{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QZ3NF67IE5P5OBESE24LDXBFQF","short_pith_number":"pith:QZ3NF67I","schema_version":"1.0","canonical_sha256":"8676d2fbe8275fd7049226b8b1dc25817875b179e50c20c3cf0f33d0b2542fb6","source":{"kind":"arxiv","id":"1705.00539","version":2},"attestation_state":"computed","paper":{"title":"Field patterns without blow up","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.optics"],"primary_cat":"physics.class-ph","authors_text":"Graeme W. Milton, Ornella Mattei","submitted_at":"2017-04-27T21:55:05Z","abstract_excerpt":"Field patterns, first proposed by the authors in [Milton, Mattei. Proc R Soc A. 2017], are orderly patterns of characteristic lines that arise in specific space-time microstructures whose geometry in one spatial dimension plus time is somehow commensurate to the slope of the characteristic lines. In particular, in [Milton, Mattei. Proc R Soc A. 2017] the authors propose two examples of space-time geometries in which field patterns occur: they are two-phase microstructures in which rectangular space-time inclusions of one material are embedded in another material. After a sufficient large perio"},"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":"1705.00539","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2017-04-27T21:55:05Z","cross_cats_sorted":["math-ph","math.MP","physics.optics"],"title_canon_sha256":"7753a271be81732b495a73b0e8e524e7e59ea1a1e4b35fe6282b9e7824a5e2ed","abstract_canon_sha256":"c9d674e735ee974891ec423a7f869f93bc8ab132159ec37f32b1b947f1f14c5a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:10.473426Z","signature_b64":"3LvYMTh4ChFDH4pAx/98ZysAS1uLuQNvEXnGjZ0XiQgrvOHmmTxt04Y7/4bnCATJJeYB4KJDB1JPCSORFS69Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8676d2fbe8275fd7049226b8b1dc25817875b179e50c20c3cf0f33d0b2542fb6","last_reissued_at":"2026-05-18T00:32:10.472747Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:10.472747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Field patterns without blow up","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.optics"],"primary_cat":"physics.class-ph","authors_text":"Graeme W. Milton, Ornella Mattei","submitted_at":"2017-04-27T21:55:05Z","abstract_excerpt":"Field patterns, first proposed by the authors in [Milton, Mattei. Proc R Soc A. 2017], are orderly patterns of characteristic lines that arise in specific space-time microstructures whose geometry in one spatial dimension plus time is somehow commensurate to the slope of the characteristic lines. In particular, in [Milton, Mattei. Proc R Soc A. 2017] the authors propose two examples of space-time geometries in which field patterns occur: they are two-phase microstructures in which rectangular space-time inclusions of one material are embedded in another material. After a sufficient large perio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00539","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.00539","created_at":"2026-05-18T00:32:10.472834+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.00539v2","created_at":"2026-05-18T00:32:10.472834+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00539","created_at":"2026-05-18T00:32:10.472834+00:00"},{"alias_kind":"pith_short_12","alias_value":"QZ3NF67IE5P5","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QZ3NF67IE5P5OBES","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QZ3NF67I","created_at":"2026-05-18T12:31:39.905425+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/QZ3NF67IE5P5OBESE24LDXBFQF","json":"https://pith.science/pith/QZ3NF67IE5P5OBESE24LDXBFQF.json","graph_json":"https://pith.science/api/pith-number/QZ3NF67IE5P5OBESE24LDXBFQF/graph.json","events_json":"https://pith.science/api/pith-number/QZ3NF67IE5P5OBESE24LDXBFQF/events.json","paper":"https://pith.science/paper/QZ3NF67I"},"agent_actions":{"view_html":"https://pith.science/pith/QZ3NF67IE5P5OBESE24LDXBFQF","download_json":"https://pith.science/pith/QZ3NF67IE5P5OBESE24LDXBFQF.json","view_paper":"https://pith.science/paper/QZ3NF67I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.00539&json=true","fetch_graph":"https://pith.science/api/pith-number/QZ3NF67IE5P5OBESE24LDXBFQF/graph.json","fetch_events":"https://pith.science/api/pith-number/QZ3NF67IE5P5OBESE24LDXBFQF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QZ3NF67IE5P5OBESE24LDXBFQF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QZ3NF67IE5P5OBESE24LDXBFQF/action/storage_attestation","attest_author":"https://pith.science/pith/QZ3NF67IE5P5OBESE24LDXBFQF/action/author_attestation","sign_citation":"https://pith.science/pith/QZ3NF67IE5P5OBESE24LDXBFQF/action/citation_signature","submit_replication":"https://pith.science/pith/QZ3NF67IE5P5OBESE24LDXBFQF/action/replication_record"}},"created_at":"2026-05-18T00:32:10.472834+00:00","updated_at":"2026-05-18T00:32:10.472834+00:00"}