{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:5NKESGUVFXE45E6BVSFFVZDPND","short_pith_number":"pith:5NKESGUV","canonical_record":{"source":{"id":"2201.00903","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-01-03T22:59:33Z","cross_cats_sorted":[],"title_canon_sha256":"986ff8d865ed0bb318356519837dc0c9d9705d2d170bbf25e9f63658b2a01365","abstract_canon_sha256":"411e4b08491d9ec127c13094e7a6ee68d6a1754f00a907f0b9db64d73ab29992"},"schema_version":"1.0"},"canonical_sha256":"eb54491a952dc9ce93c1ac8a5ae46f68e0dd6246fa568579c519690ec3fad1c2","source":{"kind":"arxiv","id":"2201.00903","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.00903","created_at":"2026-07-05T05:07:37Z"},{"alias_kind":"arxiv_version","alias_value":"2201.00903v2","created_at":"2026-07-05T05:07:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.00903","created_at":"2026-07-05T05:07:37Z"},{"alias_kind":"pith_short_12","alias_value":"5NKESGUVFXE4","created_at":"2026-07-05T05:07:37Z"},{"alias_kind":"pith_short_16","alias_value":"5NKESGUVFXE45E6B","created_at":"2026-07-05T05:07:37Z"},{"alias_kind":"pith_short_8","alias_value":"5NKESGUV","created_at":"2026-07-05T05:07:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:5NKESGUVFXE45E6BVSFFVZDPND","target":"record","payload":{"canonical_record":{"source":{"id":"2201.00903","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-01-03T22:59:33Z","cross_cats_sorted":[],"title_canon_sha256":"986ff8d865ed0bb318356519837dc0c9d9705d2d170bbf25e9f63658b2a01365","abstract_canon_sha256":"411e4b08491d9ec127c13094e7a6ee68d6a1754f00a907f0b9db64d73ab29992"},"schema_version":"1.0"},"canonical_sha256":"eb54491a952dc9ce93c1ac8a5ae46f68e0dd6246fa568579c519690ec3fad1c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:07:37.756474Z","signature_b64":"KkU/f4uJrfdJXO0IR8VMTxq42A3SpcYB6o94nkSjjgbhVqXJe2WRhK7/QQwudWjpxRt15ECv7bpX3QrgiTuWCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb54491a952dc9ce93c1ac8a5ae46f68e0dd6246fa568579c519690ec3fad1c2","last_reissued_at":"2026-07-05T05:07:37.755995Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:07:37.755995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.00903","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":"2026-07-05T05:07:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4x56Rp2mK9MbA1GLK7WZunZEtORfvRbGQExb7eDp8hH3X2f5wg5MJBzk5Hht0gLB0hSM4keZR0yY+SwG8/rbBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T18:45:13.215464Z"},"content_sha256":"d99fef26d66a6721fbf72965afddb5f0170684bbbd2db5d296097718fb256dad","schema_version":"1.0","event_id":"sha256:d99fef26d66a6721fbf72965afddb5f0170684bbbd2db5d296097718fb256dad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:5NKESGUVFXE45E6BVSFFVZDPND","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comments on Summing over Bordisms in TQFT","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anindya Banerjee, Gregory W. Moore","submitted_at":"2022-01-03T22:59:33Z","abstract_excerpt":"Recent works in quantum gravity, motivated by the factorization problem and baby universes, have considered sums over bordisms with fixed boundaries in topological quantum field theory (TQFT). We discuss this construction and observe a curious splitting formula for the total amplitude."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.00903","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2201.00903/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":"2026-07-05T05:07:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ga3/saQjO5NlELKkkiQB/RlZx4XzCZK7HvIK5Q+eFqg3sGLovTRmM5STm5Lu3IFSehC3+8enJE0SyfXNClReBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T18:45:13.215991Z"},"content_sha256":"96bc43d5e8726f3a0dc8763302ffcf2cce215b258bac1ae98f1b50f7c04eddb7","schema_version":"1.0","event_id":"sha256:96bc43d5e8726f3a0dc8763302ffcf2cce215b258bac1ae98f1b50f7c04eddb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5NKESGUVFXE45E6BVSFFVZDPND/bundle.json","state_url":"https://pith.science/pith/5NKESGUVFXE45E6BVSFFVZDPND/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5NKESGUVFXE45E6BVSFFVZDPND/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":"2026-08-17T18:45:13Z","links":{"resolver":"https://pith.science/pith/5NKESGUVFXE45E6BVSFFVZDPND","bundle":"https://pith.science/pith/5NKESGUVFXE45E6BVSFFVZDPND/bundle.json","state":"https://pith.science/pith/5NKESGUVFXE45E6BVSFFVZDPND/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5NKESGUVFXE45E6BVSFFVZDPND/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:5NKESGUVFXE45E6BVSFFVZDPND","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":"411e4b08491d9ec127c13094e7a6ee68d6a1754f00a907f0b9db64d73ab29992","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-01-03T22:59:33Z","title_canon_sha256":"986ff8d865ed0bb318356519837dc0c9d9705d2d170bbf25e9f63658b2a01365"},"schema_version":"1.0","source":{"id":"2201.00903","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.00903","created_at":"2026-07-05T05:07:37Z"},{"alias_kind":"arxiv_version","alias_value":"2201.00903v2","created_at":"2026-07-05T05:07:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.00903","created_at":"2026-07-05T05:07:37Z"},{"alias_kind":"pith_short_12","alias_value":"5NKESGUVFXE4","created_at":"2026-07-05T05:07:37Z"},{"alias_kind":"pith_short_16","alias_value":"5NKESGUVFXE45E6B","created_at":"2026-07-05T05:07:37Z"},{"alias_kind":"pith_short_8","alias_value":"5NKESGUV","created_at":"2026-07-05T05:07:37Z"}],"graph_snapshots":[{"event_id":"sha256:96bc43d5e8726f3a0dc8763302ffcf2cce215b258bac1ae98f1b50f7c04eddb7","target":"graph","created_at":"2026-07-05T05:07:37Z","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/2201.00903/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent works in quantum gravity, motivated by the factorization problem and baby universes, have considered sums over bordisms with fixed boundaries in topological quantum field theory (TQFT). We discuss this construction and observe a curious splitting formula for the total amplitude.","authors_text":"Anindya Banerjee, Gregory W. Moore","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-01-03T22:59:33Z","title":"Comments on Summing over Bordisms in TQFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.00903","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:d99fef26d66a6721fbf72965afddb5f0170684bbbd2db5d296097718fb256dad","target":"record","created_at":"2026-07-05T05:07:37Z","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":"411e4b08491d9ec127c13094e7a6ee68d6a1754f00a907f0b9db64d73ab29992","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-01-03T22:59:33Z","title_canon_sha256":"986ff8d865ed0bb318356519837dc0c9d9705d2d170bbf25e9f63658b2a01365"},"schema_version":"1.0","source":{"id":"2201.00903","kind":"arxiv","version":2}},"canonical_sha256":"eb54491a952dc9ce93c1ac8a5ae46f68e0dd6246fa568579c519690ec3fad1c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb54491a952dc9ce93c1ac8a5ae46f68e0dd6246fa568579c519690ec3fad1c2","first_computed_at":"2026-07-05T05:07:37.755995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:37.755995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KkU/f4uJrfdJXO0IR8VMTxq42A3SpcYB6o94nkSjjgbhVqXJe2WRhK7/QQwudWjpxRt15ECv7bpX3QrgiTuWCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:37.756474Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.00903","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d99fef26d66a6721fbf72965afddb5f0170684bbbd2db5d296097718fb256dad","sha256:96bc43d5e8726f3a0dc8763302ffcf2cce215b258bac1ae98f1b50f7c04eddb7"],"state_sha256":"01aea2f39725502be4421e176bceb7e1bbde63d997d53376e5831859fbb2542e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fQmqwnQL43rCD3AfsqByleBF7wxAkB+ghQhwcssvSzyRk2x8Pa9sRmSYBVlzBts3rXVcwkQbnAN82GgUkvymDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T18:45:13.221817Z","bundle_sha256":"101bd8c341c92a8cb078a19adac908521b365a81cdbe30925bf1418db335cf70"}}