicities Takeuchi, Modern spherical functions, Translations of mathematical monographs,135, Amer

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.473357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.411625Z digest=sha256:6d3050525f8594956614b84c19e1c31df6cf1370a67416e429b46d09f9d4638b

Observation 8c7325d4-d4a8-4464-98db-9f2f21cdfad6 · outbound

This paper cites Warner, Harmonic analysis on semi-simple Lie groups.

Compact symmetric triads and symmetric triads with multiplicities Warner, Harmonic analysis on semi-simple Lie groups

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.456054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:30:19.415921Z digest=sha256:c2f7d92a0f3bc3a14a3e65228f8ffefbf3ec548c9ba034294e3d3d702eac8e51

Pith citing papers

No inbound Pith citation observations are available.