{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:XBRTOUMC7THX3QEIMKNH55LATT","short_pith_number":"pith:XBRTOUMC","canonical_record":{"source":{"id":"2007.01024","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2020-07-02T11:20:53Z","cross_cats_sorted":["math.AP","math.FA"],"title_canon_sha256":"0d6b5eeb020b6240b7b4cb1b00c99763b215fdffff131ecaf31e3cb3befbabde","abstract_canon_sha256":"eafaa1c30d1b73e231b8759d5ecff4a769126ca5481226e8eaa4f93a873230fa"},"schema_version":"1.0"},"canonical_sha256":"b863375182fccf7dc088629a7ef5609cff2303c5c2c2d70c67c1891b9fc88654","source":{"kind":"arxiv","id":"2007.01024","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.01024","created_at":"2026-05-28T02:04:38Z"},{"alias_kind":"arxiv_version","alias_value":"2007.01024v3","created_at":"2026-05-28T02:04:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.01024","created_at":"2026-05-28T02:04:38Z"},{"alias_kind":"pith_short_12","alias_value":"XBRTOUMC7THX","created_at":"2026-05-28T02:04:38Z"},{"alias_kind":"pith_short_16","alias_value":"XBRTOUMC7THX3QEI","created_at":"2026-05-28T02:04:38Z"},{"alias_kind":"pith_short_8","alias_value":"XBRTOUMC","created_at":"2026-05-28T02:04:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:XBRTOUMC7THX3QEIMKNH55LATT","target":"record","payload":{"canonical_record":{"source":{"id":"2007.01024","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2020-07-02T11:20:53Z","cross_cats_sorted":["math.AP","math.FA"],"title_canon_sha256":"0d6b5eeb020b6240b7b4cb1b00c99763b215fdffff131ecaf31e3cb3befbabde","abstract_canon_sha256":"eafaa1c30d1b73e231b8759d5ecff4a769126ca5481226e8eaa4f93a873230fa"},"schema_version":"1.0"},"canonical_sha256":"b863375182fccf7dc088629a7ef5609cff2303c5c2c2d70c67c1891b9fc88654","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-28T02:04:38.209090Z","signature_b64":"EN+nn1JmhoDN93b6RYy3kYyU74ImVH6uEvrF5ikXgF9KWnRIo5c7p6GOabpB0aYSUfOtVkrCu3P5e0MUPYKMBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b863375182fccf7dc088629a7ef5609cff2303c5c2c2d70c67c1891b9fc88654","last_reissued_at":"2026-05-28T02:04:38.208477Z","signature_status":"signed_v1","first_computed_at":"2026-05-28T02:04:38.208477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2007.01024","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-28T02:04:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QPaiqKuHnJttIwDNxTKwF8sfeA1pjbLnKCsq6OQqnAexHxA+VTJEppl4qKA6fUQ5qMQuHYAR4PUb5kFo+6MhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:29:03.372850Z"},"content_sha256":"4b4730a0f04de72071b76a5ca4be729085b233719317229d058c51ee3d9b0578","schema_version":"1.0","event_id":"sha256:4b4730a0f04de72071b76a5ca4be729085b233719317229d058c51ee3d9b0578"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:XBRTOUMC7THX3QEIMKNH55LATT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Curve shortening flow on Riemann surfaces with conical singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.FA"],"primary_cat":"math.DG","authors_text":"Andreas Savas-Halilaj, Nikolaos Roidos","submitted_at":"2020-07-02T11:20:53Z","abstract_excerpt":"We study the curve shortening flow on Riemann surfaces with finitely many conformal conical singularities. If the initial curve is passing through the singular points, then the evolution is governed by a degenerate quasilinear parabolic equation. In this case, we establish short time existence, uniqueness, and regularity of the flow. We also show that the evolving curves stay fixed at the singular points of the surface and obtain some collapsing and convergence results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.01024","kind":"arxiv","version":3},"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/2007.01024/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-28T02:04:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BY8ogjDrNRHxEkiOsIyUb7rCrukZAMG1h60uC06m+MLvyK/nM+1GSbLvXcadsARxtPHedfNXWs08oKadu1sYBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:29:03.373220Z"},"content_sha256":"036445c5211642444d76ac1855fc1b54be2ddecab8f3b02b06d4d8b11c6818f7","schema_version":"1.0","event_id":"sha256:036445c5211642444d76ac1855fc1b54be2ddecab8f3b02b06d4d8b11c6818f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XBRTOUMC7THX3QEIMKNH55LATT/bundle.json","state_url":"https://pith.science/pith/XBRTOUMC7THX3QEIMKNH55LATT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XBRTOUMC7THX3QEIMKNH55LATT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T20:29:03Z","links":{"resolver":"https://pith.science/pith/XBRTOUMC7THX3QEIMKNH55LATT","bundle":"https://pith.science/pith/XBRTOUMC7THX3QEIMKNH55LATT/bundle.json","state":"https://pith.science/pith/XBRTOUMC7THX3QEIMKNH55LATT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XBRTOUMC7THX3QEIMKNH55LATT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:XBRTOUMC7THX3QEIMKNH55LATT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"eafaa1c30d1b73e231b8759d5ecff4a769126ca5481226e8eaa4f93a873230fa","cross_cats_sorted":["math.AP","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2020-07-02T11:20:53Z","title_canon_sha256":"0d6b5eeb020b6240b7b4cb1b00c99763b215fdffff131ecaf31e3cb3befbabde"},"schema_version":"1.0","source":{"id":"2007.01024","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.01024","created_at":"2026-05-28T02:04:38Z"},{"alias_kind":"arxiv_version","alias_value":"2007.01024v3","created_at":"2026-05-28T02:04:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.01024","created_at":"2026-05-28T02:04:38Z"},{"alias_kind":"pith_short_12","alias_value":"XBRTOUMC7THX","created_at":"2026-05-28T02:04:38Z"},{"alias_kind":"pith_short_16","alias_value":"XBRTOUMC7THX3QEI","created_at":"2026-05-28T02:04:38Z"},{"alias_kind":"pith_short_8","alias_value":"XBRTOUMC","created_at":"2026-05-28T02:04:38Z"}],"graph_snapshots":[{"event_id":"sha256:036445c5211642444d76ac1855fc1b54be2ddecab8f3b02b06d4d8b11c6818f7","target":"graph","created_at":"2026-05-28T02:04:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2007.01024/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the curve shortening flow on Riemann surfaces with finitely many conformal conical singularities. If the initial curve is passing through the singular points, then the evolution is governed by a degenerate quasilinear parabolic equation. In this case, we establish short time existence, uniqueness, and regularity of the flow. We also show that the evolving curves stay fixed at the singular points of the surface and obtain some collapsing and convergence results.","authors_text":"Andreas Savas-Halilaj, Nikolaos Roidos","cross_cats":["math.AP","math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2020-07-02T11:20:53Z","title":"Curve shortening flow on Riemann surfaces with conical singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.01024","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4b4730a0f04de72071b76a5ca4be729085b233719317229d058c51ee3d9b0578","target":"record","created_at":"2026-05-28T02:04:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"eafaa1c30d1b73e231b8759d5ecff4a769126ca5481226e8eaa4f93a873230fa","cross_cats_sorted":["math.AP","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2020-07-02T11:20:53Z","title_canon_sha256":"0d6b5eeb020b6240b7b4cb1b00c99763b215fdffff131ecaf31e3cb3befbabde"},"schema_version":"1.0","source":{"id":"2007.01024","kind":"arxiv","version":3}},"canonical_sha256":"b863375182fccf7dc088629a7ef5609cff2303c5c2c2d70c67c1891b9fc88654","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b863375182fccf7dc088629a7ef5609cff2303c5c2c2d70c67c1891b9fc88654","first_computed_at":"2026-05-28T02:04:38.208477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T02:04:38.208477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EN+nn1JmhoDN93b6RYy3kYyU74ImVH6uEvrF5ikXgF9KWnRIo5c7p6GOabpB0aYSUfOtVkrCu3P5e0MUPYKMBA==","signature_status":"signed_v1","signed_at":"2026-05-28T02:04:38.209090Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.01024","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b4730a0f04de72071b76a5ca4be729085b233719317229d058c51ee3d9b0578","sha256:036445c5211642444d76ac1855fc1b54be2ddecab8f3b02b06d4d8b11c6818f7"],"state_sha256":"933e17156a8db0e8099d0242cf4c23ea0f7fb8c18fee66ad886f38ef7e238352"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wLufXY0941s1ayX5sNRb3YHw48tCZfOMyW2GEnuf57OUD7bfzXte1CSWF3nlWrqZU2d0oWrprEaxht0ldrnWDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T20:29:03.377746Z","bundle_sha256":"144014df97bdfdb29d3929db4821c13fd9621e1589f1280640c15b75c1ea9626"}}