{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:CEFBRL4BOWPQQBS7764HBMQOM5","short_pith_number":"pith:CEFBRL4B","canonical_record":{"source":{"id":"2302.00072","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-01-31T20:11:29Z","cross_cats_sorted":[],"title_canon_sha256":"2a34d286427e80c02973c9f04adb1cb7acd14ffa4ac756f7e440882270576be9","abstract_canon_sha256":"3078a46ba8a2bcf7fc61418e9930ffe9026ff38c44ca0bd88839cd477544e864"},"schema_version":"1.0"},"canonical_sha256":"110a18af81759f08065fffb870b20e674b3f2a6fffe1444bd0a111a35f101ffb","source":{"kind":"arxiv","id":"2302.00072","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.00072","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"2302.00072v2","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.00072","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"CEFBRL4BOWPQ","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_16","alias_value":"CEFBRL4BOWPQQBS7","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_8","alias_value":"CEFBRL4B","created_at":"2026-07-05T06:08:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:CEFBRL4BOWPQQBS7764HBMQOM5","target":"record","payload":{"canonical_record":{"source":{"id":"2302.00072","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-01-31T20:11:29Z","cross_cats_sorted":[],"title_canon_sha256":"2a34d286427e80c02973c9f04adb1cb7acd14ffa4ac756f7e440882270576be9","abstract_canon_sha256":"3078a46ba8a2bcf7fc61418e9930ffe9026ff38c44ca0bd88839cd477544e864"},"schema_version":"1.0"},"canonical_sha256":"110a18af81759f08065fffb870b20e674b3f2a6fffe1444bd0a111a35f101ffb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:08:53.945684Z","signature_b64":"i6lfppKo4lEeDFC/kMnW6lzdmM81jKjVC4DNJQaCeb1CWAA3u6M6Fz0VJGJd+vaIFmEB08guX68KqQJkD+HKCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"110a18af81759f08065fffb870b20e674b3f2a6fffe1444bd0a111a35f101ffb","last_reissued_at":"2026-07-05T06:08:53.945335Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:08:53.945335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.00072","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":"2026-07-05T06:08:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T3M1XPcVp3G6URon1Sd9OSkFtOELdKysmG/8S9FfvP4iOk0tI5qJ6l84el8eI8KWNVcTA2YOy2vHRJJhXgHzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T21:36:58.970395Z"},"content_sha256":"dbcbf7e1c3741ef155396afdd167601e91c604db682ce0426836408e6ebca3a8","schema_version":"1.0","event_id":"sha256:dbcbf7e1c3741ef155396afdd167601e91c604db682ce0426836408e6ebca3a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:CEFBRL4BOWPQQBS7764HBMQOM5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Summing bulk quantum numbers with Monte Carlo in spin foam theories","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Pietro Dona, Pietropaolo Frisoni","submitted_at":"2023-01-31T20:11:29Z","abstract_excerpt":"We introduce a strategy to compute EPRL spin foam amplitudes with many internal faces numerically. We work with sl2cfoam-next, the state-of-the-art framework to numerically evaluate spin foam transition amplitudes. We find that uniform sampling Monte Carlo is exceptionally effective in approximating the sum over internal quantum numbers of a spin foam amplitude, considerably reducing the computational resources necessary. We apply it to compute large volume divergences of the theory and find surprising numerical evidence that the EPRL vertex renormalization amplitude is instead finite."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.00072","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/2302.00072/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":"2026-07-05T06:08:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v3U/L9eHUj3mHmweuePJK7NMfJgEZObmqPyU0/yPW1XAiHrKecWpcr35ce6rwV/vMMx4OhFGu8lpikm3bcK9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T21:36:58.971056Z"},"content_sha256":"94f222b7e89f3d735b71b8f6444e96fbb628618cf4757b0c6486f68043b823e1","schema_version":"1.0","event_id":"sha256:94f222b7e89f3d735b71b8f6444e96fbb628618cf4757b0c6486f68043b823e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CEFBRL4BOWPQQBS7764HBMQOM5/bundle.json","state_url":"https://pith.science/pith/CEFBRL4BOWPQQBS7764HBMQOM5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CEFBRL4BOWPQQBS7764HBMQOM5/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":"2026-07-31T21:36:58Z","links":{"resolver":"https://pith.science/pith/CEFBRL4BOWPQQBS7764HBMQOM5","bundle":"https://pith.science/pith/CEFBRL4BOWPQQBS7764HBMQOM5/bundle.json","state":"https://pith.science/pith/CEFBRL4BOWPQQBS7764HBMQOM5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CEFBRL4BOWPQQBS7764HBMQOM5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CEFBRL4BOWPQQBS7764HBMQOM5","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":"3078a46ba8a2bcf7fc61418e9930ffe9026ff38c44ca0bd88839cd477544e864","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-01-31T20:11:29Z","title_canon_sha256":"2a34d286427e80c02973c9f04adb1cb7acd14ffa4ac756f7e440882270576be9"},"schema_version":"1.0","source":{"id":"2302.00072","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.00072","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"2302.00072v2","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.00072","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"CEFBRL4BOWPQ","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_16","alias_value":"CEFBRL4BOWPQQBS7","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_8","alias_value":"CEFBRL4B","created_at":"2026-07-05T06:08:53Z"}],"graph_snapshots":[{"event_id":"sha256:94f222b7e89f3d735b71b8f6444e96fbb628618cf4757b0c6486f68043b823e1","target":"graph","created_at":"2026-07-05T06:08:53Z","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/2302.00072/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a strategy to compute EPRL spin foam amplitudes with many internal faces numerically. We work with sl2cfoam-next, the state-of-the-art framework to numerically evaluate spin foam transition amplitudes. We find that uniform sampling Monte Carlo is exceptionally effective in approximating the sum over internal quantum numbers of a spin foam amplitude, considerably reducing the computational resources necessary. We apply it to compute large volume divergences of the theory and find surprising numerical evidence that the EPRL vertex renormalization amplitude is instead finite.","authors_text":"Pietro Dona, Pietropaolo Frisoni","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-01-31T20:11:29Z","title":"Summing bulk quantum numbers with Monte Carlo in spin foam theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.00072","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:dbcbf7e1c3741ef155396afdd167601e91c604db682ce0426836408e6ebca3a8","target":"record","created_at":"2026-07-05T06:08:53Z","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":"3078a46ba8a2bcf7fc61418e9930ffe9026ff38c44ca0bd88839cd477544e864","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-01-31T20:11:29Z","title_canon_sha256":"2a34d286427e80c02973c9f04adb1cb7acd14ffa4ac756f7e440882270576be9"},"schema_version":"1.0","source":{"id":"2302.00072","kind":"arxiv","version":2}},"canonical_sha256":"110a18af81759f08065fffb870b20e674b3f2a6fffe1444bd0a111a35f101ffb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"110a18af81759f08065fffb870b20e674b3f2a6fffe1444bd0a111a35f101ffb","first_computed_at":"2026-07-05T06:08:53.945335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:08:53.945335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i6lfppKo4lEeDFC/kMnW6lzdmM81jKjVC4DNJQaCeb1CWAA3u6M6Fz0VJGJd+vaIFmEB08guX68KqQJkD+HKCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:08:53.945684Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.00072","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbcbf7e1c3741ef155396afdd167601e91c604db682ce0426836408e6ebca3a8","sha256:94f222b7e89f3d735b71b8f6444e96fbb628618cf4757b0c6486f68043b823e1"],"state_sha256":"e84371d410edfe3a306d5081c88eea7596bfdd915d60103ef37e68fc37329e11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8jfun/Ho1t/EISrbuBdUQpY1WMoI88VGfs23PXDpD+Ful0gDId5M7c3/uhPUb0jRvhzpiVo0tQrub/pBACiUCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T21:36:58.978536Z","bundle_sha256":"ec1e28e1fd4135b8ab99e1297629cfb1ad54e64bf53f607e91485fcc313a72e1"}}