{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:IZFA4HMTWJF34SAGPPXQOIEVEW","short_pith_number":"pith:IZFA4HMT","canonical_record":{"source":{"id":"0712.0685","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2007-12-05T10:46:01Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"5c3443d50e90dd61bfb7e1ae66b47c39383f4a8219970f22a51d75d22b1bcbfb","abstract_canon_sha256":"24714db83c204530794ab6e4b9e0fd58e075cdf68d46f86d1982296d401cce4f"},"schema_version":"1.0"},"canonical_sha256":"464a0e1d93b24bbe48067bef072095258b52bc97e99dbde00115e9be61d999c4","source":{"kind":"arxiv","id":"0712.0685","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.0685","created_at":"2026-05-18T02:16:08Z"},{"alias_kind":"arxiv_version","alias_value":"0712.0685v2","created_at":"2026-05-18T02:16:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.0685","created_at":"2026-05-18T02:16:08Z"},{"alias_kind":"pith_short_12","alias_value":"IZFA4HMTWJF3","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"IZFA4HMTWJF34SAG","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"IZFA4HMT","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:IZFA4HMTWJF34SAGPPXQOIEVEW","target":"record","payload":{"canonical_record":{"source":{"id":"0712.0685","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2007-12-05T10:46:01Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"5c3443d50e90dd61bfb7e1ae66b47c39383f4a8219970f22a51d75d22b1bcbfb","abstract_canon_sha256":"24714db83c204530794ab6e4b9e0fd58e075cdf68d46f86d1982296d401cce4f"},"schema_version":"1.0"},"canonical_sha256":"464a0e1d93b24bbe48067bef072095258b52bc97e99dbde00115e9be61d999c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:08.779846Z","signature_b64":"Du3l4ikZbDAhossvLeH2RGnXOwO1cLlwgb3HPeeID+ljQ0ggpgsp3edZOAzMIxv0aaJi9CtkLhBH6NlFP3azCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"464a0e1d93b24bbe48067bef072095258b52bc97e99dbde00115e9be61d999c4","last_reissued_at":"2026-05-18T02:16:08.779136Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:08.779136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0712.0685","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":"2026-05-18T02:16:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RX+HVrREERLnAUrc1IsB2ST/E1MfOISS2neWi4r/v3XpgLRvgmfjm1lW9q322rnZyU10x1a+gGKrefsiT9LEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:29:16.866355Z"},"content_sha256":"850133e55a05fda30d618db5c1f61098a590d0e8cad6ccbafe00fba705a68058","schema_version":"1.0","event_id":"sha256:850133e55a05fda30d618db5c1f61098a590d0e8cad6ccbafe00fba705a68058"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:IZFA4HMTWJF34SAGPPXQOIEVEW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Felix Finster","submitted_at":"2007-12-05T10:46:01Z","abstract_excerpt":"This survey article reviews recent results on fermion system in discrete space-time and corresponding systems in Minkowski space. After a basic introduction to the discrete setting, we explain a mechanism of spontaneous symmetry breaking which leads to the emergence of a discrete causal structure. As methods to study the transition between discrete space-time and Minkowski space, we describe a lattice model for a static and isotropic space-time, outline the analysis of regularization tails of vacuum Dirac sea configurations, and introduce a Lorentz invariant action for the masses of the Dirac "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.0685","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":""},"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":"2026-05-18T02:16:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6zjz1x6aOzYSz1yRpTclFIZ2BoaZcjqFW4zDaahqj/5Z1Yp5lz71aJHRnjeyv78fqbNRk1kTMAiYaf+epMTaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:29:16.866706Z"},"content_sha256":"8a026866c46c4c123f66b6db04d1b6077f593c00208c6fbc71945d478d951dc8","schema_version":"1.0","event_id":"sha256:8a026866c46c4c123f66b6db04d1b6077f593c00208c6fbc71945d478d951dc8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IZFA4HMTWJF34SAGPPXQOIEVEW/bundle.json","state_url":"https://pith.science/pith/IZFA4HMTWJF34SAGPPXQOIEVEW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IZFA4HMTWJF34SAGPPXQOIEVEW/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":"2026-06-01T16:29:16Z","links":{"resolver":"https://pith.science/pith/IZFA4HMTWJF34SAGPPXQOIEVEW","bundle":"https://pith.science/pith/IZFA4HMTWJF34SAGPPXQOIEVEW/bundle.json","state":"https://pith.science/pith/IZFA4HMTWJF34SAGPPXQOIEVEW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IZFA4HMTWJF34SAGPPXQOIEVEW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:IZFA4HMTWJF34SAGPPXQOIEVEW","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":"24714db83c204530794ab6e4b9e0fd58e075cdf68d46f86d1982296d401cce4f","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2007-12-05T10:46:01Z","title_canon_sha256":"5c3443d50e90dd61bfb7e1ae66b47c39383f4a8219970f22a51d75d22b1bcbfb"},"schema_version":"1.0","source":{"id":"0712.0685","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.0685","created_at":"2026-05-18T02:16:08Z"},{"alias_kind":"arxiv_version","alias_value":"0712.0685v2","created_at":"2026-05-18T02:16:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.0685","created_at":"2026-05-18T02:16:08Z"},{"alias_kind":"pith_short_12","alias_value":"IZFA4HMTWJF3","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"IZFA4HMTWJF34SAG","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"IZFA4HMT","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:8a026866c46c4c123f66b6db04d1b6077f593c00208c6fbc71945d478d951dc8","target":"graph","created_at":"2026-05-18T02:16:08Z","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":"This survey article reviews recent results on fermion system in discrete space-time and corresponding systems in Minkowski space. After a basic introduction to the discrete setting, we explain a mechanism of spontaneous symmetry breaking which leads to the emergence of a discrete causal structure. As methods to study the transition between discrete space-time and Minkowski space, we describe a lattice model for a static and isotropic space-time, outline the analysis of regularization tails of vacuum Dirac sea configurations, and introduce a Lorentz invariant action for the masses of the Dirac ","authors_text":"Felix Finster","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2007-12-05T10:46:01Z","title":"From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.0685","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":"sha256:850133e55a05fda30d618db5c1f61098a590d0e8cad6ccbafe00fba705a68058","target":"record","created_at":"2026-05-18T02:16:08Z","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":"24714db83c204530794ab6e4b9e0fd58e075cdf68d46f86d1982296d401cce4f","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2007-12-05T10:46:01Z","title_canon_sha256":"5c3443d50e90dd61bfb7e1ae66b47c39383f4a8219970f22a51d75d22b1bcbfb"},"schema_version":"1.0","source":{"id":"0712.0685","kind":"arxiv","version":2}},"canonical_sha256":"464a0e1d93b24bbe48067bef072095258b52bc97e99dbde00115e9be61d999c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"464a0e1d93b24bbe48067bef072095258b52bc97e99dbde00115e9be61d999c4","first_computed_at":"2026-05-18T02:16:08.779136Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:08.779136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Du3l4ikZbDAhossvLeH2RGnXOwO1cLlwgb3HPeeID+ljQ0ggpgsp3edZOAzMIxv0aaJi9CtkLhBH6NlFP3azCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:08.779846Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.0685","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:850133e55a05fda30d618db5c1f61098a590d0e8cad6ccbafe00fba705a68058","sha256:8a026866c46c4c123f66b6db04d1b6077f593c00208c6fbc71945d478d951dc8"],"state_sha256":"8f1328ee2ed9aa9cbe0a65cdefc465877c1cb58bf89f5c7da367d4074dc24e66"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"56wW6CtnDSRJPXl2U1R8W6sSFi7t9Ffa0o+gQ4PgPr0Esr2m1GBGWkUz1l9Yl9JXMHha0r2F4ymksKo8SCzBDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:29:16.868573Z","bundle_sha256":"3a6db9c385756cd07293be14f2329de10ca90e1c9c4d65c3844a78465ad9534d"}}