{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:TVGJSRIRLI3NRQ7IZKURADHDGH","short_pith_number":"pith:TVGJSRIR","schema_version":"1.0","canonical_sha256":"9d4c9945115a36d8c3e8caa9100ce331fef0756ebd9b42cb0f3182e91fbed6fc","source":{"kind":"arxiv","id":"2505.06716","version":1},"attestation_state":"computed","paper":{"title":"Approximate Minimal SU(5), Several Fundamental Scales, Fluctuating Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Holger Bech Nielsen","submitted_at":"2025-05-10T17:44:50Z","abstract_excerpt":"Having shortly reviewed our idea of the grand unified SU(5) being only exact in a classical limit, in a truly existing lattice, an ontological lattice, we go over to putting a series of different physical energy scales such the approximate unification scale for the SU(5)(without any SUSY), the Planck scale, and e.g. the scale of see-saw neutrino masses into a certain plot showing the energy scales on a straight line. This straight line of this plot supposed to result from such an ontological lattice, that fluctuates in link size a and lattice density in a very strong way according to a log nor"},"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":"2505.06716","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-05-10T17:44:50Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"c4820bba66e160e087534d003dca872456a106926821f48710c4652c6d7b4cee","abstract_canon_sha256":"e0668384126d5f4b4fa063dbc12ed40aa92d491ef1fed4e1a340f33618c49d7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:01:14.867672Z","signature_b64":"WE4TOTYYYoG6c4TNY0BSV56L4e6HXI8CnfWVxOqNesIjfoDLcB6l6X0u+RpIDBjwrsp3jVpd8W2wKvamdYYiDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d4c9945115a36d8c3e8caa9100ce331fef0756ebd9b42cb0f3182e91fbed6fc","last_reissued_at":"2026-07-05T11:01:14.867111Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:01:14.867111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximate Minimal SU(5), Several Fundamental Scales, Fluctuating Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Holger Bech Nielsen","submitted_at":"2025-05-10T17:44:50Z","abstract_excerpt":"Having shortly reviewed our idea of the grand unified SU(5) being only exact in a classical limit, in a truly existing lattice, an ontological lattice, we go over to putting a series of different physical energy scales such the approximate unification scale for the SU(5)(without any SUSY), the Planck scale, and e.g. the scale of see-saw neutrino masses into a certain plot showing the energy scales on a straight line. This straight line of this plot supposed to result from such an ontological lattice, that fluctuates in link size a and lattice density in a very strong way according to a log nor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.06716","kind":"arxiv","version":1},"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/2505.06716/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":"2505.06716","created_at":"2026-07-05T11:01:14.867178+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.06716v1","created_at":"2026-07-05T11:01:14.867178+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.06716","created_at":"2026-07-05T11:01:14.867178+00:00"},{"alias_kind":"pith_short_12","alias_value":"TVGJSRIRLI3N","created_at":"2026-07-05T11:01:14.867178+00:00"},{"alias_kind":"pith_short_16","alias_value":"TVGJSRIRLI3NRQ7I","created_at":"2026-07-05T11:01:14.867178+00:00"},{"alias_kind":"pith_short_8","alias_value":"TVGJSRIR","created_at":"2026-07-05T11:01:14.867178+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/TVGJSRIRLI3NRQ7IZKURADHDGH","json":"https://pith.science/pith/TVGJSRIRLI3NRQ7IZKURADHDGH.json","graph_json":"https://pith.science/api/pith-number/TVGJSRIRLI3NRQ7IZKURADHDGH/graph.json","events_json":"https://pith.science/api/pith-number/TVGJSRIRLI3NRQ7IZKURADHDGH/events.json","paper":"https://pith.science/paper/TVGJSRIR"},"agent_actions":{"view_html":"https://pith.science/pith/TVGJSRIRLI3NRQ7IZKURADHDGH","download_json":"https://pith.science/pith/TVGJSRIRLI3NRQ7IZKURADHDGH.json","view_paper":"https://pith.science/paper/TVGJSRIR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.06716&json=true","fetch_graph":"https://pith.science/api/pith-number/TVGJSRIRLI3NRQ7IZKURADHDGH/graph.json","fetch_events":"https://pith.science/api/pith-number/TVGJSRIRLI3NRQ7IZKURADHDGH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TVGJSRIRLI3NRQ7IZKURADHDGH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TVGJSRIRLI3NRQ7IZKURADHDGH/action/storage_attestation","attest_author":"https://pith.science/pith/TVGJSRIRLI3NRQ7IZKURADHDGH/action/author_attestation","sign_citation":"https://pith.science/pith/TVGJSRIRLI3NRQ7IZKURADHDGH/action/citation_signature","submit_replication":"https://pith.science/pith/TVGJSRIRLI3NRQ7IZKURADHDGH/action/replication_record"}},"created_at":"2026-07-05T11:01:14.867178+00:00","updated_at":"2026-07-05T11:01:14.867178+00:00"}