{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:O55D7U5UX5ZAG5DMDYLO4RAOG6","short_pith_number":"pith:O55D7U5U","canonical_record":{"source":{"id":"1401.5701","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.TO","submitted_at":"2014-01-22T15:15:28Z","cross_cats_sorted":[],"title_canon_sha256":"46caaf1d419731a8ce5036617c1d4376c5942ccd8c6299bf25310267ffbd9dcd","abstract_canon_sha256":"dbb6e154c13bcbf7e1b176df568759e738d218dea0c309cbafa84d9350fcf2c7"},"schema_version":"1.0"},"canonical_sha256":"777a3fd3b4bf7203746c1e16ee440e37aec77ac8d6c5505a24d61ea00fed2388","source":{"kind":"arxiv","id":"1401.5701","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5701","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5701v1","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5701","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"pith_short_12","alias_value":"O55D7U5UX5ZA","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"O55D7U5UX5ZAG5DM","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"O55D7U5U","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:O55D7U5UX5ZAG5DMDYLO4RAOG6","target":"record","payload":{"canonical_record":{"source":{"id":"1401.5701","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.TO","submitted_at":"2014-01-22T15:15:28Z","cross_cats_sorted":[],"title_canon_sha256":"46caaf1d419731a8ce5036617c1d4376c5942ccd8c6299bf25310267ffbd9dcd","abstract_canon_sha256":"dbb6e154c13bcbf7e1b176df568759e738d218dea0c309cbafa84d9350fcf2c7"},"schema_version":"1.0"},"canonical_sha256":"777a3fd3b4bf7203746c1e16ee440e37aec77ac8d6c5505a24d61ea00fed2388","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:48.812719Z","signature_b64":"NmwbUGlczdRbVz/2dZs7JZP51AUYd5/1hl5FaQYlIug0x4+MTHz72vz0O62FYhYFaVM0hcOICjpdD8DvyKE6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"777a3fd3b4bf7203746c1e16ee440e37aec77ac8d6c5505a24d61ea00fed2388","last_reissued_at":"2026-05-18T01:19:48.812153Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:48.812153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.5701","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":"2026-05-18T01:19:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+diH4ry15kx7AoSSLVKWgiKpweUqAJv70HG9M1PESPVjeq17LMElvtpy3yj5XHDkmwFEjkAhuY09HwwHU9+kAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:36:22.264908Z"},"content_sha256":"f9b74eb3cfae7f2217861295c65eee00364178cb992d47bcc74f21c05becf341","schema_version":"1.0","event_id":"sha256:f9b74eb3cfae7f2217861295c65eee00364178cb992d47bcc74f21c05becf341"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:O55D7U5UX5ZAG5DMDYLO4RAOG6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mesoscopic and continuum modelling of angiogenesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.TO","authors_text":"Fabian Spill, Helen M. Byrne, Philip K. Maini, Pilar Guerrero, Tomas Alarcon","submitted_at":"2014-01-22T15:15:28Z","abstract_excerpt":"Angiogenesis is the formation of new blood vessels from pre-existing ones in response to chemical signals secreted by, for example, a wound or a tumour. In this paper, we propose a mesoscopic lattice-based model of angiogenesis, in which processes that include proliferation and cell movement are considered as stochastic events. By studying the dependence of the model on the lattice spacing and the number of cells involved, we are able to derive the deterministic continuum limit of our equations and compare it to similar existing models of angiogenesis. We further identify conditions under whic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5701","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":"2026-05-18T01:19:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wwE8mcCsxcBW8s2scTk/7CsoUIND2ZG5vi8ri+iJoEkJliOoJdDAoAgpbj/g1/m4yKkm+h7cfdDxAUBxGyenCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:36:22.265715Z"},"content_sha256":"ef0f1e150b561cd5ab4b26c7783ddad84939a30291ac62ba5f432db67ff5ca3f","schema_version":"1.0","event_id":"sha256:ef0f1e150b561cd5ab4b26c7783ddad84939a30291ac62ba5f432db67ff5ca3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O55D7U5UX5ZAG5DMDYLO4RAOG6/bundle.json","state_url":"https://pith.science/pith/O55D7U5UX5ZAG5DMDYLO4RAOG6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O55D7U5UX5ZAG5DMDYLO4RAOG6/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":"2026-05-31T16:36:22Z","links":{"resolver":"https://pith.science/pith/O55D7U5UX5ZAG5DMDYLO4RAOG6","bundle":"https://pith.science/pith/O55D7U5UX5ZAG5DMDYLO4RAOG6/bundle.json","state":"https://pith.science/pith/O55D7U5UX5ZAG5DMDYLO4RAOG6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O55D7U5UX5ZAG5DMDYLO4RAOG6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:O55D7U5UX5ZAG5DMDYLO4RAOG6","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":"dbb6e154c13bcbf7e1b176df568759e738d218dea0c309cbafa84d9350fcf2c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.TO","submitted_at":"2014-01-22T15:15:28Z","title_canon_sha256":"46caaf1d419731a8ce5036617c1d4376c5942ccd8c6299bf25310267ffbd9dcd"},"schema_version":"1.0","source":{"id":"1401.5701","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5701","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5701v1","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5701","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"pith_short_12","alias_value":"O55D7U5UX5ZA","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"O55D7U5UX5ZAG5DM","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"O55D7U5U","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:ef0f1e150b561cd5ab4b26c7783ddad84939a30291ac62ba5f432db67ff5ca3f","target":"graph","created_at":"2026-05-18T01:19:48Z","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":"Angiogenesis is the formation of new blood vessels from pre-existing ones in response to chemical signals secreted by, for example, a wound or a tumour. In this paper, we propose a mesoscopic lattice-based model of angiogenesis, in which processes that include proliferation and cell movement are considered as stochastic events. By studying the dependence of the model on the lattice spacing and the number of cells involved, we are able to derive the deterministic continuum limit of our equations and compare it to similar existing models of angiogenesis. We further identify conditions under whic","authors_text":"Fabian Spill, Helen M. Byrne, Philip K. Maini, Pilar Guerrero, Tomas Alarcon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.TO","submitted_at":"2014-01-22T15:15:28Z","title":"Mesoscopic and continuum modelling of angiogenesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5701","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:f9b74eb3cfae7f2217861295c65eee00364178cb992d47bcc74f21c05becf341","target":"record","created_at":"2026-05-18T01:19:48Z","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":"dbb6e154c13bcbf7e1b176df568759e738d218dea0c309cbafa84d9350fcf2c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.TO","submitted_at":"2014-01-22T15:15:28Z","title_canon_sha256":"46caaf1d419731a8ce5036617c1d4376c5942ccd8c6299bf25310267ffbd9dcd"},"schema_version":"1.0","source":{"id":"1401.5701","kind":"arxiv","version":1}},"canonical_sha256":"777a3fd3b4bf7203746c1e16ee440e37aec77ac8d6c5505a24d61ea00fed2388","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"777a3fd3b4bf7203746c1e16ee440e37aec77ac8d6c5505a24d61ea00fed2388","first_computed_at":"2026-05-18T01:19:48.812153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:48.812153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NmwbUGlczdRbVz/2dZs7JZP51AUYd5/1hl5FaQYlIug0x4+MTHz72vz0O62FYhYFaVM0hcOICjpdD8DvyKE6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:48.812719Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.5701","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9b74eb3cfae7f2217861295c65eee00364178cb992d47bcc74f21c05becf341","sha256:ef0f1e150b561cd5ab4b26c7783ddad84939a30291ac62ba5f432db67ff5ca3f"],"state_sha256":"cf9b2db1b634e36077e3ab35185d61feb7278d84f17d477f3ae8b68c78c769d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"83/Rw0b35kneD8u++5iVC+Qb/pwuv+ByL5GkzDauUZXr/Af1Iy6qDDBVYk5EzUNHPTYjooL97Q/p5eITlxVXDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T16:36:22.270234Z","bundle_sha256":"7786ce842588b7582603edf08ed6d48f4a53f034a0ba76b5a873c5bd9eaf426e"}}