{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:TLAAGIBCYNNO3FD5XP67XP27WL","short_pith_number":"pith:TLAAGIBC","canonical_record":{"source":{"id":"0811.2161","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-13T16:11:47Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"e2efa75b3e4061812bbc3c3d9ccaeb1a4c27f4aa4c01adaf29b268b6b516a011","abstract_canon_sha256":"cd9dfe7edb75db0be12827a402e0815208069d059567143fca6ec8fe96cd67e9"},"schema_version":"1.0"},"canonical_sha256":"9ac0032022c35aed947dbbfdfbbf5fb2f837c7e7b853d1df17ab7ea99177d245","source":{"kind":"arxiv","id":"0811.2161","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.2161","created_at":"2026-05-18T04:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"0811.2161v2","created_at":"2026-05-18T04:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.2161","created_at":"2026-05-18T04:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"TLAAGIBCYNNO","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TLAAGIBCYNNO3FD5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TLAAGIBC","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:TLAAGIBCYNNO3FD5XP67XP27WL","target":"record","payload":{"canonical_record":{"source":{"id":"0811.2161","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-13T16:11:47Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"e2efa75b3e4061812bbc3c3d9ccaeb1a4c27f4aa4c01adaf29b268b6b516a011","abstract_canon_sha256":"cd9dfe7edb75db0be12827a402e0815208069d059567143fca6ec8fe96cd67e9"},"schema_version":"1.0"},"canonical_sha256":"9ac0032022c35aed947dbbfdfbbf5fb2f837c7e7b853d1df17ab7ea99177d245","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:24.374783Z","signature_b64":"qca8dpmebzl7FJece9PMHXrXoTeuGIJ2AsyC1Cq7yX3s1q0zELkusKf5wBIvSvLjdP/GlPCJnLia4T4BznrwCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ac0032022c35aed947dbbfdfbbf5fb2f837c7e7b853d1df17ab7ea99177d245","last_reissued_at":"2026-05-18T04:18:24.374250Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:24.374250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.2161","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":"2026-05-18T04:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ERFQKqa2ByzvJSzEsx6pr6+X7AlXXf+DiweWD38s6C9cvLCRB7JZ8JwQRi6Q/kICZUVemv7eBMLBxThwH/JTAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:39:59.022889Z"},"content_sha256":"e2ade7b013b8d453b5b0ff0f860df26bd0373abaf6e963168e386533b5b1d40e","schema_version":"1.0","event_id":"sha256:e2ade7b013b8d453b5b0ff0f860df26bd0373abaf6e963168e386533b5b1d40e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:TLAAGIBCYNNO3FD5XP67XP27WL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Infinite Degeneracy of States in Quantum Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Jonathan Hackett, Yidun Wan","submitted_at":"2008-11-13T16:11:47Z","abstract_excerpt":"The setting of Braided Ribbon Networks is used to present a general result in spin-networks embedded in manifolds: the existence of an infinite number of species of conserved quantities. Restricted to three-valent networks the number of such conserved quantities in a given network is shown to be invariant barring a single case. The implication of these conserved quantities is discussed in the context of Loop Quantum Gravity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.2161","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":"2026-05-18T04:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pi74F5tOYvvDiKq9vawkJNtd+sztUBfFuctzIeMwKu+F3QLU7cE++ZLJ7sQrRyaofQUP0Jhn7Ily2PVO9MUtDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:39:59.023251Z"},"content_sha256":"90b825b93f4b111ed03b0613013d80f0260427ca86899e7c829dc1d582f501bd","schema_version":"1.0","event_id":"sha256:90b825b93f4b111ed03b0613013d80f0260427ca86899e7c829dc1d582f501bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TLAAGIBCYNNO3FD5XP67XP27WL/bundle.json","state_url":"https://pith.science/pith/TLAAGIBCYNNO3FD5XP67XP27WL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TLAAGIBCYNNO3FD5XP67XP27WL/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":"2026-06-02T15:39:59Z","links":{"resolver":"https://pith.science/pith/TLAAGIBCYNNO3FD5XP67XP27WL","bundle":"https://pith.science/pith/TLAAGIBCYNNO3FD5XP67XP27WL/bundle.json","state":"https://pith.science/pith/TLAAGIBCYNNO3FD5XP67XP27WL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TLAAGIBCYNNO3FD5XP67XP27WL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:TLAAGIBCYNNO3FD5XP67XP27WL","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":"cd9dfe7edb75db0be12827a402e0815208069d059567143fca6ec8fe96cd67e9","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-13T16:11:47Z","title_canon_sha256":"e2efa75b3e4061812bbc3c3d9ccaeb1a4c27f4aa4c01adaf29b268b6b516a011"},"schema_version":"1.0","source":{"id":"0811.2161","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.2161","created_at":"2026-05-18T04:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"0811.2161v2","created_at":"2026-05-18T04:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.2161","created_at":"2026-05-18T04:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"TLAAGIBCYNNO","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TLAAGIBCYNNO3FD5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TLAAGIBC","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:90b825b93f4b111ed03b0613013d80f0260427ca86899e7c829dc1d582f501bd","target":"graph","created_at":"2026-05-18T04:18:24Z","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 setting of Braided Ribbon Networks is used to present a general result in spin-networks embedded in manifolds: the existence of an infinite number of species of conserved quantities. Restricted to three-valent networks the number of such conserved quantities in a given network is shown to be invariant barring a single case. The implication of these conserved quantities is discussed in the context of Loop Quantum Gravity.","authors_text":"Jonathan Hackett, Yidun Wan","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-13T16:11:47Z","title":"Infinite Degeneracy of States in Quantum Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.2161","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:e2ade7b013b8d453b5b0ff0f860df26bd0373abaf6e963168e386533b5b1d40e","target":"record","created_at":"2026-05-18T04:18:24Z","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":"cd9dfe7edb75db0be12827a402e0815208069d059567143fca6ec8fe96cd67e9","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-13T16:11:47Z","title_canon_sha256":"e2efa75b3e4061812bbc3c3d9ccaeb1a4c27f4aa4c01adaf29b268b6b516a011"},"schema_version":"1.0","source":{"id":"0811.2161","kind":"arxiv","version":2}},"canonical_sha256":"9ac0032022c35aed947dbbfdfbbf5fb2f837c7e7b853d1df17ab7ea99177d245","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ac0032022c35aed947dbbfdfbbf5fb2f837c7e7b853d1df17ab7ea99177d245","first_computed_at":"2026-05-18T04:18:24.374250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:24.374250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qca8dpmebzl7FJece9PMHXrXoTeuGIJ2AsyC1Cq7yX3s1q0zELkusKf5wBIvSvLjdP/GlPCJnLia4T4BznrwCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:24.374783Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.2161","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2ade7b013b8d453b5b0ff0f860df26bd0373abaf6e963168e386533b5b1d40e","sha256:90b825b93f4b111ed03b0613013d80f0260427ca86899e7c829dc1d582f501bd"],"state_sha256":"57174663ac10866c9153ea3253c31f05f1487ac313df2ccccc0a062a71b1004c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XvSiP2I8uxCAskEbuX+yd54DSUrConfv2+GR0hgijl/4zhZztooFe81m5Rys4O6iOgM7a1n+QmknLDo6lVNxDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:39:59.025223Z","bundle_sha256":"2a7f10b441df84df931fc9ed3adf70ffefb5cc7ba8c2b61626119127dd3703e7"}}