{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:L3PUZKKPTD4U2BDNNB7PRE3BNE","short_pith_number":"pith:L3PUZKKP","canonical_record":{"source":{"id":"hep-th/0310166","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-10-17T15:59:58Z","cross_cats_sorted":["gr-qc","hep-lat","math-ph","math.MP","quant-ph"],"title_canon_sha256":"2db22df017be35cee257cb31705f3415126f42529e800ca12333926b07af0834","abstract_canon_sha256":"3aab52bb4f3109c7df7bfb6c779d6c2820b2f6611072d2d69660b8b096bea611"},"schema_version":"1.0"},"canonical_sha256":"5edf4ca94f98f94d046d687ef89361693e29baa0627417f1d3d079bd30a52d93","source":{"kind":"arxiv","id":"hep-th/0310166","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0310166","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0310166v2","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0310166","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_12","alias_value":"L3PUZKKPTD4U","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_16","alias_value":"L3PUZKKPTD4U2BDN","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_8","alias_value":"L3PUZKKP","created_at":"2026-07-04T14:32:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:L3PUZKKPTD4U2BDNNB7PRE3BNE","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0310166","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-10-17T15:59:58Z","cross_cats_sorted":["gr-qc","hep-lat","math-ph","math.MP","quant-ph"],"title_canon_sha256":"2db22df017be35cee257cb31705f3415126f42529e800ca12333926b07af0834","abstract_canon_sha256":"3aab52bb4f3109c7df7bfb6c779d6c2820b2f6611072d2d69660b8b096bea611"},"schema_version":"1.0"},"canonical_sha256":"5edf4ca94f98f94d046d687ef89361693e29baa0627417f1d3d079bd30a52d93","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:32:09.125170Z","signature_b64":"FPQpHciiWK3mAGxYTazJbisA804UXh+UZWyAXj6yGnRIztYzmfdqCsr1vSzOYqcwyg94Xxp1te/aZXOoo1acBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5edf4ca94f98f94d046d687ef89361693e29baa0627417f1d3d079bd30a52d93","last_reissued_at":"2026-07-04T14:32:09.124781Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:32:09.124781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0310166","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":"2026-07-04T14:32:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bEdXTgqTTM6fEcVzH51BzTJcHL3bUToF6CjVGZD8bPK6hOOOZfIxZrhQVDldcMD8zWN5KbxLGp8jeXnOoW0+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T18:33:00.118305Z"},"content_sha256":"955ca17b62392076e68b5bf116e2567a6b36bc8b7dd556025137b8ad21a247b4","schema_version":"1.0","event_id":"sha256:955ca17b62392076e68b5bf116e2567a6b36bc8b7dd556025137b8ad21a247b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:L3PUZKKPTD4U2BDNNB7PRE3BNE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Propagating spinors on a tetrahedral spacetime lattice","license":"","headline":"","cross_cats":["gr-qc","hep-lat","math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Brendan Z. Foster, Ted Jacobson","submitted_at":"2003-10-17T15:59:58Z","abstract_excerpt":"We derive a discrete path integral for massless fermions on a hypercubic spacetime lattice with null faces. The amplitude for a path with N steps and B bends is +/- (1/2)^N (i/sqrt{3})^B."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0310166","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/hep-th/0310166/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":"2026-07-04T14:32:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DohZsmooAR2DeRbZjiP3tG30dRrTLp7qQwxym6qDpApNTIeuvu7LLb8Np+dOUbQ2qNAXWzn0Y5K5R7K5GVfiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T18:33:00.118704Z"},"content_sha256":"1edea788b9d2848ee7d79d76b2cd2f1d39cc8f7b269cfb79b589f3e51d751d0d","schema_version":"1.0","event_id":"sha256:1edea788b9d2848ee7d79d76b2cd2f1d39cc8f7b269cfb79b589f3e51d751d0d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L3PUZKKPTD4U2BDNNB7PRE3BNE/bundle.json","state_url":"https://pith.science/pith/L3PUZKKPTD4U2BDNNB7PRE3BNE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L3PUZKKPTD4U2BDNNB7PRE3BNE/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":"2026-07-04T18:33:00Z","links":{"resolver":"https://pith.science/pith/L3PUZKKPTD4U2BDNNB7PRE3BNE","bundle":"https://pith.science/pith/L3PUZKKPTD4U2BDNNB7PRE3BNE/bundle.json","state":"https://pith.science/pith/L3PUZKKPTD4U2BDNNB7PRE3BNE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L3PUZKKPTD4U2BDNNB7PRE3BNE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:L3PUZKKPTD4U2BDNNB7PRE3BNE","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":"3aab52bb4f3109c7df7bfb6c779d6c2820b2f6611072d2d69660b8b096bea611","cross_cats_sorted":["gr-qc","hep-lat","math-ph","math.MP","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-10-17T15:59:58Z","title_canon_sha256":"2db22df017be35cee257cb31705f3415126f42529e800ca12333926b07af0834"},"schema_version":"1.0","source":{"id":"hep-th/0310166","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0310166","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0310166v2","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0310166","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_12","alias_value":"L3PUZKKPTD4U","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_16","alias_value":"L3PUZKKPTD4U2BDN","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_8","alias_value":"L3PUZKKP","created_at":"2026-07-04T14:32:09Z"}],"graph_snapshots":[{"event_id":"sha256:1edea788b9d2848ee7d79d76b2cd2f1d39cc8f7b269cfb79b589f3e51d751d0d","target":"graph","created_at":"2026-07-04T14:32:09Z","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/hep-th/0310166/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a discrete path integral for massless fermions on a hypercubic spacetime lattice with null faces. The amplitude for a path with N steps and B bends is +/- (1/2)^N (i/sqrt{3})^B.","authors_text":"Brendan Z. Foster, Ted Jacobson","cross_cats":["gr-qc","hep-lat","math-ph","math.MP","quant-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-10-17T15:59:58Z","title":"Propagating spinors on a tetrahedral spacetime lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0310166","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":"sha256:955ca17b62392076e68b5bf116e2567a6b36bc8b7dd556025137b8ad21a247b4","target":"record","created_at":"2026-07-04T14:32:09Z","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":"3aab52bb4f3109c7df7bfb6c779d6c2820b2f6611072d2d69660b8b096bea611","cross_cats_sorted":["gr-qc","hep-lat","math-ph","math.MP","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-10-17T15:59:58Z","title_canon_sha256":"2db22df017be35cee257cb31705f3415126f42529e800ca12333926b07af0834"},"schema_version":"1.0","source":{"id":"hep-th/0310166","kind":"arxiv","version":2}},"canonical_sha256":"5edf4ca94f98f94d046d687ef89361693e29baa0627417f1d3d079bd30a52d93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5edf4ca94f98f94d046d687ef89361693e29baa0627417f1d3d079bd30a52d93","first_computed_at":"2026-07-04T14:32:09.124781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:32:09.124781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FPQpHciiWK3mAGxYTazJbisA804UXh+UZWyAXj6yGnRIztYzmfdqCsr1vSzOYqcwyg94Xxp1te/aZXOoo1acBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:32:09.125170Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0310166","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:955ca17b62392076e68b5bf116e2567a6b36bc8b7dd556025137b8ad21a247b4","sha256:1edea788b9d2848ee7d79d76b2cd2f1d39cc8f7b269cfb79b589f3e51d751d0d"],"state_sha256":"ebeb1962489429eed27087c25affc5148ea48058d5105c17e8edb795634dfd9b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MIsYyERv0sVKAhOl+ejcHAWh1ZQmFo47nUkJ5UeLYW96hfCOzKtNBdgdq0oY3/JqFmYHhljdwcCgC19O+KGPBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T18:33:00.120796Z","bundle_sha256":"d6d524403b388636a38ccd030d7909aa189afc62cfbc9c1785eea44719ad980c"}}