{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AJFPKKEVK722JY6QHDAHM5UY5M","short_pith_number":"pith:AJFPKKEV","canonical_record":{"source":{"id":"1310.8128","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-29T11:01:35Z","cross_cats_sorted":[],"title_canon_sha256":"495bcc875e71589ca75ce109cf6683511d53eb939e722a05b3e1ff58237b7b98","abstract_canon_sha256":"876b7d952fc1b98a7b0de0ca1b216c53efb26153de6cbd0b34ac0e3996140f9b"},"schema_version":"1.0"},"canonical_sha256":"024af5289557f5a4e3d038c0767698eb1042850f28fa6b4f271fdb3b11e101c7","source":{"kind":"arxiv","id":"1310.8128","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8128","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8128v1","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8128","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"pith_short_12","alias_value":"AJFPKKEVK722","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AJFPKKEVK722JY6Q","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AJFPKKEV","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AJFPKKEVK722JY6QHDAHM5UY5M","target":"record","payload":{"canonical_record":{"source":{"id":"1310.8128","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-29T11:01:35Z","cross_cats_sorted":[],"title_canon_sha256":"495bcc875e71589ca75ce109cf6683511d53eb939e722a05b3e1ff58237b7b98","abstract_canon_sha256":"876b7d952fc1b98a7b0de0ca1b216c53efb26153de6cbd0b34ac0e3996140f9b"},"schema_version":"1.0"},"canonical_sha256":"024af5289557f5a4e3d038c0767698eb1042850f28fa6b4f271fdb3b11e101c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:55.125952Z","signature_b64":"GU+PsD/OQ2IVdu5cOPBMuwjDSnMQRm1ZWD8lUUaD/BbAZwFWeVi/dFdOmoinbInZLe0NXLf1uPVxQHEgUe8DAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"024af5289557f5a4e3d038c0767698eb1042850f28fa6b4f271fdb3b11e101c7","last_reissued_at":"2026-05-18T02:30:55.125432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:55.125432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.8128","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:30:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vhSLdQVqhVkgc3Etn9Nq3PZhWtxQ/XAqNe9+NKke3rhmLGJNFgTH5k1KZ9kDKIttu89dDeoK5g5gK+Y/ZEDcCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T23:42:13.066902Z"},"content_sha256":"2a846457470f6dcbf61d95d0f626499450273e569ef156b95618be850363c90b","schema_version":"1.0","event_id":"sha256:2a846457470f6dcbf61d95d0f626499450273e569ef156b95618be850363c90b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AJFPKKEVK722JY6QHDAHM5UY5M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On reference frames and the definition of space in a general spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Mayeul Arminjon","submitted_at":"2013-10-29T11:01:35Z","abstract_excerpt":"First, we review local concepts defined previously. A (local) reference frame $\\mathrm{F}$ can be defined as an equivalence class of admissible spacetime charts (coordinate systems) having a common domain $\\mathrm{U}$ and exchanging by a spatial coordinate change. The associated (local) physical space is made of the world lines having constant space coordinates in any chart of the class. Second, we introduce new, global concepts. The data of a non-vanishing global vector field $\\,v\\,$ defines a global \"reference fluid\". The associated global physical space is made of the maximal integral curve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8128","kind":"arxiv","version":1},"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":"2026-05-18T02:30:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gISDEwbgzkJ/pLcgDC/9uUuzrgxJ0ZUyRqQ4hFNLx6yHiKXiQmhb6FVAod0qYTV35BAhy/PGS5ymgesJtJOKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T23:42:13.069464Z"},"content_sha256":"84c461c64adfdafde0d2bc7612b35410ba53c2405698018147978e8648caa9ca","schema_version":"1.0","event_id":"sha256:84c461c64adfdafde0d2bc7612b35410ba53c2405698018147978e8648caa9ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AJFPKKEVK722JY6QHDAHM5UY5M/bundle.json","state_url":"https://pith.science/pith/AJFPKKEVK722JY6QHDAHM5UY5M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AJFPKKEVK722JY6QHDAHM5UY5M/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":"2026-06-10T23:42:13Z","links":{"resolver":"https://pith.science/pith/AJFPKKEVK722JY6QHDAHM5UY5M","bundle":"https://pith.science/pith/AJFPKKEVK722JY6QHDAHM5UY5M/bundle.json","state":"https://pith.science/pith/AJFPKKEVK722JY6QHDAHM5UY5M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AJFPKKEVK722JY6QHDAHM5UY5M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AJFPKKEVK722JY6QHDAHM5UY5M","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":"876b7d952fc1b98a7b0de0ca1b216c53efb26153de6cbd0b34ac0e3996140f9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-29T11:01:35Z","title_canon_sha256":"495bcc875e71589ca75ce109cf6683511d53eb939e722a05b3e1ff58237b7b98"},"schema_version":"1.0","source":{"id":"1310.8128","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8128","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8128v1","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8128","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"pith_short_12","alias_value":"AJFPKKEVK722","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AJFPKKEVK722JY6Q","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AJFPKKEV","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:84c461c64adfdafde0d2bc7612b35410ba53c2405698018147978e8648caa9ca","target":"graph","created_at":"2026-05-18T02:30:55Z","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":"First, we review local concepts defined previously. A (local) reference frame $\\mathrm{F}$ can be defined as an equivalence class of admissible spacetime charts (coordinate systems) having a common domain $\\mathrm{U}$ and exchanging by a spatial coordinate change. The associated (local) physical space is made of the world lines having constant space coordinates in any chart of the class. Second, we introduce new, global concepts. The data of a non-vanishing global vector field $\\,v\\,$ defines a global \"reference fluid\". The associated global physical space is made of the maximal integral curve","authors_text":"Mayeul Arminjon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-29T11:01:35Z","title":"On reference frames and the definition of space in a general spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8128","kind":"arxiv","version":1},"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":"sha256:2a846457470f6dcbf61d95d0f626499450273e569ef156b95618be850363c90b","target":"record","created_at":"2026-05-18T02:30:55Z","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":"876b7d952fc1b98a7b0de0ca1b216c53efb26153de6cbd0b34ac0e3996140f9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-29T11:01:35Z","title_canon_sha256":"495bcc875e71589ca75ce109cf6683511d53eb939e722a05b3e1ff58237b7b98"},"schema_version":"1.0","source":{"id":"1310.8128","kind":"arxiv","version":1}},"canonical_sha256":"024af5289557f5a4e3d038c0767698eb1042850f28fa6b4f271fdb3b11e101c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"024af5289557f5a4e3d038c0767698eb1042850f28fa6b4f271fdb3b11e101c7","first_computed_at":"2026-05-18T02:30:55.125432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:55.125432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GU+PsD/OQ2IVdu5cOPBMuwjDSnMQRm1ZWD8lUUaD/BbAZwFWeVi/dFdOmoinbInZLe0NXLf1uPVxQHEgUe8DAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:55.125952Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.8128","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a846457470f6dcbf61d95d0f626499450273e569ef156b95618be850363c90b","sha256:84c461c64adfdafde0d2bc7612b35410ba53c2405698018147978e8648caa9ca"],"state_sha256":"3172fd0728ed2ff0fde6d0839665a33af6c795bc6f7a9699c79772f60ae8b8fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jfg48enYh4wvvpqoulqBBuXKQpOGOsD5PR3P8TAZ5DiHZdPc0W1/pFheO0TFZ6DnKdQG+ZXNQGCu9LB8OM+iAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T23:42:13.073732Z","bundle_sha256":"b842d5a79127de907c063d72f20949a9f6a08a39120df97e7fb8e134c6f5e023"}}