{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZRD437X2TQNWUFCGACYB7BI4ML","short_pith_number":"pith:ZRD437X2","schema_version":"1.0","canonical_sha256":"cc47cdfefa9c1b6a144600b01f851c62e88ec4303bf60096636b5def0e3497c3","source":{"kind":"arxiv","id":"1602.08083","version":2},"attestation_state":"computed","paper":{"title":"Physical and invariant models for defect network evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-th"],"primary_cat":"hep-ph","authors_text":"C. J. A. P. Martins, M. M. P. V. P. Cabral","submitted_at":"2016-02-25T20:47:23Z","abstract_excerpt":"We revisit the velocity-dependent one-scale model for topological defect evolution, and present a new alternative formulation in terms of a physical (rather than invariant) characteristic length scale. While the two approaches are equivalent (as we explicitly demonstrate), the new one is particularly relevant when studying the evolution of ultra-relativistic defects. Moreover, a comparison of the two provides further insight on the interpretation of the model's two phenomenological parameters, $c$ related to energy losses and $k$ related to the curvature of the defects. As an illustration of t"},"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":"1602.08083","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-02-25T20:47:23Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-th"],"title_canon_sha256":"b65ca6c2c6c71b0c4816ddfffbac529aeb8396a76509b354b1a33fb66dfd9620","abstract_canon_sha256":"98f2349f774b90853f56ccd43c96e6375e040a31b3b101b49e518da78bc15169"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:24.045355Z","signature_b64":"TgMmxwdsULXUHJIpot9blfxK11zPBr64yTINvGUvmBzyqOwAqPDwqz8vgBEegmvItDTDv/cBKpYYOmRymle3Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc47cdfefa9c1b6a144600b01f851c62e88ec4303bf60096636b5def0e3497c3","last_reissued_at":"2026-05-18T01:19:24.044858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:24.044858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Physical and invariant models for defect network evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-th"],"primary_cat":"hep-ph","authors_text":"C. J. A. P. Martins, M. M. P. V. P. Cabral","submitted_at":"2016-02-25T20:47:23Z","abstract_excerpt":"We revisit the velocity-dependent one-scale model for topological defect evolution, and present a new alternative formulation in terms of a physical (rather than invariant) characteristic length scale. While the two approaches are equivalent (as we explicitly demonstrate), the new one is particularly relevant when studying the evolution of ultra-relativistic defects. Moreover, a comparison of the two provides further insight on the interpretation of the model's two phenomenological parameters, $c$ related to energy losses and $k$ related to the curvature of the defects. As an illustration of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08083","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":"1602.08083","created_at":"2026-05-18T01:19:24.044923+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.08083v2","created_at":"2026-05-18T01:19:24.044923+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08083","created_at":"2026-05-18T01:19:24.044923+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZRD437X2TQNW","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZRD437X2TQNWUFCG","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZRD437X2","created_at":"2026-05-18T12:30:55.937587+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/ZRD437X2TQNWUFCGACYB7BI4ML","json":"https://pith.science/pith/ZRD437X2TQNWUFCGACYB7BI4ML.json","graph_json":"https://pith.science/api/pith-number/ZRD437X2TQNWUFCGACYB7BI4ML/graph.json","events_json":"https://pith.science/api/pith-number/ZRD437X2TQNWUFCGACYB7BI4ML/events.json","paper":"https://pith.science/paper/ZRD437X2"},"agent_actions":{"view_html":"https://pith.science/pith/ZRD437X2TQNWUFCGACYB7BI4ML","download_json":"https://pith.science/pith/ZRD437X2TQNWUFCGACYB7BI4ML.json","view_paper":"https://pith.science/paper/ZRD437X2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.08083&json=true","fetch_graph":"https://pith.science/api/pith-number/ZRD437X2TQNWUFCGACYB7BI4ML/graph.json","fetch_events":"https://pith.science/api/pith-number/ZRD437X2TQNWUFCGACYB7BI4ML/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZRD437X2TQNWUFCGACYB7BI4ML/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZRD437X2TQNWUFCGACYB7BI4ML/action/storage_attestation","attest_author":"https://pith.science/pith/ZRD437X2TQNWUFCGACYB7BI4ML/action/author_attestation","sign_citation":"https://pith.science/pith/ZRD437X2TQNWUFCGACYB7BI4ML/action/citation_signature","submit_replication":"https://pith.science/pith/ZRD437X2TQNWUFCGACYB7BI4ML/action/replication_record"}},"created_at":"2026-05-18T01:19:24.044923+00:00","updated_at":"2026-05-18T01:19:24.044923+00:00"}