{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:PPE23UAYEEOLAJBADC73RZ676W","short_pith_number":"pith:PPE23UAY","canonical_record":{"source":{"id":"2202.13907","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-02-28T15:59:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c53da7c2462f639d1963ae21d2341a1296efa0a62c86e29b2c2ab921cbab8bc7","abstract_canon_sha256":"1bb4d070628c889b22fefa461c9399f70b20afafe3c8417bdcbac99a6406c3c9"},"schema_version":"1.0"},"canonical_sha256":"7bc9add018211cb0242018bfb8e7dff59edcdba18cd02b79a793e1c63b5443ae","source":{"kind":"arxiv","id":"2202.13907","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.13907","created_at":"2026-07-05T05:07:39Z"},{"alias_kind":"arxiv_version","alias_value":"2202.13907v2","created_at":"2026-07-05T05:07:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.13907","created_at":"2026-07-05T05:07:39Z"},{"alias_kind":"pith_short_12","alias_value":"PPE23UAYEEOL","created_at":"2026-07-05T05:07:39Z"},{"alias_kind":"pith_short_16","alias_value":"PPE23UAYEEOLAJBA","created_at":"2026-07-05T05:07:39Z"},{"alias_kind":"pith_short_8","alias_value":"PPE23UAY","created_at":"2026-07-05T05:07:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:PPE23UAYEEOLAJBADC73RZ676W","target":"record","payload":{"canonical_record":{"source":{"id":"2202.13907","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-02-28T15:59:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c53da7c2462f639d1963ae21d2341a1296efa0a62c86e29b2c2ab921cbab8bc7","abstract_canon_sha256":"1bb4d070628c889b22fefa461c9399f70b20afafe3c8417bdcbac99a6406c3c9"},"schema_version":"1.0"},"canonical_sha256":"7bc9add018211cb0242018bfb8e7dff59edcdba18cd02b79a793e1c63b5443ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:07:39.594915Z","signature_b64":"yZWiLpXPfc/29VqY9l/VgxWcYbtK/TBA64Ypl34YHbmUY6aeO4+UrHUGSZU6uXZ8eRw2nAS/6gg0jhSX8lWxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bc9add018211cb0242018bfb8e7dff59edcdba18cd02b79a793e1c63b5443ae","last_reissued_at":"2026-07-05T05:07:39.594414Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:07:39.594414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.13907","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":"2026-07-05T05:07:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pnn9+alvObdLWpN0uK78HNG5nk5bY/51i362UBsvL9HMmhRUJodyTWZzP6NqG/N5Uzw2Qxr+rpN2J1ldeOccCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:28:03.301800Z"},"content_sha256":"f6264544510024576c4d66d4884a894aa6669ddf15bf920be02444eddadc9165","schema_version":"1.0","event_id":"sha256:f6264544510024576c4d66d4884a894aa6669ddf15bf920be02444eddadc9165"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:PPE23UAYEEOLAJBADC73RZ676W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Particles in Loop Quantum Gravity formalism: a thermodynamical description","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"A. A. Ara\\'ujo Filho","submitted_at":"2022-02-28T15:59:01Z","abstract_excerpt":"In this work, we analyse the thermodynamical behavior of massive and massless particles within Loop Quantum Gravity formalism. We investigate a modified dispersion relation which suffices to derive all our results of interest in an \\textit{analytical} manner. Initially, we study the massive case where, in essence, we examine how the mass modifies the thermodynamical properties of the system. On the other hand, to the massless case, the thermodynamical system turns out to rely only on a specific thermal state quantity, the temperature. More so, the analysis of the spectral radiation, the equati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.13907","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/2202.13907/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":"2026-07-05T05:07:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xOY6tw/M5x4ahJiZQqF5FLH+oqQlEUSt8mPe9KQ6jbf4XElwaKXN/GPI+yLRdiM8fSlo1SqylzCziqEXxUY9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:28:03.303196Z"},"content_sha256":"1e85eae667b3da19e3bb600ba6569af8e1093cdb471c4c6a38e8f350a1ae6a28","schema_version":"1.0","event_id":"sha256:1e85eae667b3da19e3bb600ba6569af8e1093cdb471c4c6a38e8f350a1ae6a28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PPE23UAYEEOLAJBADC73RZ676W/bundle.json","state_url":"https://pith.science/pith/PPE23UAYEEOLAJBADC73RZ676W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PPE23UAYEEOLAJBADC73RZ676W/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":"2026-08-11T21:28:03Z","links":{"resolver":"https://pith.science/pith/PPE23UAYEEOLAJBADC73RZ676W","bundle":"https://pith.science/pith/PPE23UAYEEOLAJBADC73RZ676W/bundle.json","state":"https://pith.science/pith/PPE23UAYEEOLAJBADC73RZ676W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PPE23UAYEEOLAJBADC73RZ676W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:PPE23UAYEEOLAJBADC73RZ676W","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":"1bb4d070628c889b22fefa461c9399f70b20afafe3c8417bdcbac99a6406c3c9","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-02-28T15:59:01Z","title_canon_sha256":"c53da7c2462f639d1963ae21d2341a1296efa0a62c86e29b2c2ab921cbab8bc7"},"schema_version":"1.0","source":{"id":"2202.13907","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.13907","created_at":"2026-07-05T05:07:39Z"},{"alias_kind":"arxiv_version","alias_value":"2202.13907v2","created_at":"2026-07-05T05:07:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.13907","created_at":"2026-07-05T05:07:39Z"},{"alias_kind":"pith_short_12","alias_value":"PPE23UAYEEOL","created_at":"2026-07-05T05:07:39Z"},{"alias_kind":"pith_short_16","alias_value":"PPE23UAYEEOLAJBA","created_at":"2026-07-05T05:07:39Z"},{"alias_kind":"pith_short_8","alias_value":"PPE23UAY","created_at":"2026-07-05T05:07:39Z"}],"graph_snapshots":[{"event_id":"sha256:1e85eae667b3da19e3bb600ba6569af8e1093cdb471c4c6a38e8f350a1ae6a28","target":"graph","created_at":"2026-07-05T05:07:39Z","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/2202.13907/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we analyse the thermodynamical behavior of massive and massless particles within Loop Quantum Gravity formalism. We investigate a modified dispersion relation which suffices to derive all our results of interest in an \\textit{analytical} manner. Initially, we study the massive case where, in essence, we examine how the mass modifies the thermodynamical properties of the system. On the other hand, to the massless case, the thermodynamical system turns out to rely only on a specific thermal state quantity, the temperature. More so, the analysis of the spectral radiation, the equati","authors_text":"A. A. Ara\\'ujo Filho","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-02-28T15:59:01Z","title":"Particles in Loop Quantum Gravity formalism: a thermodynamical description"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.13907","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:f6264544510024576c4d66d4884a894aa6669ddf15bf920be02444eddadc9165","target":"record","created_at":"2026-07-05T05:07:39Z","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":"1bb4d070628c889b22fefa461c9399f70b20afafe3c8417bdcbac99a6406c3c9","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-02-28T15:59:01Z","title_canon_sha256":"c53da7c2462f639d1963ae21d2341a1296efa0a62c86e29b2c2ab921cbab8bc7"},"schema_version":"1.0","source":{"id":"2202.13907","kind":"arxiv","version":2}},"canonical_sha256":"7bc9add018211cb0242018bfb8e7dff59edcdba18cd02b79a793e1c63b5443ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bc9add018211cb0242018bfb8e7dff59edcdba18cd02b79a793e1c63b5443ae","first_computed_at":"2026-07-05T05:07:39.594414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:39.594414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yZWiLpXPfc/29VqY9l/VgxWcYbtK/TBA64Ypl34YHbmUY6aeO4+UrHUGSZU6uXZ8eRw2nAS/6gg0jhSX8lWxBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:39.594915Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.13907","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6264544510024576c4d66d4884a894aa6669ddf15bf920be02444eddadc9165","sha256:1e85eae667b3da19e3bb600ba6569af8e1093cdb471c4c6a38e8f350a1ae6a28"],"state_sha256":"6542af457fc59e7b4ee21c572dcca5741ef53c82ba93cb5c9795420dbc2a46bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SSPdsE22aA/F/XIqtruNDxM0/ihn29D/V2IGWo8nnNfGJnY/36QD3G1/dLc8EjNmU/WawMybGQR0IWogcJzrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:28:03.311174Z","bundle_sha256":"83fd7d6b745b5152f43c579eb672f680112fb31c19a148d2740aed78b41aa715"}}