{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FQVM5PWU6N5SFDEMSZO2NNZMLV","short_pith_number":"pith:FQVM5PWU","canonical_record":{"source":{"id":"1705.10149","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-29T12:36:55Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"b9e9a54baf5f069eb2212b355233de46db24bb132a135f144b6b6159c8598898","abstract_canon_sha256":"78a36b101b6dde2b4e95dd06720a0bb7a10c0fbd4be4cd331363aa0aee20af14"},"schema_version":"1.0"},"canonical_sha256":"2c2acebed4f37b228c8c965da6b72c5d799876b070bcd6ef03daf96423f0617a","source":{"kind":"arxiv","id":"1705.10149","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10149","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10149v1","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10149","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"FQVM5PWU6N5S","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FQVM5PWU6N5SFDEM","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FQVM5PWU","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FQVM5PWU6N5SFDEMSZO2NNZMLV","target":"record","payload":{"canonical_record":{"source":{"id":"1705.10149","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-29T12:36:55Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"b9e9a54baf5f069eb2212b355233de46db24bb132a135f144b6b6159c8598898","abstract_canon_sha256":"78a36b101b6dde2b4e95dd06720a0bb7a10c0fbd4be4cd331363aa0aee20af14"},"schema_version":"1.0"},"canonical_sha256":"2c2acebed4f37b228c8c965da6b72c5d799876b070bcd6ef03daf96423f0617a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:31.845161Z","signature_b64":"+znSlUsAJ9GNbNjAzzGQqn+wD6QCoq9SZA9cMpHqwGex0/6iwmmmp/Bi2W/I3g81IVH7VccjDIbOoLjGvaOPBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c2acebed4f37b228c8c965da6b72c5d799876b070bcd6ef03daf96423f0617a","last_reissued_at":"2026-05-18T00:43:31.844728Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:31.844728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.10149","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":"2026-05-18T00:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zcvci3jJnNVf97wWRt4DXKDKZiPG7ts67klI7RZu1ydcnCKLf0CsDvTLCtf7SCLY8Q6zba4ra5KSsv4BHZFrDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T04:38:52.817800Z"},"content_sha256":"352bf182722150235a4b50227298c744c8111dc0e2a0f75ad605cd423836048a","schema_version":"1.0","event_id":"sha256:352bf182722150235a4b50227298c744c8111dc0e2a0f75ad605cd423836048a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FQVM5PWU6N5SFDEMSZO2NNZMLV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Metamorphosis in Imaging Science","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"Darryl D. Holm","submitted_at":"2017-05-29T12:36:55Z","abstract_excerpt":"In the pattern matching approach to imaging science, the process of \\emph{metamorphosis} in template matching with dynamical templates was introduced in \\cite{ty05b}. In \\cite{HoTrYo2009} the metamorphosis equations of \\cite{ty05b} were recast into the Euler-Poincar\\'e variational framework of \\cite{HoMaRa1998} and shown to contain the equations for a perfect complex fluid \\cite{Holm2002}. This result related the data structure underlying the process of metamorphosis in image matching to the physical concept of order parameter in the theory of complex fluids \\cite{GBHR2013}. In particular, it "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10149","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":"2026-05-18T00:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aA997AY1xkSm73kiqabKffuQVnBjrp6v4xPsO3whbL2lghSQDhgPUWsBwIX+mdTPrQI6wzgeT5NIqNXORcBwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T04:38:52.818158Z"},"content_sha256":"6bdb7bf603f80e1a11b3c9de299c34fc71a50fa74e81243507fbcaa2fdb3bcbc","schema_version":"1.0","event_id":"sha256:6bdb7bf603f80e1a11b3c9de299c34fc71a50fa74e81243507fbcaa2fdb3bcbc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FQVM5PWU6N5SFDEMSZO2NNZMLV/bundle.json","state_url":"https://pith.science/pith/FQVM5PWU6N5SFDEMSZO2NNZMLV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FQVM5PWU6N5SFDEMSZO2NNZMLV/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":"2026-06-05T04:38:52Z","links":{"resolver":"https://pith.science/pith/FQVM5PWU6N5SFDEMSZO2NNZMLV","bundle":"https://pith.science/pith/FQVM5PWU6N5SFDEMSZO2NNZMLV/bundle.json","state":"https://pith.science/pith/FQVM5PWU6N5SFDEMSZO2NNZMLV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FQVM5PWU6N5SFDEMSZO2NNZMLV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FQVM5PWU6N5SFDEMSZO2NNZMLV","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":"78a36b101b6dde2b4e95dd06720a0bb7a10c0fbd4be4cd331363aa0aee20af14","cross_cats_sorted":["math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-29T12:36:55Z","title_canon_sha256":"b9e9a54baf5f069eb2212b355233de46db24bb132a135f144b6b6159c8598898"},"schema_version":"1.0","source":{"id":"1705.10149","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10149","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10149v1","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10149","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"FQVM5PWU6N5S","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FQVM5PWU6N5SFDEM","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FQVM5PWU","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:6bdb7bf603f80e1a11b3c9de299c34fc71a50fa74e81243507fbcaa2fdb3bcbc","target":"graph","created_at":"2026-05-18T00:43:31Z","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 the pattern matching approach to imaging science, the process of \\emph{metamorphosis} in template matching with dynamical templates was introduced in \\cite{ty05b}. In \\cite{HoTrYo2009} the metamorphosis equations of \\cite{ty05b} were recast into the Euler-Poincar\\'e variational framework of \\cite{HoMaRa1998} and shown to contain the equations for a perfect complex fluid \\cite{Holm2002}. This result related the data structure underlying the process of metamorphosis in image matching to the physical concept of order parameter in the theory of complex fluids \\cite{GBHR2013}. In particular, it ","authors_text":"Darryl D. Holm","cross_cats":["math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-29T12:36:55Z","title":"Stochastic Metamorphosis in Imaging Science"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10149","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":"sha256:352bf182722150235a4b50227298c744c8111dc0e2a0f75ad605cd423836048a","target":"record","created_at":"2026-05-18T00:43:31Z","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":"78a36b101b6dde2b4e95dd06720a0bb7a10c0fbd4be4cd331363aa0aee20af14","cross_cats_sorted":["math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-29T12:36:55Z","title_canon_sha256":"b9e9a54baf5f069eb2212b355233de46db24bb132a135f144b6b6159c8598898"},"schema_version":"1.0","source":{"id":"1705.10149","kind":"arxiv","version":1}},"canonical_sha256":"2c2acebed4f37b228c8c965da6b72c5d799876b070bcd6ef03daf96423f0617a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c2acebed4f37b228c8c965da6b72c5d799876b070bcd6ef03daf96423f0617a","first_computed_at":"2026-05-18T00:43:31.844728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:31.844728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+znSlUsAJ9GNbNjAzzGQqn+wD6QCoq9SZA9cMpHqwGex0/6iwmmmp/Bi2W/I3g81IVH7VccjDIbOoLjGvaOPBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:31.845161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10149","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:352bf182722150235a4b50227298c744c8111dc0e2a0f75ad605cd423836048a","sha256:6bdb7bf603f80e1a11b3c9de299c34fc71a50fa74e81243507fbcaa2fdb3bcbc"],"state_sha256":"f802ef4dc6f14c13c52377244e42071845168915ea66c9271457a193dc6b097d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"53FriRCDZ1AP907YQS/HRT35m22CdzSx/uC0iF9rpdetPfcurNPf4bPYgZ3HrGl2sWWi7l3tJXlCgVPH0AuQDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T04:38:52.820550Z","bundle_sha256":"d3d9ae3803a03af54a1622cc905f756a91c47ba1110db5beea4e3a5858286961"}}