{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:OTH4RUB6YFLTNO2W3JZGQH7OVJ","short_pith_number":"pith:OTH4RUB6","canonical_record":{"source":{"id":"0808.2243","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-18T08:03:43Z","cross_cats_sorted":[],"title_canon_sha256":"cee9fc110e8fe2e4ce9306461d1893747d8280ca00b5997ad2d21855a38bc96d","abstract_canon_sha256":"4914dd586691222553a0e2095c8f038cdd878cb704450cc50bd41cbcf001b3b2"},"schema_version":"1.0"},"canonical_sha256":"74cfc8d03ec15736bb56da72681feeaa7b12d09ddb19e969f713626b335602c7","source":{"kind":"arxiv","id":"0808.2243","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.2243","created_at":"2026-05-18T04:19:52Z"},{"alias_kind":"arxiv_version","alias_value":"0808.2243v2","created_at":"2026-05-18T04:19:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.2243","created_at":"2026-05-18T04:19:52Z"},{"alias_kind":"pith_short_12","alias_value":"OTH4RUB6YFLT","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"OTH4RUB6YFLTNO2W","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"OTH4RUB6","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:OTH4RUB6YFLTNO2W3JZGQH7OVJ","target":"record","payload":{"canonical_record":{"source":{"id":"0808.2243","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-18T08:03:43Z","cross_cats_sorted":[],"title_canon_sha256":"cee9fc110e8fe2e4ce9306461d1893747d8280ca00b5997ad2d21855a38bc96d","abstract_canon_sha256":"4914dd586691222553a0e2095c8f038cdd878cb704450cc50bd41cbcf001b3b2"},"schema_version":"1.0"},"canonical_sha256":"74cfc8d03ec15736bb56da72681feeaa7b12d09ddb19e969f713626b335602c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:52.316029Z","signature_b64":"RgLMmlFr5UUccmhAifjyaF3QARH5VxXVZXRNThhsVj1QwHP7ptp25JcB0e1Gg8a9dX/nBtaDM86V2b4gBJo4CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74cfc8d03ec15736bb56da72681feeaa7b12d09ddb19e969f713626b335602c7","last_reissued_at":"2026-05-18T04:19:52.315362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:52.315362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0808.2243","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":"2026-05-18T04:19:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hS93I6PWEc1fNvcI7/fP9v+nhxODO9mvEbGM93uUyBLkjes8yNep0lB8aiNS5V4nsDEDWQS6x8KMmL3VZaNxDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:48:32.829684Z"},"content_sha256":"fd4c4371d23ba5d6f6fe9fcf95093a24c474b3d5ec754550da2d22a51603a4c6","schema_version":"1.0","event_id":"sha256:fd4c4371d23ba5d6f6fe9fcf95093a24c474b3d5ec754550da2d22a51603a4c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:OTH4RUB6YFLTNO2W3JZGQH7OVJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on the Chevalley-Eilenberg Cohomology for the Galilei and Poincare Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Joaquim Gomis, Sotirios Bonanos","submitted_at":"2008-08-18T08:03:43Z","abstract_excerpt":"We construct in a systematic way the complete Chevalley-Eilenberg cohomology at form degree two, three and four for the Galilei and Poincare groups. The corresponding non-trivial forms belong to certain representations of the spatial rotation (Lorentz) group. In the case of two forms they give all possible central and non-central extensions of the Galilei group (and all non-central extensions of the Poincare group). The procedure developed in this paper can be applied to any space-time symmetry group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.2243","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":"2026-05-18T04:19:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IC5I0RhxbWOL0ZBf1sqIiUQ1UE9DFmXPJxFqzxRtCGbh78JkmkNQOCdDTsV5UPohAJuzJyurJv5TGqwTXvd9Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:48:32.830394Z"},"content_sha256":"aa6275aadfc65cd33ce424fb7a2d5e234007441a2aabd35dae79fe79ef5edc54","schema_version":"1.0","event_id":"sha256:aa6275aadfc65cd33ce424fb7a2d5e234007441a2aabd35dae79fe79ef5edc54"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OTH4RUB6YFLTNO2W3JZGQH7OVJ/bundle.json","state_url":"https://pith.science/pith/OTH4RUB6YFLTNO2W3JZGQH7OVJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OTH4RUB6YFLTNO2W3JZGQH7OVJ/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":"2026-06-08T16:48:32Z","links":{"resolver":"https://pith.science/pith/OTH4RUB6YFLTNO2W3JZGQH7OVJ","bundle":"https://pith.science/pith/OTH4RUB6YFLTNO2W3JZGQH7OVJ/bundle.json","state":"https://pith.science/pith/OTH4RUB6YFLTNO2W3JZGQH7OVJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OTH4RUB6YFLTNO2W3JZGQH7OVJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:OTH4RUB6YFLTNO2W3JZGQH7OVJ","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":"4914dd586691222553a0e2095c8f038cdd878cb704450cc50bd41cbcf001b3b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-18T08:03:43Z","title_canon_sha256":"cee9fc110e8fe2e4ce9306461d1893747d8280ca00b5997ad2d21855a38bc96d"},"schema_version":"1.0","source":{"id":"0808.2243","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.2243","created_at":"2026-05-18T04:19:52Z"},{"alias_kind":"arxiv_version","alias_value":"0808.2243v2","created_at":"2026-05-18T04:19:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.2243","created_at":"2026-05-18T04:19:52Z"},{"alias_kind":"pith_short_12","alias_value":"OTH4RUB6YFLT","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"OTH4RUB6YFLTNO2W","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"OTH4RUB6","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:aa6275aadfc65cd33ce424fb7a2d5e234007441a2aabd35dae79fe79ef5edc54","target":"graph","created_at":"2026-05-18T04:19:52Z","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":"We construct in a systematic way the complete Chevalley-Eilenberg cohomology at form degree two, three and four for the Galilei and Poincare groups. The corresponding non-trivial forms belong to certain representations of the spatial rotation (Lorentz) group. In the case of two forms they give all possible central and non-central extensions of the Galilei group (and all non-central extensions of the Poincare group). The procedure developed in this paper can be applied to any space-time symmetry group.","authors_text":"Joaquim Gomis, Sotirios Bonanos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-18T08:03:43Z","title":"A note on the Chevalley-Eilenberg Cohomology for the Galilei and Poincare Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.2243","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:fd4c4371d23ba5d6f6fe9fcf95093a24c474b3d5ec754550da2d22a51603a4c6","target":"record","created_at":"2026-05-18T04:19:52Z","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":"4914dd586691222553a0e2095c8f038cdd878cb704450cc50bd41cbcf001b3b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-18T08:03:43Z","title_canon_sha256":"cee9fc110e8fe2e4ce9306461d1893747d8280ca00b5997ad2d21855a38bc96d"},"schema_version":"1.0","source":{"id":"0808.2243","kind":"arxiv","version":2}},"canonical_sha256":"74cfc8d03ec15736bb56da72681feeaa7b12d09ddb19e969f713626b335602c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74cfc8d03ec15736bb56da72681feeaa7b12d09ddb19e969f713626b335602c7","first_computed_at":"2026-05-18T04:19:52.315362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:52.315362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RgLMmlFr5UUccmhAifjyaF3QARH5VxXVZXRNThhsVj1QwHP7ptp25JcB0e1Gg8a9dX/nBtaDM86V2b4gBJo4CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:52.316029Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.2243","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd4c4371d23ba5d6f6fe9fcf95093a24c474b3d5ec754550da2d22a51603a4c6","sha256:aa6275aadfc65cd33ce424fb7a2d5e234007441a2aabd35dae79fe79ef5edc54"],"state_sha256":"5668883dce4a6f4d70d6e36299eb67787bba86cfae0629f7150e33a050183742"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h57yQ+b7Efe6jDGUyN+yKFynKB67nFQynGl/hZByRwpAgyulnu5z6xPuUyMyMNQigY1/lf8DBLmpQ4IvDUI4BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T16:48:32.834695Z","bundle_sha256":"9abcd2cd02b36c6628e03276811fd72e4ec4c9dee5422fbd3b591c43666d3dd9"}}