{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BN55I4TMSPKIKSFZALCMWXGS7X","short_pith_number":"pith:BN55I4TM","canonical_record":{"source":{"id":"1308.2946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-13T19:12:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d02071dace2fa3409987e9deecfd5953cbb39ee2d0f487daaf6e9f0aeaea4b3e","abstract_canon_sha256":"788ddd993c3bb7267410aef32e3efc46fc817a0650650c7339654f8b778c77ec"},"schema_version":"1.0"},"canonical_sha256":"0b7bd4726c93d48548b902c4cb5cd2fdc612a61a7c36e7c468005ee4653a1e55","source":{"kind":"arxiv","id":"1308.2946","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2946","created_at":"2026-05-18T01:48:15Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2946v1","created_at":"2026-05-18T01:48:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2946","created_at":"2026-05-18T01:48:15Z"},{"alias_kind":"pith_short_12","alias_value":"BN55I4TMSPKI","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BN55I4TMSPKIKSFZ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BN55I4TM","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BN55I4TMSPKIKSFZALCMWXGS7X","target":"record","payload":{"canonical_record":{"source":{"id":"1308.2946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-13T19:12:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d02071dace2fa3409987e9deecfd5953cbb39ee2d0f487daaf6e9f0aeaea4b3e","abstract_canon_sha256":"788ddd993c3bb7267410aef32e3efc46fc817a0650650c7339654f8b778c77ec"},"schema_version":"1.0"},"canonical_sha256":"0b7bd4726c93d48548b902c4cb5cd2fdc612a61a7c36e7c468005ee4653a1e55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:15.789990Z","signature_b64":"a+YYp+Z+eMmSSjEYbH9PEH+oDyCCvhMZemtPm7A7+QjX1wFK9oA8RgyGTfmW1FmOcDUbHsTYX5apdBBXDElECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b7bd4726c93d48548b902c4cb5cd2fdc612a61a7c36e7c468005ee4653a1e55","last_reissued_at":"2026-05-18T01:48:15.789551Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:15.789551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.2946","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":"2026-05-18T01:48:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d+ICsymdUpmQNV+630MJApPD+hDA7Iv587ZJ2aQeOBgMVEtPg3WWU+U+W6cTcsPDWuHXy7ULEH1ZYpa8zbPEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:10:35.849765Z"},"content_sha256":"86669acd74292fb4ad96093d288ae557fdb69393163211a673b0f800fea64f3e","schema_version":"1.0","event_id":"sha256:86669acd74292fb4ad96093d288ae557fdb69393163211a673b0f800fea64f3e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BN55I4TMSPKIKSFZALCMWXGS7X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Purely geometric path integral for spin foams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Atousa Chaharsough Shirazi, Jonathan Engle","submitted_at":"2013-08-13T19:12:41Z","abstract_excerpt":"Spin-foams are a proposal for defining the dynamics of loop quantum gravity via path integral. In order for a path integral to be at least formally equivalent to the corresponding canonical quantization, at each point in the space of histories it is important that the integrand have not only the correct phase -- a topic of recent focus in spin-foams -- but also the correct modulus, usually referred to as the measure factor. The correct measure factor descends from the Liouville measure on the reduced phase space, and its calculation is a task of canonical analysis.\n  The covariant formulation "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2946","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":"2026-05-18T01:48:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9TPbJgON98zPELgrMYgJP9WgrRJcbaz9sAV40qBfsFPmxgTwKbPj9xOibn6B0lp25fIvTnheGlPdd/AwgteaBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:10:35.850479Z"},"content_sha256":"5960d37b3fed07b4b07bab9a92f84c0390d9abfb4ea84898cb58be3fe8867806","schema_version":"1.0","event_id":"sha256:5960d37b3fed07b4b07bab9a92f84c0390d9abfb4ea84898cb58be3fe8867806"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BN55I4TMSPKIKSFZALCMWXGS7X/bundle.json","state_url":"https://pith.science/pith/BN55I4TMSPKIKSFZALCMWXGS7X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BN55I4TMSPKIKSFZALCMWXGS7X/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":"2026-05-26T14:10:35Z","links":{"resolver":"https://pith.science/pith/BN55I4TMSPKIKSFZALCMWXGS7X","bundle":"https://pith.science/pith/BN55I4TMSPKIKSFZALCMWXGS7X/bundle.json","state":"https://pith.science/pith/BN55I4TMSPKIKSFZALCMWXGS7X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BN55I4TMSPKIKSFZALCMWXGS7X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BN55I4TMSPKIKSFZALCMWXGS7X","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":"788ddd993c3bb7267410aef32e3efc46fc817a0650650c7339654f8b778c77ec","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-13T19:12:41Z","title_canon_sha256":"d02071dace2fa3409987e9deecfd5953cbb39ee2d0f487daaf6e9f0aeaea4b3e"},"schema_version":"1.0","source":{"id":"1308.2946","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2946","created_at":"2026-05-18T01:48:15Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2946v1","created_at":"2026-05-18T01:48:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2946","created_at":"2026-05-18T01:48:15Z"},{"alias_kind":"pith_short_12","alias_value":"BN55I4TMSPKI","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BN55I4TMSPKIKSFZ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BN55I4TM","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:5960d37b3fed07b4b07bab9a92f84c0390d9abfb4ea84898cb58be3fe8867806","target":"graph","created_at":"2026-05-18T01:48:15Z","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":"Spin-foams are a proposal for defining the dynamics of loop quantum gravity via path integral. In order for a path integral to be at least formally equivalent to the corresponding canonical quantization, at each point in the space of histories it is important that the integrand have not only the correct phase -- a topic of recent focus in spin-foams -- but also the correct modulus, usually referred to as the measure factor. The correct measure factor descends from the Liouville measure on the reduced phase space, and its calculation is a task of canonical analysis.\n  The covariant formulation ","authors_text":"Atousa Chaharsough Shirazi, Jonathan Engle","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-13T19:12:41Z","title":"Purely geometric path integral for spin foams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2946","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":"sha256:86669acd74292fb4ad96093d288ae557fdb69393163211a673b0f800fea64f3e","target":"record","created_at":"2026-05-18T01:48:15Z","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":"788ddd993c3bb7267410aef32e3efc46fc817a0650650c7339654f8b778c77ec","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-13T19:12:41Z","title_canon_sha256":"d02071dace2fa3409987e9deecfd5953cbb39ee2d0f487daaf6e9f0aeaea4b3e"},"schema_version":"1.0","source":{"id":"1308.2946","kind":"arxiv","version":1}},"canonical_sha256":"0b7bd4726c93d48548b902c4cb5cd2fdc612a61a7c36e7c468005ee4653a1e55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b7bd4726c93d48548b902c4cb5cd2fdc612a61a7c36e7c468005ee4653a1e55","first_computed_at":"2026-05-18T01:48:15.789551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:15.789551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a+YYp+Z+eMmSSjEYbH9PEH+oDyCCvhMZemtPm7A7+QjX1wFK9oA8RgyGTfmW1FmOcDUbHsTYX5apdBBXDElECg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:15.789990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.2946","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86669acd74292fb4ad96093d288ae557fdb69393163211a673b0f800fea64f3e","sha256:5960d37b3fed07b4b07bab9a92f84c0390d9abfb4ea84898cb58be3fe8867806"],"state_sha256":"80e452c18d54cc0996bdef32dd6fb7750851d35525783ab97c29e136a87af161"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1eI/jmnHlY3+BRqxemrXYC7SR0lFSq7+0hrqebR2hYByQy/C3Xn6KyuOt0NuRFCEjNPkx63aWG2Q3t4OxxlBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T14:10:35.854155Z","bundle_sha256":"0d22153aaa6e9e5b4a8f3d16e4326af35638fa27acc51d4ff879baa561d0d8e0"}}