{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:J5IM5OIETYT2HDW57B7LYQ4JLK","short_pith_number":"pith:J5IM5OIE","canonical_record":{"source":{"id":"1106.6016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-29T18:06:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a233140e71655460e8c7eb0197eb94a69813d30e3d51420e499f40c06893ebb2","abstract_canon_sha256":"e6018574c4eb814a4fe63e280fe45d9a6beb6151aa9690c77070d69a672df1a5"},"schema_version":"1.0"},"canonical_sha256":"4f50ceb9049e27a38eddf87ebc43895aa1c6abf0742ce629b5cf94f587729b22","source":{"kind":"arxiv","id":"1106.6016","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.6016","created_at":"2026-05-18T02:01:26Z"},{"alias_kind":"arxiv_version","alias_value":"1106.6016v1","created_at":"2026-05-18T02:01:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.6016","created_at":"2026-05-18T02:01:26Z"},{"alias_kind":"pith_short_12","alias_value":"J5IM5OIETYT2","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"J5IM5OIETYT2HDW5","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"J5IM5OIE","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:J5IM5OIETYT2HDW57B7LYQ4JLK","target":"record","payload":{"canonical_record":{"source":{"id":"1106.6016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-29T18:06:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a233140e71655460e8c7eb0197eb94a69813d30e3d51420e499f40c06893ebb2","abstract_canon_sha256":"e6018574c4eb814a4fe63e280fe45d9a6beb6151aa9690c77070d69a672df1a5"},"schema_version":"1.0"},"canonical_sha256":"4f50ceb9049e27a38eddf87ebc43895aa1c6abf0742ce629b5cf94f587729b22","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:26.855123Z","signature_b64":"6EGP+iIkND0PVOVCqanYLxfCy1AJJ4gZBtJZkska5SV7l1iSarq6RZP4AM4PVh772UsuqOqB0Ep/M722T3QzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f50ceb9049e27a38eddf87ebc43895aa1c6abf0742ce629b5cf94f587729b22","last_reissued_at":"2026-05-18T02:01:26.854265Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:26.854265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.6016","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":"2026-05-18T02:01:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aLzM2PdYVPKehBMBvR5VGWGhVEY6HabkbRNewbGCwGLbA7sNn65oVOIpCqVJrUlW/cVstv35jyg6lkh72kfhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:37:37.046487Z"},"content_sha256":"d9729a304d578355f5aae410baa90918a21a98e48bc51dcb6b20eea99ec2a99b","schema_version":"1.0","event_id":"sha256:d9729a304d578355f5aae410baa90918a21a98e48bc51dcb6b20eea99ec2a99b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:J5IM5OIETYT2HDW57B7LYQ4JLK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Holonomy observables in Ponzano-Regge type state sum models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Frank Hellmann, John W. Barrett","submitted_at":"2011-06-29T18:06:01Z","abstract_excerpt":"We study observables on group elements in the Ponzano-Regge model. We show that these observables have a natural interpretation in terms of Feynman diagrams on a sphere and contrast them to the well studied observables on the spin labels. We elucidate this interpretation by showing how they arise from the no-gravity limit of the Turaev-Viro model and Chern-Simons theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.6016","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":"2026-05-18T02:01:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"caNXsDdBN4a2LC2ITuFz5Ot+Gn0dVQNz1/4ad0RRJ50wNYgpF6l8qHfLuWeux8Qg1t7MO2mt6y2h1bt+GsgGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:37:37.046834Z"},"content_sha256":"afdc3e56e045c76e86094069b6f36d877ddb226da9bf45f7797893db406aecf5","schema_version":"1.0","event_id":"sha256:afdc3e56e045c76e86094069b6f36d877ddb226da9bf45f7797893db406aecf5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J5IM5OIETYT2HDW57B7LYQ4JLK/bundle.json","state_url":"https://pith.science/pith/J5IM5OIETYT2HDW57B7LYQ4JLK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J5IM5OIETYT2HDW57B7LYQ4JLK/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":"2026-06-07T11:37:37Z","links":{"resolver":"https://pith.science/pith/J5IM5OIETYT2HDW57B7LYQ4JLK","bundle":"https://pith.science/pith/J5IM5OIETYT2HDW57B7LYQ4JLK/bundle.json","state":"https://pith.science/pith/J5IM5OIETYT2HDW57B7LYQ4JLK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J5IM5OIETYT2HDW57B7LYQ4JLK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:J5IM5OIETYT2HDW57B7LYQ4JLK","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":"e6018574c4eb814a4fe63e280fe45d9a6beb6151aa9690c77070d69a672df1a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-29T18:06:01Z","title_canon_sha256":"a233140e71655460e8c7eb0197eb94a69813d30e3d51420e499f40c06893ebb2"},"schema_version":"1.0","source":{"id":"1106.6016","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.6016","created_at":"2026-05-18T02:01:26Z"},{"alias_kind":"arxiv_version","alias_value":"1106.6016v1","created_at":"2026-05-18T02:01:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.6016","created_at":"2026-05-18T02:01:26Z"},{"alias_kind":"pith_short_12","alias_value":"J5IM5OIETYT2","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"J5IM5OIETYT2HDW5","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"J5IM5OIE","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:afdc3e56e045c76e86094069b6f36d877ddb226da9bf45f7797893db406aecf5","target":"graph","created_at":"2026-05-18T02:01:26Z","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 study observables on group elements in the Ponzano-Regge model. We show that these observables have a natural interpretation in terms of Feynman diagrams on a sphere and contrast them to the well studied observables on the spin labels. We elucidate this interpretation by showing how they arise from the no-gravity limit of the Turaev-Viro model and Chern-Simons theory.","authors_text":"Frank Hellmann, John W. Barrett","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-29T18:06:01Z","title":"Holonomy observables in Ponzano-Regge type state sum models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.6016","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:d9729a304d578355f5aae410baa90918a21a98e48bc51dcb6b20eea99ec2a99b","target":"record","created_at":"2026-05-18T02:01:26Z","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":"e6018574c4eb814a4fe63e280fe45d9a6beb6151aa9690c77070d69a672df1a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-29T18:06:01Z","title_canon_sha256":"a233140e71655460e8c7eb0197eb94a69813d30e3d51420e499f40c06893ebb2"},"schema_version":"1.0","source":{"id":"1106.6016","kind":"arxiv","version":1}},"canonical_sha256":"4f50ceb9049e27a38eddf87ebc43895aa1c6abf0742ce629b5cf94f587729b22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f50ceb9049e27a38eddf87ebc43895aa1c6abf0742ce629b5cf94f587729b22","first_computed_at":"2026-05-18T02:01:26.854265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:26.854265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6EGP+iIkND0PVOVCqanYLxfCy1AJJ4gZBtJZkska5SV7l1iSarq6RZP4AM4PVh772UsuqOqB0Ep/M722T3QzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:26.855123Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.6016","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9729a304d578355f5aae410baa90918a21a98e48bc51dcb6b20eea99ec2a99b","sha256:afdc3e56e045c76e86094069b6f36d877ddb226da9bf45f7797893db406aecf5"],"state_sha256":"f27dacd25c5ff7a344f737890608e2851d548b4469d9259b432fb4cec491e356"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lpirZstpC9PmSOAElzhIUlLF7V6ICwZ3Iaw8e6wEmJwbjiwaH+LrXHdEv/xdea7K3FjkmcN0SPjgTOynERIADw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T11:37:37.048765Z","bundle_sha256":"b606d81565e87368d74b6c705b4900266d3b3b88a235b18909decec8d7f2f9f8"}}