{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:NVP2DEH5X7IUPKVFUIW4LILZTR","short_pith_number":"pith:NVP2DEH5","schema_version":"1.0","canonical_sha256":"6d5fa190fdbfd147aaa5a22dc5a1799c41cb59a25e10fcc3dff6686675f5e051","source":{"kind":"arxiv","id":"1507.03785","version":1},"attestation_state":"computed","paper":{"title":"Convergence of Finslerian metrics under Ricci flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"B. Bidabad, M. Yar Ahmadi","submitted_at":"2015-07-14T09:41:10Z","abstract_excerpt":"In this work, convergence of evolving Finslerian metrics first in a general flow next under Finslerian Ricci flow is studied. More intuitively it is proved that a family of Finslerian metrics $g(t)$ which are solutions to the Finslerian Ricci flow converge in $C^{\\infty}$ to a smooth limit Finslerian metric as $ t $ approaches the finite time $ T $. As a consequence of this result one can show that in a compact Finsler manifold the curvature tensor along Ricci flow blows up in short time."},"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":"1507.03785","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-14T09:41:10Z","cross_cats_sorted":[],"title_canon_sha256":"2e00bc58d9882eb042bf90540619a202491cf6219c476fbdd8e5d0d344a4263e","abstract_canon_sha256":"f68817868ff99590711212db72e0c3692142af2aab6beb8119d05e1f4d07ebcf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:49.890706Z","signature_b64":"Y+C8n646OQ2b04MgMXcKOliDFo0nQqaMYJKqbBPIaUFPdOHeqTrf0slrYTKVeO/4rcexRSZb1ibYKOdSDNg/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d5fa190fdbfd147aaa5a22dc5a1799c41cb59a25e10fcc3dff6686675f5e051","last_reissued_at":"2026-05-18T01:16:49.890113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:49.890113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence of Finslerian metrics under Ricci flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"B. Bidabad, M. Yar Ahmadi","submitted_at":"2015-07-14T09:41:10Z","abstract_excerpt":"In this work, convergence of evolving Finslerian metrics first in a general flow next under Finslerian Ricci flow is studied. More intuitively it is proved that a family of Finslerian metrics $g(t)$ which are solutions to the Finslerian Ricci flow converge in $C^{\\infty}$ to a smooth limit Finslerian metric as $ t $ approaches the finite time $ T $. As a consequence of this result one can show that in a compact Finsler manifold the curvature tensor along Ricci flow blows up in short time."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03785","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":"1507.03785","created_at":"2026-05-18T01:16:49.890212+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.03785v1","created_at":"2026-05-18T01:16:49.890212+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03785","created_at":"2026-05-18T01:16:49.890212+00:00"},{"alias_kind":"pith_short_12","alias_value":"NVP2DEH5X7IU","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"NVP2DEH5X7IUPKVF","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"NVP2DEH5","created_at":"2026-05-18T12:29:34.919912+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/NVP2DEH5X7IUPKVFUIW4LILZTR","json":"https://pith.science/pith/NVP2DEH5X7IUPKVFUIW4LILZTR.json","graph_json":"https://pith.science/api/pith-number/NVP2DEH5X7IUPKVFUIW4LILZTR/graph.json","events_json":"https://pith.science/api/pith-number/NVP2DEH5X7IUPKVFUIW4LILZTR/events.json","paper":"https://pith.science/paper/NVP2DEH5"},"agent_actions":{"view_html":"https://pith.science/pith/NVP2DEH5X7IUPKVFUIW4LILZTR","download_json":"https://pith.science/pith/NVP2DEH5X7IUPKVFUIW4LILZTR.json","view_paper":"https://pith.science/paper/NVP2DEH5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.03785&json=true","fetch_graph":"https://pith.science/api/pith-number/NVP2DEH5X7IUPKVFUIW4LILZTR/graph.json","fetch_events":"https://pith.science/api/pith-number/NVP2DEH5X7IUPKVFUIW4LILZTR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NVP2DEH5X7IUPKVFUIW4LILZTR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NVP2DEH5X7IUPKVFUIW4LILZTR/action/storage_attestation","attest_author":"https://pith.science/pith/NVP2DEH5X7IUPKVFUIW4LILZTR/action/author_attestation","sign_citation":"https://pith.science/pith/NVP2DEH5X7IUPKVFUIW4LILZTR/action/citation_signature","submit_replication":"https://pith.science/pith/NVP2DEH5X7IUPKVFUIW4LILZTR/action/replication_record"}},"created_at":"2026-05-18T01:16:49.890212+00:00","updated_at":"2026-05-18T01:16:49.890212+00:00"}