{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:AZD4EK7PF6P4YCYDJOKSPDHRUK","short_pith_number":"pith:AZD4EK7P","schema_version":"1.0","canonical_sha256":"0647c22bef2f9fcc0b034b95278cf1a2926a80534e2982e810d3dbf243d0dfb6","source":{"kind":"arxiv","id":"1908.09631","version":5},"attestation_state":"computed","paper":{"title":"A combinatorial derivation of the standard model interactions from the Dirac Lagrangian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Charlie Beil","submitted_at":"2019-08-21T07:52:31Z","abstract_excerpt":"A composite model of the standard model particles was recently derived using the Dirac Lagrangian on a spacetime where time does not advance along the worldlines of fundamental dust particles, called an 'internal spacetime'. The aim of internal spacetime geometry is to model certain quantum phenomena using (classical) degenerate spacetime metrics. For example, on an internal spacetime, tangent spaces have variable dimension, and spin wavefunction collapse is modeled by the projection from one tangent space to another. In this article we show that the combinatorial structure of the internal Dir"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.09631","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2019-08-21T07:52:31Z","cross_cats_sorted":[],"title_canon_sha256":"3b3ad9dd70808c548292d80c10c875e2141f97a2f39f0fd2bc465775e14d0fea","abstract_canon_sha256":"9cafa3d58eac4b0f750071d3d32ce04d3171bf5d8cabf8cbadd5c793b12f2963"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:53:45.482080Z","signature_b64":"HMtLdooJf1G1iWXjpJkLRuVdQy0gBLDxezGqCMqFGPrqb60eNbvV7JmHspkL3Zi4dPmSKlEhkahBLVU7741gCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0647c22bef2f9fcc0b034b95278cf1a2926a80534e2982e810d3dbf243d0dfb6","last_reissued_at":"2026-07-05T05:53:45.481690Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:53:45.481690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A combinatorial derivation of the standard model interactions from the Dirac Lagrangian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Charlie Beil","submitted_at":"2019-08-21T07:52:31Z","abstract_excerpt":"A composite model of the standard model particles was recently derived using the Dirac Lagrangian on a spacetime where time does not advance along the worldlines of fundamental dust particles, called an 'internal spacetime'. The aim of internal spacetime geometry is to model certain quantum phenomena using (classical) degenerate spacetime metrics. For example, on an internal spacetime, tangent spaces have variable dimension, and spin wavefunction collapse is modeled by the projection from one tangent space to another. In this article we show that the combinatorial structure of the internal Dir"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09631","kind":"arxiv","version":5},"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/1908.09631/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.09631","created_at":"2026-07-05T05:53:45.481744+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.09631v5","created_at":"2026-07-05T05:53:45.481744+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09631","created_at":"2026-07-05T05:53:45.481744+00:00"},{"alias_kind":"pith_short_12","alias_value":"AZD4EK7PF6P4","created_at":"2026-07-05T05:53:45.481744+00:00"},{"alias_kind":"pith_short_16","alias_value":"AZD4EK7PF6P4YCYD","created_at":"2026-07-05T05:53:45.481744+00:00"},{"alias_kind":"pith_short_8","alias_value":"AZD4EK7P","created_at":"2026-07-05T05:53:45.481744+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AZD4EK7PF6P4YCYDJOKSPDHRUK","json":"https://pith.science/pith/AZD4EK7PF6P4YCYDJOKSPDHRUK.json","graph_json":"https://pith.science/api/pith-number/AZD4EK7PF6P4YCYDJOKSPDHRUK/graph.json","events_json":"https://pith.science/api/pith-number/AZD4EK7PF6P4YCYDJOKSPDHRUK/events.json","paper":"https://pith.science/paper/AZD4EK7P"},"agent_actions":{"view_html":"https://pith.science/pith/AZD4EK7PF6P4YCYDJOKSPDHRUK","download_json":"https://pith.science/pith/AZD4EK7PF6P4YCYDJOKSPDHRUK.json","view_paper":"https://pith.science/paper/AZD4EK7P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.09631&json=true","fetch_graph":"https://pith.science/api/pith-number/AZD4EK7PF6P4YCYDJOKSPDHRUK/graph.json","fetch_events":"https://pith.science/api/pith-number/AZD4EK7PF6P4YCYDJOKSPDHRUK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AZD4EK7PF6P4YCYDJOKSPDHRUK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AZD4EK7PF6P4YCYDJOKSPDHRUK/action/storage_attestation","attest_author":"https://pith.science/pith/AZD4EK7PF6P4YCYDJOKSPDHRUK/action/author_attestation","sign_citation":"https://pith.science/pith/AZD4EK7PF6P4YCYDJOKSPDHRUK/action/citation_signature","submit_replication":"https://pith.science/pith/AZD4EK7PF6P4YCYDJOKSPDHRUK/action/replication_record"}},"created_at":"2026-07-05T05:53:45.481744+00:00","updated_at":"2026-07-05T05:53:45.481744+00:00"}