{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:35VW2OGXEYJC2QEPSMEH3RLRQY","short_pith_number":"pith:35VW2OGX","schema_version":"1.0","canonical_sha256":"df6b6d38d726122d408f93087dc571861a60f4f20255f3e8fa0deef3162b30e2","source":{"kind":"arxiv","id":"2302.07331","version":2},"attestation_state":"computed","paper":{"title":"Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yannick Mvondo-She","submitted_at":"2023-02-14T20:24:31Z","abstract_excerpt":"We give a probabilistic interpretation of the configurational partition function of the logarithmic sector of critical cosmological topologically massive gravity, in which the Hurwitz numbers considered in our previous works assume the role of probabilities in a distribution on cycles of permutations. In particular, it is shown that the permutations are distributed according to the Ewens sampling formula which plays a major role in the theory of partition structures and their applications to diffusive processes of fragmentation, and in random trees. This new probabilistic result together with "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2302.07331","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-02-14T20:24:31Z","cross_cats_sorted":[],"title_canon_sha256":"e22afcbc949af3fd353527bfd7fff09531a4aa336b7fb3fadbb17509814a754a","abstract_canon_sha256":"68fbf0774cba008a56aadee56eaac8151bb1917a615827ab0e9914173d5eeef5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:01:29.541046Z","signature_b64":"drW1Qe5cj4pG+G51sbn2AL0sF6jLlUanqwcqAd6rX/zGhu+Rz41SiNiWzLfuxTkc7Oba3P/dR3UDhvbkMz2sBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df6b6d38d726122d408f93087dc571861a60f4f20255f3e8fa0deef3162b30e2","last_reissued_at":"2026-07-05T08:01:29.540637Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:01:29.540637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yannick Mvondo-She","submitted_at":"2023-02-14T20:24:31Z","abstract_excerpt":"We give a probabilistic interpretation of the configurational partition function of the logarithmic sector of critical cosmological topologically massive gravity, in which the Hurwitz numbers considered in our previous works assume the role of probabilities in a distribution on cycles of permutations. In particular, it is shown that the permutations are distributed according to the Ewens sampling formula which plays a major role in the theory of partition structures and their applications to diffusive processes of fragmentation, and in random trees. This new probabilistic result together with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.07331","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2302.07331/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2302.07331","created_at":"2026-07-05T08:01:29.540695+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.07331v2","created_at":"2026-07-05T08:01:29.540695+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.07331","created_at":"2026-07-05T08:01:29.540695+00:00"},{"alias_kind":"pith_short_12","alias_value":"35VW2OGXEYJC","created_at":"2026-07-05T08:01:29.540695+00:00"},{"alias_kind":"pith_short_16","alias_value":"35VW2OGXEYJC2QEP","created_at":"2026-07-05T08:01:29.540695+00:00"},{"alias_kind":"pith_short_8","alias_value":"35VW2OGX","created_at":"2026-07-05T08:01:29.540695+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/35VW2OGXEYJC2QEPSMEH3RLRQY","json":"https://pith.science/pith/35VW2OGXEYJC2QEPSMEH3RLRQY.json","graph_json":"https://pith.science/api/pith-number/35VW2OGXEYJC2QEPSMEH3RLRQY/graph.json","events_json":"https://pith.science/api/pith-number/35VW2OGXEYJC2QEPSMEH3RLRQY/events.json","paper":"https://pith.science/paper/35VW2OGX"},"agent_actions":{"view_html":"https://pith.science/pith/35VW2OGXEYJC2QEPSMEH3RLRQY","download_json":"https://pith.science/pith/35VW2OGXEYJC2QEPSMEH3RLRQY.json","view_paper":"https://pith.science/paper/35VW2OGX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.07331&json=true","fetch_graph":"https://pith.science/api/pith-number/35VW2OGXEYJC2QEPSMEH3RLRQY/graph.json","fetch_events":"https://pith.science/api/pith-number/35VW2OGXEYJC2QEPSMEH3RLRQY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/35VW2OGXEYJC2QEPSMEH3RLRQY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/35VW2OGXEYJC2QEPSMEH3RLRQY/action/storage_attestation","attest_author":"https://pith.science/pith/35VW2OGXEYJC2QEPSMEH3RLRQY/action/author_attestation","sign_citation":"https://pith.science/pith/35VW2OGXEYJC2QEPSMEH3RLRQY/action/citation_signature","submit_replication":"https://pith.science/pith/35VW2OGXEYJC2QEPSMEH3RLRQY/action/replication_record"}},"created_at":"2026-07-05T08:01:29.540695+00:00","updated_at":"2026-07-05T08:01:29.540695+00:00"}