{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:LJLCAEBHBG2XMQ44UTREWIVBI3","short_pith_number":"pith:LJLCAEBH","canonical_record":{"source":{"id":"1509.03095","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-10T11:06:10Z","cross_cats_sorted":[],"title_canon_sha256":"c0bfe31a54959e65cdf489b059f0c948cde4c05329d7790e90f78e132d70d437","abstract_canon_sha256":"99f48b6e1295c5d01ebf11ac46c4fc6a3373ac983013adf34a21f73ff32261c8"},"schema_version":"1.0"},"canonical_sha256":"5a5620102709b576439ca4e24b22a146e05cbefb0cae2c0e35f9f79f2fbc0a86","source":{"kind":"arxiv","id":"1509.03095","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03095","created_at":"2026-07-05T05:57:08Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03095v2","created_at":"2026-07-05T05:57:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03095","created_at":"2026-07-05T05:57:08Z"},{"alias_kind":"pith_short_12","alias_value":"LJLCAEBHBG2X","created_at":"2026-07-05T05:57:08Z"},{"alias_kind":"pith_short_16","alias_value":"LJLCAEBHBG2XMQ44","created_at":"2026-07-05T05:57:08Z"},{"alias_kind":"pith_short_8","alias_value":"LJLCAEBH","created_at":"2026-07-05T05:57:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:LJLCAEBHBG2XMQ44UTREWIVBI3","target":"record","payload":{"canonical_record":{"source":{"id":"1509.03095","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-10T11:06:10Z","cross_cats_sorted":[],"title_canon_sha256":"c0bfe31a54959e65cdf489b059f0c948cde4c05329d7790e90f78e132d70d437","abstract_canon_sha256":"99f48b6e1295c5d01ebf11ac46c4fc6a3373ac983013adf34a21f73ff32261c8"},"schema_version":"1.0"},"canonical_sha256":"5a5620102709b576439ca4e24b22a146e05cbefb0cae2c0e35f9f79f2fbc0a86","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:57:08.166812Z","signature_b64":"6AKh6xleRLeOjIuK0tckmi4GfGe4NYVVfSZvnNq6O8wx2R67jsKlJgr1O2ZcqchwCTXp1b/mesPub+fw2ZjoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a5620102709b576439ca4e24b22a146e05cbefb0cae2c0e35f9f79f2fbc0a86","last_reissued_at":"2026-07-05T05:57:08.166417Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:57:08.166417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.03095","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":"2026-07-05T05:57:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4BeVsf7Nqk1CUcUDv7prdG3yxbbECwY5HapkudVNnRa1dPyUQJGR4TTkyxZDaU64PBwZjhLqWb9hIzMJH5r+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T18:49:45.363782Z"},"content_sha256":"c92a0b0dc250f4cee42b1a85d3d7d594d22c71e15124b86ee9a1dec5f7e87c05","schema_version":"1.0","event_id":"sha256:c92a0b0dc250f4cee42b1a85d3d7d594d22c71e15124b86ee9a1dec5f7e87c05"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:LJLCAEBHBG2XMQ44UTREWIVBI3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Causal Space-Times on a Null Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Martin Schaden","submitted_at":"2015-09-10T11:06:10Z","abstract_excerpt":"I investigate a discrete model of quantum gravity on a causal null-lattice with \\SLC structure group. The description is geometric and foliates in a causal and physically transparent manner. The general observables of this model are constructed from local Lorentz symmetry considerations only. For smooth configurations, the local lattice actions reduce to the Hilbert-Palatini action, a cosmological term and the three topological terms of dimension four of Pontyagin, Euler and Nieh-Yan. Consistency conditions for a topologically hypercubic complex with null 4-simplexes are derived and a topologi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03095","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/1509.03095/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":"2026-07-05T05:57:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wkP2uRe+j4q3chgEFGmycqjkRkDMw1W611MPi2FLbMo23AlZi+jaq8+WT1YaTeJhOeo6mFQAmPL9LNnxE4sMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T18:49:45.364673Z"},"content_sha256":"aea51af791e9fa3388564a972fc4a1551cce03b63e88537276e0843c9db57b77","schema_version":"1.0","event_id":"sha256:aea51af791e9fa3388564a972fc4a1551cce03b63e88537276e0843c9db57b77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LJLCAEBHBG2XMQ44UTREWIVBI3/bundle.json","state_url":"https://pith.science/pith/LJLCAEBHBG2XMQ44UTREWIVBI3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LJLCAEBHBG2XMQ44UTREWIVBI3/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":"2026-08-15T18:49:45Z","links":{"resolver":"https://pith.science/pith/LJLCAEBHBG2XMQ44UTREWIVBI3","bundle":"https://pith.science/pith/LJLCAEBHBG2XMQ44UTREWIVBI3/bundle.json","state":"https://pith.science/pith/LJLCAEBHBG2XMQ44UTREWIVBI3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LJLCAEBHBG2XMQ44UTREWIVBI3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LJLCAEBHBG2XMQ44UTREWIVBI3","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":"99f48b6e1295c5d01ebf11ac46c4fc6a3373ac983013adf34a21f73ff32261c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-10T11:06:10Z","title_canon_sha256":"c0bfe31a54959e65cdf489b059f0c948cde4c05329d7790e90f78e132d70d437"},"schema_version":"1.0","source":{"id":"1509.03095","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03095","created_at":"2026-07-05T05:57:08Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03095v2","created_at":"2026-07-05T05:57:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03095","created_at":"2026-07-05T05:57:08Z"},{"alias_kind":"pith_short_12","alias_value":"LJLCAEBHBG2X","created_at":"2026-07-05T05:57:08Z"},{"alias_kind":"pith_short_16","alias_value":"LJLCAEBHBG2XMQ44","created_at":"2026-07-05T05:57:08Z"},{"alias_kind":"pith_short_8","alias_value":"LJLCAEBH","created_at":"2026-07-05T05:57:08Z"}],"graph_snapshots":[{"event_id":"sha256:aea51af791e9fa3388564a972fc4a1551cce03b63e88537276e0843c9db57b77","target":"graph","created_at":"2026-07-05T05:57:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1509.03095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"I investigate a discrete model of quantum gravity on a causal null-lattice with \\SLC structure group. The description is geometric and foliates in a causal and physically transparent manner. The general observables of this model are constructed from local Lorentz symmetry considerations only. For smooth configurations, the local lattice actions reduce to the Hilbert-Palatini action, a cosmological term and the three topological terms of dimension four of Pontyagin, Euler and Nieh-Yan. Consistency conditions for a topologically hypercubic complex with null 4-simplexes are derived and a topologi","authors_text":"Martin Schaden","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-10T11:06:10Z","title":"Causal Space-Times on a Null Lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03095","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:c92a0b0dc250f4cee42b1a85d3d7d594d22c71e15124b86ee9a1dec5f7e87c05","target":"record","created_at":"2026-07-05T05:57:08Z","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":"99f48b6e1295c5d01ebf11ac46c4fc6a3373ac983013adf34a21f73ff32261c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-10T11:06:10Z","title_canon_sha256":"c0bfe31a54959e65cdf489b059f0c948cde4c05329d7790e90f78e132d70d437"},"schema_version":"1.0","source":{"id":"1509.03095","kind":"arxiv","version":2}},"canonical_sha256":"5a5620102709b576439ca4e24b22a146e05cbefb0cae2c0e35f9f79f2fbc0a86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a5620102709b576439ca4e24b22a146e05cbefb0cae2c0e35f9f79f2fbc0a86","first_computed_at":"2026-07-05T05:57:08.166417Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:57:08.166417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6AKh6xleRLeOjIuK0tckmi4GfGe4NYVVfSZvnNq6O8wx2R67jsKlJgr1O2ZcqchwCTXp1b/mesPub+fw2ZjoAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:57:08.166812Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03095","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c92a0b0dc250f4cee42b1a85d3d7d594d22c71e15124b86ee9a1dec5f7e87c05","sha256:aea51af791e9fa3388564a972fc4a1551cce03b63e88537276e0843c9db57b77"],"state_sha256":"801978f755f57a1372012abc0c2a0fdb0e72701ca309ef00ae23f78a7cfb4064"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NHmvbN/F+t69B8Gnp1124KewCjjquAcvSlnSZGxDanVDnX3O/F+1zcGdhEOVDAV03ESs8pdjwyvH1W4PvWw5DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T18:49:45.368960Z","bundle_sha256":"434ccd9d23de09d4e7e8bf10b0da795351f6535df100d54b5164a63127d4561d"}}