{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AQBBDHZGKSWGNZIRIGPM26SRM3","short_pith_number":"pith:AQBBDHZG","canonical_record":{"source":{"id":"1709.09340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2017-09-27T05:33:16Z","cross_cats_sorted":[],"title_canon_sha256":"f2b077ba967a6ae531d84fab8e895f1d7a97948d49426fb981e26df50900c366","abstract_canon_sha256":"2faa087e7589299ece2a821e6499886b83736b7a0d6c9c63160c8b1a3b46222b"},"schema_version":"1.0"},"canonical_sha256":"0402119f2654ac66e511419ecd7a5166d96e94857457aaa30412971cf45021e7","source":{"kind":"arxiv","id":"1709.09340","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.09340","created_at":"2026-05-18T00:34:12Z"},{"alias_kind":"arxiv_version","alias_value":"1709.09340v1","created_at":"2026-05-18T00:34:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.09340","created_at":"2026-05-18T00:34:12Z"},{"alias_kind":"pith_short_12","alias_value":"AQBBDHZGKSWG","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AQBBDHZGKSWGNZIR","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AQBBDHZG","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AQBBDHZGKSWGNZIRIGPM26SRM3","target":"record","payload":{"canonical_record":{"source":{"id":"1709.09340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2017-09-27T05:33:16Z","cross_cats_sorted":[],"title_canon_sha256":"f2b077ba967a6ae531d84fab8e895f1d7a97948d49426fb981e26df50900c366","abstract_canon_sha256":"2faa087e7589299ece2a821e6499886b83736b7a0d6c9c63160c8b1a3b46222b"},"schema_version":"1.0"},"canonical_sha256":"0402119f2654ac66e511419ecd7a5166d96e94857457aaa30412971cf45021e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:12.142361Z","signature_b64":"2L8GInflKJ7sjtUNCQpmsmU2qeDFjeAm5cb1mAGKTXNcqoA6wyV9GJBsjeRyEy1LXW29U0ckgqAIECylx4FjDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0402119f2654ac66e511419ecd7a5166d96e94857457aaa30412971cf45021e7","last_reissued_at":"2026-05-18T00:34:12.141854Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:12.141854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.09340","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":"2026-05-18T00:34:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v3if6AsBybudUIkKV23rzV+lF6kdXW+n5NpMz9wNS9ZgwbVA0Lpk+wDNrkReAvx5wCtl20W4sHBdWHJ/p8fhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:44:45.125291Z"},"content_sha256":"95a5da4f4d4b22b4972aad576864b6141b6b0d1d7e6af51cd4165b701a0454a9","schema_version":"1.0","event_id":"sha256:95a5da4f4d4b22b4972aad576864b6141b6b0d1d7e6af51cd4165b701a0454a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AQBBDHZGKSWGNZIRIGPM26SRM3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Gradient Descent Method for Optimization of Model Microvascular Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.QM","authors_text":"Marcus Roper, Shyr-Shea Chang","submitted_at":"2017-09-27T05:33:16Z","abstract_excerpt":"Within animals, oxygen exchange occurs within networks containing potentially billions of microvessels that are distributed throughout the animal's body. Innovative imaging methods now allow for mapping of the architecture and blood flows within real microvascular networks. However, these data streams have so far yielded little new understanding of the physical principles that underlie the organization of microvascular networks, which could allow healthy networks to be quantitatively compared with networks that have been damaged, e.g. due to diabetes. A natural mathematical starting point for "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09340","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":"2026-05-18T00:34:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9QLqXBHfZI+NaLZtbNIpU9hEjh9WmtJsr/gwYjIM371XJwUdlxL8DhcL2O7ygIba74gzIg03BATpKXKsxuVjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:44:45.126016Z"},"content_sha256":"3f0da9820945234ccfed5189499d47007b0dac151ca8a38079f4f8898e2c218f","schema_version":"1.0","event_id":"sha256:3f0da9820945234ccfed5189499d47007b0dac151ca8a38079f4f8898e2c218f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AQBBDHZGKSWGNZIRIGPM26SRM3/bundle.json","state_url":"https://pith.science/pith/AQBBDHZGKSWGNZIRIGPM26SRM3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AQBBDHZGKSWGNZIRIGPM26SRM3/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":"2026-06-11T11:44:45Z","links":{"resolver":"https://pith.science/pith/AQBBDHZGKSWGNZIRIGPM26SRM3","bundle":"https://pith.science/pith/AQBBDHZGKSWGNZIRIGPM26SRM3/bundle.json","state":"https://pith.science/pith/AQBBDHZGKSWGNZIRIGPM26SRM3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AQBBDHZGKSWGNZIRIGPM26SRM3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AQBBDHZGKSWGNZIRIGPM26SRM3","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":"2faa087e7589299ece2a821e6499886b83736b7a0d6c9c63160c8b1a3b46222b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2017-09-27T05:33:16Z","title_canon_sha256":"f2b077ba967a6ae531d84fab8e895f1d7a97948d49426fb981e26df50900c366"},"schema_version":"1.0","source":{"id":"1709.09340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.09340","created_at":"2026-05-18T00:34:12Z"},{"alias_kind":"arxiv_version","alias_value":"1709.09340v1","created_at":"2026-05-18T00:34:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.09340","created_at":"2026-05-18T00:34:12Z"},{"alias_kind":"pith_short_12","alias_value":"AQBBDHZGKSWG","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AQBBDHZGKSWGNZIR","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AQBBDHZG","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:3f0da9820945234ccfed5189499d47007b0dac151ca8a38079f4f8898e2c218f","target":"graph","created_at":"2026-05-18T00:34:12Z","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":"Within animals, oxygen exchange occurs within networks containing potentially billions of microvessels that are distributed throughout the animal's body. Innovative imaging methods now allow for mapping of the architecture and blood flows within real microvascular networks. However, these data streams have so far yielded little new understanding of the physical principles that underlie the organization of microvascular networks, which could allow healthy networks to be quantitatively compared with networks that have been damaged, e.g. due to diabetes. A natural mathematical starting point for ","authors_text":"Marcus Roper, Shyr-Shea Chang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2017-09-27T05:33:16Z","title":"A Gradient Descent Method for Optimization of Model Microvascular Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09340","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":"sha256:95a5da4f4d4b22b4972aad576864b6141b6b0d1d7e6af51cd4165b701a0454a9","target":"record","created_at":"2026-05-18T00:34:12Z","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":"2faa087e7589299ece2a821e6499886b83736b7a0d6c9c63160c8b1a3b46222b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2017-09-27T05:33:16Z","title_canon_sha256":"f2b077ba967a6ae531d84fab8e895f1d7a97948d49426fb981e26df50900c366"},"schema_version":"1.0","source":{"id":"1709.09340","kind":"arxiv","version":1}},"canonical_sha256":"0402119f2654ac66e511419ecd7a5166d96e94857457aaa30412971cf45021e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0402119f2654ac66e511419ecd7a5166d96e94857457aaa30412971cf45021e7","first_computed_at":"2026-05-18T00:34:12.141854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:12.141854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2L8GInflKJ7sjtUNCQpmsmU2qeDFjeAm5cb1mAGKTXNcqoA6wyV9GJBsjeRyEy1LXW29U0ckgqAIECylx4FjDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:12.142361Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.09340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95a5da4f4d4b22b4972aad576864b6141b6b0d1d7e6af51cd4165b701a0454a9","sha256:3f0da9820945234ccfed5189499d47007b0dac151ca8a38079f4f8898e2c218f"],"state_sha256":"ada32f04bc7d892d9cef5140b4b82937ad7394514f8046bad1a81b59bcb9c2e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3pUa8WdpKPdp0zgB06/djgvooSdewIjeZJbhb2qzHE8sGnAhH/vi0nag4yXvX6Yo7jllzT+bHSWQQneDFT93AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T11:44:45.128618Z","bundle_sha256":"c09e757e75d8a0d0d140e216d3f9423f8b2db9f2d51bd469647792cb7a868a2d"}}