{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:NCCX2DJMM7ZMGVWZIH4OIETAZR","short_pith_number":"pith:NCCX2DJM","schema_version":"1.0","canonical_sha256":"68857d0d2c67f2c356d941f8e41260cc6b6c589d1981721d49b9609fd9e158ad","source":{"kind":"arxiv","id":"1705.04758","version":1},"attestation_state":"computed","paper":{"title":"$p$-Adic Mathematical Physics: The First 30 Years","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","q-bio.OT"],"primary_cat":"math-ph","authors_text":"A. Yu. Khrennikov, B. Dragovich, E. I. Zelenov, I. V. Volovich, S. V. Kozyrev","submitted_at":"2017-05-12T21:38:48Z","abstract_excerpt":"$p$-Adic mathematical physics is a branch of modern mathematical physics based on the application of $p$-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale, but then was extended to many other areas including biology. This paper contains a brief review of main achievements in some selected topics of $p$-adic mathematical physics and its applications, especially in the last decade. Attention is mainly paid to developments with promising future "},"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":"1705.04758","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-12T21:38:48Z","cross_cats_sorted":["hep-th","math.MP","q-bio.OT"],"title_canon_sha256":"4eedcdaf84083d2943fb662b98b6092b19e4b3fe046ccf7ffd8b0909c920048e","abstract_canon_sha256":"e06da708347c7fbf26c80ac289b31b893a495fddfb01b8277a691ecce7ec3573"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:34.751837Z","signature_b64":"+y/M0NIWfOxNNG1vrWLlO4lkzqKrYN4au9OTrGDVviJsZNrpQoRaR3Zq+bgLFQJk+sEpYNv8+WnYlYS0gx3aDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68857d0d2c67f2c356d941f8e41260cc6b6c589d1981721d49b9609fd9e158ad","last_reissued_at":"2026-05-18T00:44:34.751125Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:34.751125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$p$-Adic Mathematical Physics: The First 30 Years","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","q-bio.OT"],"primary_cat":"math-ph","authors_text":"A. Yu. Khrennikov, B. Dragovich, E. I. Zelenov, I. V. Volovich, S. V. Kozyrev","submitted_at":"2017-05-12T21:38:48Z","abstract_excerpt":"$p$-Adic mathematical physics is a branch of modern mathematical physics based on the application of $p$-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale, but then was extended to many other areas including biology. This paper contains a brief review of main achievements in some selected topics of $p$-adic mathematical physics and its applications, especially in the last decade. Attention is mainly paid to developments with promising future "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04758","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":""},"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":"1705.04758","created_at":"2026-05-18T00:44:34.751238+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.04758v1","created_at":"2026-05-18T00:44:34.751238+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04758","created_at":"2026-05-18T00:44:34.751238+00:00"},{"alias_kind":"pith_short_12","alias_value":"NCCX2DJMM7ZM","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"NCCX2DJMM7ZMGVWZ","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"NCCX2DJM","created_at":"2026-05-18T12:31:31.346846+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/NCCX2DJMM7ZMGVWZIH4OIETAZR","json":"https://pith.science/pith/NCCX2DJMM7ZMGVWZIH4OIETAZR.json","graph_json":"https://pith.science/api/pith-number/NCCX2DJMM7ZMGVWZIH4OIETAZR/graph.json","events_json":"https://pith.science/api/pith-number/NCCX2DJMM7ZMGVWZIH4OIETAZR/events.json","paper":"https://pith.science/paper/NCCX2DJM"},"agent_actions":{"view_html":"https://pith.science/pith/NCCX2DJMM7ZMGVWZIH4OIETAZR","download_json":"https://pith.science/pith/NCCX2DJMM7ZMGVWZIH4OIETAZR.json","view_paper":"https://pith.science/paper/NCCX2DJM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.04758&json=true","fetch_graph":"https://pith.science/api/pith-number/NCCX2DJMM7ZMGVWZIH4OIETAZR/graph.json","fetch_events":"https://pith.science/api/pith-number/NCCX2DJMM7ZMGVWZIH4OIETAZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NCCX2DJMM7ZMGVWZIH4OIETAZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NCCX2DJMM7ZMGVWZIH4OIETAZR/action/storage_attestation","attest_author":"https://pith.science/pith/NCCX2DJMM7ZMGVWZIH4OIETAZR/action/author_attestation","sign_citation":"https://pith.science/pith/NCCX2DJMM7ZMGVWZIH4OIETAZR/action/citation_signature","submit_replication":"https://pith.science/pith/NCCX2DJMM7ZMGVWZIH4OIETAZR/action/replication_record"}},"created_at":"2026-05-18T00:44:34.751238+00:00","updated_at":"2026-05-18T00:44:34.751238+00:00"}