{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:JFG5Z4X2VZWYIMBKBGXTSOXW4Y","short_pith_number":"pith:JFG5Z4X2","canonical_record":{"source":{"id":"2212.14396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-29T17:58:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5168996e1c6862f19473b44cab39510c677c087b35d139ab7136c5b941d2c454","abstract_canon_sha256":"76c2af50ae51d75635b1788034696946d1784c1f875b20dda68bd770ce28533f"},"schema_version":"1.0"},"canonical_sha256":"494ddcf2faae6d84302a09af393af6e60c90491308998ca6fc71c0711fb6f7c9","source":{"kind":"arxiv","id":"2212.14396","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.14396","created_at":"2026-07-05T06:49:18Z"},{"alias_kind":"arxiv_version","alias_value":"2212.14396v1","created_at":"2026-07-05T06:49:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.14396","created_at":"2026-07-05T06:49:18Z"},{"alias_kind":"pith_short_12","alias_value":"JFG5Z4X2VZWY","created_at":"2026-07-05T06:49:18Z"},{"alias_kind":"pith_short_16","alias_value":"JFG5Z4X2VZWYIMBK","created_at":"2026-07-05T06:49:18Z"},{"alias_kind":"pith_short_8","alias_value":"JFG5Z4X2","created_at":"2026-07-05T06:49:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:JFG5Z4X2VZWYIMBKBGXTSOXW4Y","target":"record","payload":{"canonical_record":{"source":{"id":"2212.14396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-29T17:58:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5168996e1c6862f19473b44cab39510c677c087b35d139ab7136c5b941d2c454","abstract_canon_sha256":"76c2af50ae51d75635b1788034696946d1784c1f875b20dda68bd770ce28533f"},"schema_version":"1.0"},"canonical_sha256":"494ddcf2faae6d84302a09af393af6e60c90491308998ca6fc71c0711fb6f7c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:49:18.051821Z","signature_b64":"+EXBVuE2jmiOgto3renYGlQpQ9SdwdR8tAqBGJwfhJOV/OOY+YTQVo1Q8Kdrq21TbgQxr1H7xcHKX65XxaY6Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"494ddcf2faae6d84302a09af393af6e60c90491308998ca6fc71c0711fb6f7c9","last_reissued_at":"2026-07-05T06:49:18.051253Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:49:18.051253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.14396","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":"2026-07-05T06:49:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8lOFnONfvnPuRWHawxjPAGy7bAJxPj+wk5uaefc+QBLvvbkTOrJJS88/cVOo5tszs0899/oUPJzMdFFU2zXVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T11:05:33.723783Z"},"content_sha256":"4414a328b2d5823cb10fd994d1086e70dc07818e45f509eb61b17fbf7bbc0751","schema_version":"1.0","event_id":"sha256:4414a328b2d5823cb10fd994d1086e70dc07818e45f509eb61b17fbf7bbc0751"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:JFG5Z4X2VZWYIMBKBGXTSOXW4Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spinfoams and high performance computing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Hongguang Liu, Muxin Han, Pietro Dona","submitted_at":"2022-12-29T17:58:31Z","abstract_excerpt":"Numerical methods are a powerful tool for doing calculations in spinfoam theory. We review the major frameworks available, their definition, and various applications. We start from $\\texttt{sl2cfoam-next}$, the state-of-the-art library to efficiently compute EPRL spin foam amplitudes based on the booster decomposition. We also review two alternative approaches based on the integration representation of the spinfoam amplitude: Firstly, the numerical computations of the complex critical points discover the curved geometries from the spinfoam amplitude and provides important evidence of resolving"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.14396","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2212.14396/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":"2026-07-05T06:49:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RkYidMlo178vRW0oVx8WhaXeptf62NEa+QodxCd7CkFf7THgS0GF2v8BQ8j6MNfJ0t5td0QIInz4zV8uEWKNDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T11:05:33.724273Z"},"content_sha256":"4d94fa9f18aec2086badd8895997c866e0f8092435a5e00cbb77324178b2699a","schema_version":"1.0","event_id":"sha256:4d94fa9f18aec2086badd8895997c866e0f8092435a5e00cbb77324178b2699a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JFG5Z4X2VZWYIMBKBGXTSOXW4Y/bundle.json","state_url":"https://pith.science/pith/JFG5Z4X2VZWYIMBKBGXTSOXW4Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JFG5Z4X2VZWYIMBKBGXTSOXW4Y/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":"2026-08-21T11:05:33Z","links":{"resolver":"https://pith.science/pith/JFG5Z4X2VZWYIMBKBGXTSOXW4Y","bundle":"https://pith.science/pith/JFG5Z4X2VZWYIMBKBGXTSOXW4Y/bundle.json","state":"https://pith.science/pith/JFG5Z4X2VZWYIMBKBGXTSOXW4Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JFG5Z4X2VZWYIMBKBGXTSOXW4Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:JFG5Z4X2VZWYIMBKBGXTSOXW4Y","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":"76c2af50ae51d75635b1788034696946d1784c1f875b20dda68bd770ce28533f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-29T17:58:31Z","title_canon_sha256":"5168996e1c6862f19473b44cab39510c677c087b35d139ab7136c5b941d2c454"},"schema_version":"1.0","source":{"id":"2212.14396","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.14396","created_at":"2026-07-05T06:49:18Z"},{"alias_kind":"arxiv_version","alias_value":"2212.14396v1","created_at":"2026-07-05T06:49:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.14396","created_at":"2026-07-05T06:49:18Z"},{"alias_kind":"pith_short_12","alias_value":"JFG5Z4X2VZWY","created_at":"2026-07-05T06:49:18Z"},{"alias_kind":"pith_short_16","alias_value":"JFG5Z4X2VZWYIMBK","created_at":"2026-07-05T06:49:18Z"},{"alias_kind":"pith_short_8","alias_value":"JFG5Z4X2","created_at":"2026-07-05T06:49:18Z"}],"graph_snapshots":[{"event_id":"sha256:4d94fa9f18aec2086badd8895997c866e0f8092435a5e00cbb77324178b2699a","target":"graph","created_at":"2026-07-05T06:49:18Z","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/2212.14396/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Numerical methods are a powerful tool for doing calculations in spinfoam theory. We review the major frameworks available, their definition, and various applications. We start from $\\texttt{sl2cfoam-next}$, the state-of-the-art library to efficiently compute EPRL spin foam amplitudes based on the booster decomposition. We also review two alternative approaches based on the integration representation of the spinfoam amplitude: Firstly, the numerical computations of the complex critical points discover the curved geometries from the spinfoam amplitude and provides important evidence of resolving","authors_text":"Hongguang Liu, Muxin Han, Pietro Dona","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-29T17:58:31Z","title":"Spinfoams and high performance computing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.14396","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":"sha256:4414a328b2d5823cb10fd994d1086e70dc07818e45f509eb61b17fbf7bbc0751","target":"record","created_at":"2026-07-05T06:49:18Z","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":"76c2af50ae51d75635b1788034696946d1784c1f875b20dda68bd770ce28533f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-29T17:58:31Z","title_canon_sha256":"5168996e1c6862f19473b44cab39510c677c087b35d139ab7136c5b941d2c454"},"schema_version":"1.0","source":{"id":"2212.14396","kind":"arxiv","version":1}},"canonical_sha256":"494ddcf2faae6d84302a09af393af6e60c90491308998ca6fc71c0711fb6f7c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"494ddcf2faae6d84302a09af393af6e60c90491308998ca6fc71c0711fb6f7c9","first_computed_at":"2026-07-05T06:49:18.051253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:49:18.051253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+EXBVuE2jmiOgto3renYGlQpQ9SdwdR8tAqBGJwfhJOV/OOY+YTQVo1Q8Kdrq21TbgQxr1H7xcHKX65XxaY6Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:49:18.051821Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.14396","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4414a328b2d5823cb10fd994d1086e70dc07818e45f509eb61b17fbf7bbc0751","sha256:4d94fa9f18aec2086badd8895997c866e0f8092435a5e00cbb77324178b2699a"],"state_sha256":"2a6e910b44bc223696671d56a3f290a9840aaed615590980506a3a6316ee0dd5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pZ9Bs8fEbqOPQAfkNRgS3elDNUokWWPDGALqo7nIQ9nsKmaK2XyofHsq1YXNVsCBLtgAIcZVxBcxjQMeIcccBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T11:05:33.727653Z","bundle_sha256":"c64a5776641af24e436f0d835ddb3c670528ad645011c7b080f6181d1dd20681"}}