{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:WTN35END2QEL7TMKA6TSDV73TC","short_pith_number":"pith:WTN35END","canonical_record":{"source":{"id":"2502.11600","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-17T09:38:43Z","cross_cats_sorted":[],"title_canon_sha256":"047497282df2bdaa11564cce4d457c39ed8272c1cd7cef0b93af640f0ca4ef55","abstract_canon_sha256":"0323188bffe6d0498c9bed1357377fb45d374606dc10c4a945faade97e7eacd4"},"schema_version":"1.0"},"canonical_sha256":"b4dbbe91a3d408bfcd8a07a721d7fb98b583f60a363e5a559ac68e23db2f7e46","source":{"kind":"arxiv","id":"2502.11600","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.11600","created_at":"2026-07-05T10:17:17Z"},{"alias_kind":"arxiv_version","alias_value":"2502.11600v2","created_at":"2026-07-05T10:17:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.11600","created_at":"2026-07-05T10:17:17Z"},{"alias_kind":"pith_short_12","alias_value":"WTN35END2QEL","created_at":"2026-07-05T10:17:17Z"},{"alias_kind":"pith_short_16","alias_value":"WTN35END2QEL7TMK","created_at":"2026-07-05T10:17:17Z"},{"alias_kind":"pith_short_8","alias_value":"WTN35END","created_at":"2026-07-05T10:17:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:WTN35END2QEL7TMKA6TSDV73TC","target":"record","payload":{"canonical_record":{"source":{"id":"2502.11600","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-17T09:38:43Z","cross_cats_sorted":[],"title_canon_sha256":"047497282df2bdaa11564cce4d457c39ed8272c1cd7cef0b93af640f0ca4ef55","abstract_canon_sha256":"0323188bffe6d0498c9bed1357377fb45d374606dc10c4a945faade97e7eacd4"},"schema_version":"1.0"},"canonical_sha256":"b4dbbe91a3d408bfcd8a07a721d7fb98b583f60a363e5a559ac68e23db2f7e46","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:17:17.774331Z","signature_b64":"+XVVHQiNXxPLZPiQ9biDg25r6ZuBBpxGGdenfEKORqqxAY0zQrPpA3r1x8V3Hnt/v5BX37C0CqCZ6y2QN6lsCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4dbbe91a3d408bfcd8a07a721d7fb98b583f60a363e5a559ac68e23db2f7e46","last_reissued_at":"2026-07-05T10:17:17.773776Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:17:17.773776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.11600","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:17:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BfMxHuoAnwX2ksSNzjGNhizy2cQUIDde84PXLyNO+5lumJBCcrlsPO7s4q/tT5BKO0X6Y5iCkgADlemE0exqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T07:30:39.647200Z"},"content_sha256":"5d90a6fe7d9db2b4eb0585a35561febbff3f114a59154e97192e86dd8fc1005d","schema_version":"1.0","event_id":"sha256:5d90a6fe7d9db2b4eb0585a35561febbff3f114a59154e97192e86dd8fc1005d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:WTN35END2QEL7TMKA6TSDV73TC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large Deviation Theory for Bose Gas of Photons and Planck's Oscillators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"D. P. Shinde","submitted_at":"2025-02-17T09:38:43Z","abstract_excerpt":"We utilize large deviation theorems to analyze the distributions of a Bose gas of photons and Planck's identical linear oscillators. By applying the Boltzmann-Sanov and Cram\\'er-Chernoff theorems, we calculate the large deviation probabilities, entropies, and rate functions for the spatial and energy distributions of both photons and Planck's oscillators. Our study reproduces the results of Bose and Planck within the framework of large deviation theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.11600","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/2502.11600/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:17:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VvNLlUHERRy2GdDl9AlIMH8XpdwsCEyxu73wNXdZKksbAan5xLJDHc24KSqgkIBdFiHhdxqt6yu1GbTn6zZ4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T07:30:39.647682Z"},"content_sha256":"44a59918f4b7c4a21c8e7f7c58d853e73e2720315ce5fbba11085107e47bdb58","schema_version":"1.0","event_id":"sha256:44a59918f4b7c4a21c8e7f7c58d853e73e2720315ce5fbba11085107e47bdb58"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WTN35END2QEL7TMKA6TSDV73TC/bundle.json","state_url":"https://pith.science/pith/WTN35END2QEL7TMKA6TSDV73TC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WTN35END2QEL7TMKA6TSDV73TC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T07:30:39Z","links":{"resolver":"https://pith.science/pith/WTN35END2QEL7TMKA6TSDV73TC","bundle":"https://pith.science/pith/WTN35END2QEL7TMKA6TSDV73TC/bundle.json","state":"https://pith.science/pith/WTN35END2QEL7TMKA6TSDV73TC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WTN35END2QEL7TMKA6TSDV73TC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WTN35END2QEL7TMKA6TSDV73TC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0323188bffe6d0498c9bed1357377fb45d374606dc10c4a945faade97e7eacd4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-17T09:38:43Z","title_canon_sha256":"047497282df2bdaa11564cce4d457c39ed8272c1cd7cef0b93af640f0ca4ef55"},"schema_version":"1.0","source":{"id":"2502.11600","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.11600","created_at":"2026-07-05T10:17:17Z"},{"alias_kind":"arxiv_version","alias_value":"2502.11600v2","created_at":"2026-07-05T10:17:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.11600","created_at":"2026-07-05T10:17:17Z"},{"alias_kind":"pith_short_12","alias_value":"WTN35END2QEL","created_at":"2026-07-05T10:17:17Z"},{"alias_kind":"pith_short_16","alias_value":"WTN35END2QEL7TMK","created_at":"2026-07-05T10:17:17Z"},{"alias_kind":"pith_short_8","alias_value":"WTN35END","created_at":"2026-07-05T10:17:17Z"}],"graph_snapshots":[{"event_id":"sha256:44a59918f4b7c4a21c8e7f7c58d853e73e2720315ce5fbba11085107e47bdb58","target":"graph","created_at":"2026-07-05T10:17:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.11600/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We utilize large deviation theorems to analyze the distributions of a Bose gas of photons and Planck's identical linear oscillators. By applying the Boltzmann-Sanov and Cram\\'er-Chernoff theorems, we calculate the large deviation probabilities, entropies, and rate functions for the spatial and energy distributions of both photons and Planck's oscillators. Our study reproduces the results of Bose and Planck within the framework of large deviation theory.","authors_text":"D. P. Shinde","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-17T09:38:43Z","title":"Large Deviation Theory for Bose Gas of Photons and Planck's Oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.11600","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5d90a6fe7d9db2b4eb0585a35561febbff3f114a59154e97192e86dd8fc1005d","target":"record","created_at":"2026-07-05T10:17:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0323188bffe6d0498c9bed1357377fb45d374606dc10c4a945faade97e7eacd4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-17T09:38:43Z","title_canon_sha256":"047497282df2bdaa11564cce4d457c39ed8272c1cd7cef0b93af640f0ca4ef55"},"schema_version":"1.0","source":{"id":"2502.11600","kind":"arxiv","version":2}},"canonical_sha256":"b4dbbe91a3d408bfcd8a07a721d7fb98b583f60a363e5a559ac68e23db2f7e46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4dbbe91a3d408bfcd8a07a721d7fb98b583f60a363e5a559ac68e23db2f7e46","first_computed_at":"2026-07-05T10:17:17.773776Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:17:17.773776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+XVVHQiNXxPLZPiQ9biDg25r6ZuBBpxGGdenfEKORqqxAY0zQrPpA3r1x8V3Hnt/v5BX37C0CqCZ6y2QN6lsCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:17:17.774331Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.11600","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d90a6fe7d9db2b4eb0585a35561febbff3f114a59154e97192e86dd8fc1005d","sha256:44a59918f4b7c4a21c8e7f7c58d853e73e2720315ce5fbba11085107e47bdb58"],"state_sha256":"019c4e7ddb069bd410521d750276b9ab9a0cbbc0c1b725e162309c9e724f6235"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ipgSm9ecYravEOVdc1QiMOq3yHy8C8sz261PAL2D2oO1nex3FZYBtnyac4P6BYleS30itL/ko4sJZ2VoVpH5AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T07:30:39.652724Z","bundle_sha256":"c077616705ecc361ebbadaad2fd8d06a4ffadb4fa39ea7ce2900eae81466de89"}}