{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:JKWYROG4GIMDPTSPDQW7V6KJME","short_pith_number":"pith:JKWYROG4","canonical_record":{"source":{"id":"1105.2643","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2011-05-13T08:12:07Z","cross_cats_sorted":["physics.class-ph","physics.pop-ph"],"title_canon_sha256":"c39c7c249c449dd9a722247487a93553009ae2e94108e29beb60892faf91e89d","abstract_canon_sha256":"33a7860a9265534894df8393d6342e4c50d40eccba4a3ed29549c02e5d8615ef"},"schema_version":"1.0"},"canonical_sha256":"4aad88b8dc321837ce4f1c2dfaf9496138a608ed80428bc0167449cdccbcc59d","source":{"kind":"arxiv","id":"1105.2643","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2643","created_at":"2026-05-18T03:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2643v2","created_at":"2026-05-18T03:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2643","created_at":"2026-05-18T03:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"JKWYROG4GIMD","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JKWYROG4GIMDPTSP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JKWYROG4","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:JKWYROG4GIMDPTSPDQW7V6KJME","target":"record","payload":{"canonical_record":{"source":{"id":"1105.2643","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2011-05-13T08:12:07Z","cross_cats_sorted":["physics.class-ph","physics.pop-ph"],"title_canon_sha256":"c39c7c249c449dd9a722247487a93553009ae2e94108e29beb60892faf91e89d","abstract_canon_sha256":"33a7860a9265534894df8393d6342e4c50d40eccba4a3ed29549c02e5d8615ef"},"schema_version":"1.0"},"canonical_sha256":"4aad88b8dc321837ce4f1c2dfaf9496138a608ed80428bc0167449cdccbcc59d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:45.221008Z","signature_b64":"2hJjLv0LQ8i+/6yTVWfpKtjNu3rKgDMlX64wqysu/ZU67CKernW/wfUmLoLVCxNU05u5K0tskPt2jj1M1lX/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4aad88b8dc321837ce4f1c2dfaf9496138a608ed80428bc0167449cdccbcc59d","last_reissued_at":"2026-05-18T03:31:45.220128Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:45.220128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.2643","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":"2026-05-18T03:31:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k8cjIJhkkMX3zuvl2D5hWoaI+76IpB9scaCvttvSstpBY9UXXI6W9J2+OVGJEAWmx8PA6pDB42ieqVSO5BkYAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:54:20.747885Z"},"content_sha256":"de926ccb7e8a1eb0dc9da282f810e2c3a5739c3883a35efea606e91b624f4e7e","schema_version":"1.0","event_id":"sha256:de926ccb7e8a1eb0dc9da282f810e2c3a5739c3883a35efea606e91b624f4e7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:JKWYROG4GIMDPTSPDQW7V6KJME","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the ideal gas law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph","physics.pop-ph"],"primary_cat":"physics.hist-ph","authors_text":"Fabrice Philippe (LIRMM), Jacques Arnaud (IES), Laurent Chusseau (IES)","submitted_at":"2011-05-13T08:12:07Z","abstract_excerpt":"The air density on earth decays as a function of altitude $z$ approximately according to an $\\exp(-w\\,z/\\theta)$-law, where $w$ denotes the weight of a nitrogen molecule and $\\theta=\\kB T$ where $k_B$ is a constant and $T$ the thermodynamic temperature. To derive this law one usually invokes the Boltzmann factor, itself derived from statistical considerations. We show that this (barometric) law may be derived solely from the democritian concept of corpuscles moving in vacuum. We employ a principle of simplicity, namely that this law is \\emph{independent} of the law of corpuscle motion. This vi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2643","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":""},"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":"2026-05-18T03:31:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GlIb19kgGeVc0YuqSf2zLkLv6UUVxtrqcAtSJ79khPXGYeA6NsRiy2eEDnFZqC0gR6JLjnzbjNgx0XIC4nFyDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:54:20.748547Z"},"content_sha256":"bcbee0bd3d3fc493e7ec3940b1a0d3d7d9a3a85cb8f9e7c656b3340acf84e25b","schema_version":"1.0","event_id":"sha256:bcbee0bd3d3fc493e7ec3940b1a0d3d7d9a3a85cb8f9e7c656b3340acf84e25b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JKWYROG4GIMDPTSPDQW7V6KJME/bundle.json","state_url":"https://pith.science/pith/JKWYROG4GIMDPTSPDQW7V6KJME/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JKWYROG4GIMDPTSPDQW7V6KJME/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":"2026-05-26T18:54:20Z","links":{"resolver":"https://pith.science/pith/JKWYROG4GIMDPTSPDQW7V6KJME","bundle":"https://pith.science/pith/JKWYROG4GIMDPTSPDQW7V6KJME/bundle.json","state":"https://pith.science/pith/JKWYROG4GIMDPTSPDQW7V6KJME/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JKWYROG4GIMDPTSPDQW7V6KJME/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JKWYROG4GIMDPTSPDQW7V6KJME","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":"33a7860a9265534894df8393d6342e4c50d40eccba4a3ed29549c02e5d8615ef","cross_cats_sorted":["physics.class-ph","physics.pop-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2011-05-13T08:12:07Z","title_canon_sha256":"c39c7c249c449dd9a722247487a93553009ae2e94108e29beb60892faf91e89d"},"schema_version":"1.0","source":{"id":"1105.2643","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2643","created_at":"2026-05-18T03:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2643v2","created_at":"2026-05-18T03:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2643","created_at":"2026-05-18T03:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"JKWYROG4GIMD","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JKWYROG4GIMDPTSP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JKWYROG4","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:bcbee0bd3d3fc493e7ec3940b1a0d3d7d9a3a85cb8f9e7c656b3340acf84e25b","target":"graph","created_at":"2026-05-18T03:31:45Z","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"},"paper":{"abstract_excerpt":"The air density on earth decays as a function of altitude $z$ approximately according to an $\\exp(-w\\,z/\\theta)$-law, where $w$ denotes the weight of a nitrogen molecule and $\\theta=\\kB T$ where $k_B$ is a constant and $T$ the thermodynamic temperature. To derive this law one usually invokes the Boltzmann factor, itself derived from statistical considerations. We show that this (barometric) law may be derived solely from the democritian concept of corpuscles moving in vacuum. We employ a principle of simplicity, namely that this law is \\emph{independent} of the law of corpuscle motion. This vi","authors_text":"Fabrice Philippe (LIRMM), Jacques Arnaud (IES), Laurent Chusseau (IES)","cross_cats":["physics.class-ph","physics.pop-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2011-05-13T08:12:07Z","title":"On the ideal gas law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2643","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:de926ccb7e8a1eb0dc9da282f810e2c3a5739c3883a35efea606e91b624f4e7e","target":"record","created_at":"2026-05-18T03:31:45Z","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":"33a7860a9265534894df8393d6342e4c50d40eccba4a3ed29549c02e5d8615ef","cross_cats_sorted":["physics.class-ph","physics.pop-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2011-05-13T08:12:07Z","title_canon_sha256":"c39c7c249c449dd9a722247487a93553009ae2e94108e29beb60892faf91e89d"},"schema_version":"1.0","source":{"id":"1105.2643","kind":"arxiv","version":2}},"canonical_sha256":"4aad88b8dc321837ce4f1c2dfaf9496138a608ed80428bc0167449cdccbcc59d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4aad88b8dc321837ce4f1c2dfaf9496138a608ed80428bc0167449cdccbcc59d","first_computed_at":"2026-05-18T03:31:45.220128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:45.220128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2hJjLv0LQ8i+/6yTVWfpKtjNu3rKgDMlX64wqysu/ZU67CKernW/wfUmLoLVCxNU05u5K0tskPt2jj1M1lX/AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:45.221008Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2643","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de926ccb7e8a1eb0dc9da282f810e2c3a5739c3883a35efea606e91b624f4e7e","sha256:bcbee0bd3d3fc493e7ec3940b1a0d3d7d9a3a85cb8f9e7c656b3340acf84e25b"],"state_sha256":"34cc9036e1be19b5822063ec1b662dc0cc909e3bf0b8dcc2517a1f32b282315f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+3xgWpwh8Cgzi+GH+U1ji1BGi/bUJWGwE+wgR8XbIMcYAH5tizQ7tL5nYfaAnrXzDPR3XbIkPyCQlPmrfTzgBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:54:20.751808Z","bundle_sha256":"7d6c9c71a1314a0bd72c8c3b6d68c048a7ad40eb311d8a009e9c4040d12a77dd"}}