{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:F5HLOP2WOIW7BJIPB7COMDOY6K","short_pith_number":"pith:F5HLOP2W","canonical_record":{"source":{"id":"1111.2865","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-11T21:03:12Z","cross_cats_sorted":[],"title_canon_sha256":"94feaf1752cfb133fb4870c00db48374b325629ad57ec30d49898a2aa7f57afc","abstract_canon_sha256":"d3d4866a9c41e1bbb6447dea8794ad7bb18dcba1503597f1be0e6a9484d9f3f5"},"schema_version":"1.0"},"canonical_sha256":"2f4eb73f56722df0a50f0fc4e60dd8f2a1d42febe2058d185baead38d59126ae","source":{"kind":"arxiv","id":"1111.2865","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2865","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2865v4","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2865","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"pith_short_12","alias_value":"F5HLOP2WOIW7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"F5HLOP2WOIW7BJIP","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"F5HLOP2W","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:F5HLOP2WOIW7BJIPB7COMDOY6K","target":"record","payload":{"canonical_record":{"source":{"id":"1111.2865","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-11T21:03:12Z","cross_cats_sorted":[],"title_canon_sha256":"94feaf1752cfb133fb4870c00db48374b325629ad57ec30d49898a2aa7f57afc","abstract_canon_sha256":"d3d4866a9c41e1bbb6447dea8794ad7bb18dcba1503597f1be0e6a9484d9f3f5"},"schema_version":"1.0"},"canonical_sha256":"2f4eb73f56722df0a50f0fc4e60dd8f2a1d42febe2058d185baead38d59126ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:32.240344Z","signature_b64":"d3HQblGrx6ckbFxsmL/mg3CGRXZ50opv6V8siRUW5r9NU2OOo8ZBoPsWTOiuNlHM5wOC48wcmNk60AdunCQVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f4eb73f56722df0a50f0fc4e60dd8f2a1d42febe2058d185baead38d59126ae","last_reissued_at":"2026-05-18T03:13:32.239512Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:32.239512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.2865","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:13:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tnbJlf2JoMPlLqakbfcjsQUhX4vQZuRztWpN30VZfjdD/HJblBi50ptqZXqmZqjuU8WOHqTWnlRShz98Y18wCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:41:57.651493Z"},"content_sha256":"85927b130f08fba3cf8b2613dbcc7dfe30c2126bd23f4fda56b50ad06484ac93","schema_version":"1.0","event_id":"sha256:85927b130f08fba3cf8b2613dbcc7dfe30c2126bd23f4fda56b50ad06484ac93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:F5HLOP2WOIW7BJIPB7COMDOY6K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A proposed proper EPRL vertex amplitude","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jonathan Engle","submitted_at":"2011-11-11T21:03:12Z","abstract_excerpt":"As established in a prior work of the author, the linear simplicity constraints used in the construction of the so-called `new' spin-foam models mix three of the five sectors of Plebanski theory as well as two dynamical orientations, and this is the reason for multiple terms in the asymptotics of the EPRL vertex amplitude as calculated by Barrett et al. Specifically, the term equal to the usual exponential of $i$ times the Regge action corresponds to configurations either in sector (II+) with positive orientation or sector (II-) with negative orientation. The presence of the other terms beyond"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2865","kind":"arxiv","version":4},"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":"2026-05-18T03:13:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"acAcPs8Gf6jpW1iuapkEtlJ02U75dRbeWDkQEkdLqQuH1CjABoCv4e1+c6S+8jEr7tTSK24SEHjDpl2OXXMCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:41:57.651982Z"},"content_sha256":"d5e58498310d12aefb008ea2f094de53c13d7090ed53a8161fe77081e74d3e10","schema_version":"1.0","event_id":"sha256:d5e58498310d12aefb008ea2f094de53c13d7090ed53a8161fe77081e74d3e10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F5HLOP2WOIW7BJIPB7COMDOY6K/bundle.json","state_url":"https://pith.science/pith/F5HLOP2WOIW7BJIPB7COMDOY6K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F5HLOP2WOIW7BJIPB7COMDOY6K/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":"2026-05-21T19:41:57Z","links":{"resolver":"https://pith.science/pith/F5HLOP2WOIW7BJIPB7COMDOY6K","bundle":"https://pith.science/pith/F5HLOP2WOIW7BJIPB7COMDOY6K/bundle.json","state":"https://pith.science/pith/F5HLOP2WOIW7BJIPB7COMDOY6K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F5HLOP2WOIW7BJIPB7COMDOY6K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:F5HLOP2WOIW7BJIPB7COMDOY6K","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":"d3d4866a9c41e1bbb6447dea8794ad7bb18dcba1503597f1be0e6a9484d9f3f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-11T21:03:12Z","title_canon_sha256":"94feaf1752cfb133fb4870c00db48374b325629ad57ec30d49898a2aa7f57afc"},"schema_version":"1.0","source":{"id":"1111.2865","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2865","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2865v4","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2865","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"pith_short_12","alias_value":"F5HLOP2WOIW7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"F5HLOP2WOIW7BJIP","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"F5HLOP2W","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:d5e58498310d12aefb008ea2f094de53c13d7090ed53a8161fe77081e74d3e10","target":"graph","created_at":"2026-05-18T03:13:32Z","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":"As established in a prior work of the author, the linear simplicity constraints used in the construction of the so-called `new' spin-foam models mix three of the five sectors of Plebanski theory as well as two dynamical orientations, and this is the reason for multiple terms in the asymptotics of the EPRL vertex amplitude as calculated by Barrett et al. Specifically, the term equal to the usual exponential of $i$ times the Regge action corresponds to configurations either in sector (II+) with positive orientation or sector (II-) with negative orientation. The presence of the other terms beyond","authors_text":"Jonathan Engle","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-11T21:03:12Z","title":"A proposed proper EPRL vertex amplitude"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2865","kind":"arxiv","version":4},"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":"sha256:85927b130f08fba3cf8b2613dbcc7dfe30c2126bd23f4fda56b50ad06484ac93","target":"record","created_at":"2026-05-18T03:13:32Z","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":"d3d4866a9c41e1bbb6447dea8794ad7bb18dcba1503597f1be0e6a9484d9f3f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-11T21:03:12Z","title_canon_sha256":"94feaf1752cfb133fb4870c00db48374b325629ad57ec30d49898a2aa7f57afc"},"schema_version":"1.0","source":{"id":"1111.2865","kind":"arxiv","version":4}},"canonical_sha256":"2f4eb73f56722df0a50f0fc4e60dd8f2a1d42febe2058d185baead38d59126ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f4eb73f56722df0a50f0fc4e60dd8f2a1d42febe2058d185baead38d59126ae","first_computed_at":"2026-05-18T03:13:32.239512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:32.239512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d3HQblGrx6ckbFxsmL/mg3CGRXZ50opv6V8siRUW5r9NU2OOo8ZBoPsWTOiuNlHM5wOC48wcmNk60AdunCQVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:32.240344Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.2865","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85927b130f08fba3cf8b2613dbcc7dfe30c2126bd23f4fda56b50ad06484ac93","sha256:d5e58498310d12aefb008ea2f094de53c13d7090ed53a8161fe77081e74d3e10"],"state_sha256":"493ec1b4066e30abef7d1b3947503a1445e32d91d5c92b04a1d292b9d64a7d6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BPadOI4drsDqCOsU5Ay3+ICz5GRMTrTyOiz24/l3i5nz22PuszwhNQHORlZR3tyMYD0e7M9RxQTJIpjWQ3LiAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T19:41:57.654441Z","bundle_sha256":"a742eb7289bfc51999a5804603ce03b0975485ed8c313d38a9729f87f22fc701"}}