{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PFAQ7UE7O6VOU2Z72IHSUFDYA6","short_pith_number":"pith:PFAQ7UE7","canonical_record":{"source":{"id":"1804.06639","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-18T10:38:31Z","cross_cats_sorted":[],"title_canon_sha256":"c7aa97965caa975f108319ff94b9e5b13289381c126172bb75c9bc0c7c687eee","abstract_canon_sha256":"dfc79733b871abb8c3adffabd97fef819b60bb92f975e6ee0b616bd91051f27f"},"schema_version":"1.0"},"canonical_sha256":"79410fd09f77aaea6b3fd20f2a147807b1e3d96ddfd41c345ff66b0e8e548335","source":{"kind":"arxiv","id":"1804.06639","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06639","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06639v1","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06639","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"pith_short_12","alias_value":"PFAQ7UE7O6VO","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PFAQ7UE7O6VOU2Z7","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PFAQ7UE7","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PFAQ7UE7O6VOU2Z72IHSUFDYA6","target":"record","payload":{"canonical_record":{"source":{"id":"1804.06639","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-18T10:38:31Z","cross_cats_sorted":[],"title_canon_sha256":"c7aa97965caa975f108319ff94b9e5b13289381c126172bb75c9bc0c7c687eee","abstract_canon_sha256":"dfc79733b871abb8c3adffabd97fef819b60bb92f975e6ee0b616bd91051f27f"},"schema_version":"1.0"},"canonical_sha256":"79410fd09f77aaea6b3fd20f2a147807b1e3d96ddfd41c345ff66b0e8e548335","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:06.157540Z","signature_b64":"8Elwp1n66IJNkV9tr995EHtiVzubn92zSc33udPVbkl0mxdphucG8grOyLjYBT8l2KLWm1cPFMX51FyPhbjrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79410fd09f77aaea6b3fd20f2a147807b1e3d96ddfd41c345ff66b0e8e548335","last_reissued_at":"2026-05-18T00:18:06.156999Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:06.156999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.06639","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:18:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rvMe+cHdxvk+zRpUjvtmsmGrBmF0X3qdRx+cY19DNIecGtpDsQ3fOS10nh+MadNkj9qEry1JCDUfsvUMA7wkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:14:05.599159Z"},"content_sha256":"4bed28744a98f1d3008b1d716f5eccb81da268a03ef29d39f8067128f142169b","schema_version":"1.0","event_id":"sha256:4bed28744a98f1d3008b1d716f5eccb81da268a03ef29d39f8067128f142169b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PFAQ7UE7O6VOU2Z72IHSUFDYA6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Motion of level sets by inverse anisotropic mean curvature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chao Xia, Francesco Della Pietra, Nunzia Gavitone","submitted_at":"2018-04-18T10:38:31Z","abstract_excerpt":"In this paper we consider the weak formulation of the inverse anisotropic mean curvature flow, in the spirit of Huisken-Ilmanen. By using approximation method involving Finsler-p-Laplacian, we prove the existence and uniqueness of weak solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06639","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:18:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pcN6BA2083Y+W5wPJcVazPuGUOdQsdwjMIPmxTSZXF6YK+CpAhLcAGxbKylwWJlvlkK9ZR3hnZM6DvuRHBvSDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:14:05.599519Z"},"content_sha256":"4364b84045996ca8098da4b022dc74eeee9d0591e347340b54bcdfc4964bd3a6","schema_version":"1.0","event_id":"sha256:4364b84045996ca8098da4b022dc74eeee9d0591e347340b54bcdfc4964bd3a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PFAQ7UE7O6VOU2Z72IHSUFDYA6/bundle.json","state_url":"https://pith.science/pith/PFAQ7UE7O6VOU2Z72IHSUFDYA6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PFAQ7UE7O6VOU2Z72IHSUFDYA6/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":"2026-06-23T00:14:05Z","links":{"resolver":"https://pith.science/pith/PFAQ7UE7O6VOU2Z72IHSUFDYA6","bundle":"https://pith.science/pith/PFAQ7UE7O6VOU2Z72IHSUFDYA6/bundle.json","state":"https://pith.science/pith/PFAQ7UE7O6VOU2Z72IHSUFDYA6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PFAQ7UE7O6VOU2Z72IHSUFDYA6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PFAQ7UE7O6VOU2Z72IHSUFDYA6","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":"dfc79733b871abb8c3adffabd97fef819b60bb92f975e6ee0b616bd91051f27f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-18T10:38:31Z","title_canon_sha256":"c7aa97965caa975f108319ff94b9e5b13289381c126172bb75c9bc0c7c687eee"},"schema_version":"1.0","source":{"id":"1804.06639","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06639","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06639v1","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06639","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"pith_short_12","alias_value":"PFAQ7UE7O6VO","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PFAQ7UE7O6VOU2Z7","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PFAQ7UE7","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:4364b84045996ca8098da4b022dc74eeee9d0591e347340b54bcdfc4964bd3a6","target":"graph","created_at":"2026-05-18T00:18:06Z","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"},"paper":{"abstract_excerpt":"In this paper we consider the weak formulation of the inverse anisotropic mean curvature flow, in the spirit of Huisken-Ilmanen. By using approximation method involving Finsler-p-Laplacian, we prove the existence and uniqueness of weak solutions.","authors_text":"Chao Xia, Francesco Della Pietra, Nunzia Gavitone","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-18T10:38:31Z","title":"Motion of level sets by inverse anisotropic mean curvature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06639","kind":"arxiv","version":1},"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":"sha256:4bed28744a98f1d3008b1d716f5eccb81da268a03ef29d39f8067128f142169b","target":"record","created_at":"2026-05-18T00:18:06Z","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":"dfc79733b871abb8c3adffabd97fef819b60bb92f975e6ee0b616bd91051f27f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-18T10:38:31Z","title_canon_sha256":"c7aa97965caa975f108319ff94b9e5b13289381c126172bb75c9bc0c7c687eee"},"schema_version":"1.0","source":{"id":"1804.06639","kind":"arxiv","version":1}},"canonical_sha256":"79410fd09f77aaea6b3fd20f2a147807b1e3d96ddfd41c345ff66b0e8e548335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79410fd09f77aaea6b3fd20f2a147807b1e3d96ddfd41c345ff66b0e8e548335","first_computed_at":"2026-05-18T00:18:06.156999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:06.156999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8Elwp1n66IJNkV9tr995EHtiVzubn92zSc33udPVbkl0mxdphucG8grOyLjYBT8l2KLWm1cPFMX51FyPhbjrCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:06.157540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.06639","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bed28744a98f1d3008b1d716f5eccb81da268a03ef29d39f8067128f142169b","sha256:4364b84045996ca8098da4b022dc74eeee9d0591e347340b54bcdfc4964bd3a6"],"state_sha256":"6e4c9147c7957c4c41d370dde6203a523f76c7b617be60b36432e1168df90897"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aXJlAyIvUuOqeSYA3ub7tJMnWOZd7deFUpHQhmaeVHDm6P3lRd+IgUB4wOhA0Bx4DTPR0ODz1jJZ9i/7SVvQDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T00:14:05.601933Z","bundle_sha256":"5df7aa208019e34c85c535b3bfae8278bee6c2ee4b11c2293c140da0bcd15574"}}