{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ED4AOIEKW7EBIMXNCD3AGOMOTH","short_pith_number":"pith:ED4AOIEK","canonical_record":{"source":{"id":"1711.07460","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-20T18:52:41Z","cross_cats_sorted":[],"title_canon_sha256":"120d6164e4073254d9f1bdcfa85523f0d6e5010eccecf441930c977263a1bd42","abstract_canon_sha256":"cb8394772c262516ca60fca42245346b876639d19e9532dff03218821c49c18b"},"schema_version":"1.0"},"canonical_sha256":"20f807208ab7c81432ed10f603398e99e68e652495b631ee20cedcb71f6e458b","source":{"kind":"arxiv","id":"1711.07460","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07460","created_at":"2026-05-18T00:28:34Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07460v2","created_at":"2026-05-18T00:28:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07460","created_at":"2026-05-18T00:28:34Z"},{"alias_kind":"pith_short_12","alias_value":"ED4AOIEKW7EB","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"ED4AOIEKW7EBIMXN","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"ED4AOIEK","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ED4AOIEKW7EBIMXNCD3AGOMOTH","target":"record","payload":{"canonical_record":{"source":{"id":"1711.07460","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-20T18:52:41Z","cross_cats_sorted":[],"title_canon_sha256":"120d6164e4073254d9f1bdcfa85523f0d6e5010eccecf441930c977263a1bd42","abstract_canon_sha256":"cb8394772c262516ca60fca42245346b876639d19e9532dff03218821c49c18b"},"schema_version":"1.0"},"canonical_sha256":"20f807208ab7c81432ed10f603398e99e68e652495b631ee20cedcb71f6e458b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:34.696018Z","signature_b64":"z4qlvPa5CRCDraOWkekJUz7awrWpLML2j3J+fS9oEN8WgOKUlV8n9dfO9Hx4AWgHhs7iTBeJKUoaEo7mUgkHCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20f807208ab7c81432ed10f603398e99e68e652495b631ee20cedcb71f6e458b","last_reissued_at":"2026-05-18T00:28:34.695410Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:34.695410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.07460","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:28:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9/O987O8E83UQ2mmZcHJ1v40A+3YuGVmPhX5yMSx/Qc06aDOJdGVGwCqHOoPN0YEqDvWfv2t3YkDkcNbzBAXCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:53:31.110642Z"},"content_sha256":"906e87c13269d5971323ae9c6df290368104f6417c41d7f8b63b9f9ce0e53b2a","schema_version":"1.0","event_id":"sha256:906e87c13269d5971323ae9c6df290368104f6417c41d7f8b63b9f9ce0e53b2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ED4AOIEKW7EBIMXNCD3AGOMOTH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regular 1-harmonic flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Lorenzo Giacomelli, Micha{\\l} {\\L}asica, Salvador Moll","submitted_at":"2017-11-20T18:52:41Z","abstract_excerpt":"We consider the 1-harmonic flow of maps from a bounded domain into a submanifold of a Euclidean space, i.e. the gradient flow of the total variation functional restricted to maps taking values in the manifold. We restrict ourselves to Lipschitz initial data. We prove uniqueness and, in the case of a convex domain, local existence of solutions to the flow equations. If the target manifold has non-positive sectional curvature or in the case that the datum is small, solutions are shown to exist globally and to become constant in finite time. We also consider the case where the domain is a compact"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07460","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:28:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cREDKrplKxDV7B1KUclbXN+CMDB459csrS4T9DkccTOVr2fi4EclSa9+9kT5HAF/YmolGzIxIjzX8cDhYQszCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:53:31.111434Z"},"content_sha256":"08721ace8fe1a4d5c76e4c22101ec3292ade42621ae2fc5bd97049e62a625429","schema_version":"1.0","event_id":"sha256:08721ace8fe1a4d5c76e4c22101ec3292ade42621ae2fc5bd97049e62a625429"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ED4AOIEKW7EBIMXNCD3AGOMOTH/bundle.json","state_url":"https://pith.science/pith/ED4AOIEKW7EBIMXNCD3AGOMOTH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ED4AOIEKW7EBIMXNCD3AGOMOTH/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":"2026-05-30T22:53:31Z","links":{"resolver":"https://pith.science/pith/ED4AOIEKW7EBIMXNCD3AGOMOTH","bundle":"https://pith.science/pith/ED4AOIEKW7EBIMXNCD3AGOMOTH/bundle.json","state":"https://pith.science/pith/ED4AOIEKW7EBIMXNCD3AGOMOTH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ED4AOIEKW7EBIMXNCD3AGOMOTH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ED4AOIEKW7EBIMXNCD3AGOMOTH","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":"cb8394772c262516ca60fca42245346b876639d19e9532dff03218821c49c18b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-20T18:52:41Z","title_canon_sha256":"120d6164e4073254d9f1bdcfa85523f0d6e5010eccecf441930c977263a1bd42"},"schema_version":"1.0","source":{"id":"1711.07460","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07460","created_at":"2026-05-18T00:28:34Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07460v2","created_at":"2026-05-18T00:28:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07460","created_at":"2026-05-18T00:28:34Z"},{"alias_kind":"pith_short_12","alias_value":"ED4AOIEKW7EB","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"ED4AOIEKW7EBIMXN","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"ED4AOIEK","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:08721ace8fe1a4d5c76e4c22101ec3292ade42621ae2fc5bd97049e62a625429","target":"graph","created_at":"2026-05-18T00:28:34Z","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":"We consider the 1-harmonic flow of maps from a bounded domain into a submanifold of a Euclidean space, i.e. the gradient flow of the total variation functional restricted to maps taking values in the manifold. We restrict ourselves to Lipschitz initial data. We prove uniqueness and, in the case of a convex domain, local existence of solutions to the flow equations. If the target manifold has non-positive sectional curvature or in the case that the datum is small, solutions are shown to exist globally and to become constant in finite time. We also consider the case where the domain is a compact","authors_text":"Lorenzo Giacomelli, Micha{\\l} {\\L}asica, Salvador Moll","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-20T18:52:41Z","title":"Regular 1-harmonic flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07460","kind":"arxiv","version":2},"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":"sha256:906e87c13269d5971323ae9c6df290368104f6417c41d7f8b63b9f9ce0e53b2a","target":"record","created_at":"2026-05-18T00:28:34Z","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":"cb8394772c262516ca60fca42245346b876639d19e9532dff03218821c49c18b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-20T18:52:41Z","title_canon_sha256":"120d6164e4073254d9f1bdcfa85523f0d6e5010eccecf441930c977263a1bd42"},"schema_version":"1.0","source":{"id":"1711.07460","kind":"arxiv","version":2}},"canonical_sha256":"20f807208ab7c81432ed10f603398e99e68e652495b631ee20cedcb71f6e458b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20f807208ab7c81432ed10f603398e99e68e652495b631ee20cedcb71f6e458b","first_computed_at":"2026-05-18T00:28:34.695410Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:34.695410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z4qlvPa5CRCDraOWkekJUz7awrWpLML2j3J+fS9oEN8WgOKUlV8n9dfO9Hx4AWgHhs7iTBeJKUoaEo7mUgkHCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:34.696018Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.07460","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:906e87c13269d5971323ae9c6df290368104f6417c41d7f8b63b9f9ce0e53b2a","sha256:08721ace8fe1a4d5c76e4c22101ec3292ade42621ae2fc5bd97049e62a625429"],"state_sha256":"0ec0c9e4ba588a5b47a39b932a61f246864b39a259e7c0c09ab06f6f478851b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3a4bAgd27wqIoN0pmaTqVUnpsYaEvEKrEWZ0p+Bp4Xqa/aaPqI97c0AHbC9wwCx34D1thOFeOP+ouuihqyuMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T22:53:31.115598Z","bundle_sha256":"87cde52b22b93bdb08ad2aab6e45ea156872efde63891c4546037cb8b8101dfd"}}