{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:AZNO47LHMP242V27D54SRPDB6E","short_pith_number":"pith:AZNO47LH","canonical_record":{"source":{"id":"2001.10947","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-01-29T16:38:45Z","cross_cats_sorted":[],"title_canon_sha256":"2310a088e24eb81b45894d067489a1f9f8577ab70e742602935d8384ead5da37","abstract_canon_sha256":"d9faf7dcb1adcafa5930b89c3365048e1ea74065a596986dd31eb714cca5a131"},"schema_version":"1.0"},"canonical_sha256":"065aee7d6763f5cd575f1f7928bc61f13c0d50c1d6ef45b77cec3ad1d07c3c80","source":{"kind":"arxiv","id":"2001.10947","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.10947","created_at":"2026-07-05T02:29:25Z"},{"alias_kind":"arxiv_version","alias_value":"2001.10947v3","created_at":"2026-07-05T02:29:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.10947","created_at":"2026-07-05T02:29:25Z"},{"alias_kind":"pith_short_12","alias_value":"AZNO47LHMP24","created_at":"2026-07-05T02:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"AZNO47LHMP242V27","created_at":"2026-07-05T02:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"AZNO47LH","created_at":"2026-07-05T02:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:AZNO47LHMP242V27D54SRPDB6E","target":"record","payload":{"canonical_record":{"source":{"id":"2001.10947","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-01-29T16:38:45Z","cross_cats_sorted":[],"title_canon_sha256":"2310a088e24eb81b45894d067489a1f9f8577ab70e742602935d8384ead5da37","abstract_canon_sha256":"d9faf7dcb1adcafa5930b89c3365048e1ea74065a596986dd31eb714cca5a131"},"schema_version":"1.0"},"canonical_sha256":"065aee7d6763f5cd575f1f7928bc61f13c0d50c1d6ef45b77cec3ad1d07c3c80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:29:25.700272Z","signature_b64":"D2xrltdndf27nNf88cT8u7nO+ZeB/gfLSLJG7HCvZvxL+F9z7x17GK+QUmGsINpP/9XvfGfCW9/kFhA5VnlFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"065aee7d6763f5cd575f1f7928bc61f13c0d50c1d6ef45b77cec3ad1d07c3c80","last_reissued_at":"2026-07-05T02:29:25.699797Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:29:25.699797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2001.10947","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:29:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"og5UH6uDejhFl1lNcfPC6rrXi/tUKWXhxyQEmSCpUdCgxgwWVQDrap+rmbTLfPAvAjWxqfVCuZrOhjto0RT0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T13:29:13.846428Z"},"content_sha256":"d79cbde2e1f5fbc0a1d6802eeeba16cae9da1fc075112867119a120a67e35fd9","schema_version":"1.0","event_id":"sha256:d79cbde2e1f5fbc0a1d6802eeeba16cae9da1fc075112867119a120a67e35fd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:AZNO47LHMP242V27D54SRPDB6E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge generator for bi-gravity and multi-gravity models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ahmad Shirzad, Ali Dokhani, Zahra Molaee","submitted_at":"2020-01-29T16:38:45Z","abstract_excerpt":"Following the Hamiltonian structure of bi-gravity and multi-gravity models in the full phase space, we have constructed the generating functional of diffeomorphism gauge symmetry. As is expected, this generator is constructed from the first class constraints of the system. We show that this gauge generator works well in giving the gauge transformations of the canonical variables."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.10947","kind":"arxiv","version":3},"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/2001.10947/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":"2026-07-05T02:29:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iULVECsGdQ5laFgoDYv3hAtgOmWV5PHC8uLIrh6zc4kG9cCVCZpHg8iP9oa6bbYChKEP0TWjDCKs07jGl9ARAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T13:29:13.847813Z"},"content_sha256":"93b1d2f3820e64ab52cfcadb73b05b215dd6b637c66c7a72c99e8400f2aa50e9","schema_version":"1.0","event_id":"sha256:93b1d2f3820e64ab52cfcadb73b05b215dd6b637c66c7a72c99e8400f2aa50e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AZNO47LHMP242V27D54SRPDB6E/bundle.json","state_url":"https://pith.science/pith/AZNO47LHMP242V27D54SRPDB6E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AZNO47LHMP242V27D54SRPDB6E/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":"2026-08-11T13:29:13Z","links":{"resolver":"https://pith.science/pith/AZNO47LHMP242V27D54SRPDB6E","bundle":"https://pith.science/pith/AZNO47LHMP242V27D54SRPDB6E/bundle.json","state":"https://pith.science/pith/AZNO47LHMP242V27D54SRPDB6E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AZNO47LHMP242V27D54SRPDB6E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:AZNO47LHMP242V27D54SRPDB6E","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":"d9faf7dcb1adcafa5930b89c3365048e1ea74065a596986dd31eb714cca5a131","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-01-29T16:38:45Z","title_canon_sha256":"2310a088e24eb81b45894d067489a1f9f8577ab70e742602935d8384ead5da37"},"schema_version":"1.0","source":{"id":"2001.10947","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.10947","created_at":"2026-07-05T02:29:25Z"},{"alias_kind":"arxiv_version","alias_value":"2001.10947v3","created_at":"2026-07-05T02:29:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.10947","created_at":"2026-07-05T02:29:25Z"},{"alias_kind":"pith_short_12","alias_value":"AZNO47LHMP24","created_at":"2026-07-05T02:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"AZNO47LHMP242V27","created_at":"2026-07-05T02:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"AZNO47LH","created_at":"2026-07-05T02:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:93b1d2f3820e64ab52cfcadb73b05b215dd6b637c66c7a72c99e8400f2aa50e9","target":"graph","created_at":"2026-07-05T02:29:25Z","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/2001.10947/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Following the Hamiltonian structure of bi-gravity and multi-gravity models in the full phase space, we have constructed the generating functional of diffeomorphism gauge symmetry. As is expected, this generator is constructed from the first class constraints of the system. We show that this gauge generator works well in giving the gauge transformations of the canonical variables.","authors_text":"Ahmad Shirzad, Ali Dokhani, Zahra Molaee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-01-29T16:38:45Z","title":"Gauge generator for bi-gravity and multi-gravity models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.10947","kind":"arxiv","version":3},"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:d79cbde2e1f5fbc0a1d6802eeeba16cae9da1fc075112867119a120a67e35fd9","target":"record","created_at":"2026-07-05T02:29:25Z","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":"d9faf7dcb1adcafa5930b89c3365048e1ea74065a596986dd31eb714cca5a131","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-01-29T16:38:45Z","title_canon_sha256":"2310a088e24eb81b45894d067489a1f9f8577ab70e742602935d8384ead5da37"},"schema_version":"1.0","source":{"id":"2001.10947","kind":"arxiv","version":3}},"canonical_sha256":"065aee7d6763f5cd575f1f7928bc61f13c0d50c1d6ef45b77cec3ad1d07c3c80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"065aee7d6763f5cd575f1f7928bc61f13c0d50c1d6ef45b77cec3ad1d07c3c80","first_computed_at":"2026-07-05T02:29:25.699797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:29:25.699797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D2xrltdndf27nNf88cT8u7nO+ZeB/gfLSLJG7HCvZvxL+F9z7x17GK+QUmGsINpP/9XvfGfCW9/kFhA5VnlFCA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:29:25.700272Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.10947","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d79cbde2e1f5fbc0a1d6802eeeba16cae9da1fc075112867119a120a67e35fd9","sha256:93b1d2f3820e64ab52cfcadb73b05b215dd6b637c66c7a72c99e8400f2aa50e9"],"state_sha256":"7892d0dddf57f1740ecc5f9266c43b68c69d0bbe69195d0f572bd1f4dab41d72"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I30Ay7imbcuCB0gbs9ixwU1hhd/JedQCYSGDaQY6ZSXIZhaFaz0lt53vIH8H8nJGQMFzrXHiTkEFrSh+1JGFCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T13:29:13.854685Z","bundle_sha256":"931a6b309a0983e999206674901a1b1d09f80967176a10fa753765692a93d3b9"}}