{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7OU54SPBMZTXNLWIY4HJ5TDLXP","short_pith_number":"pith:7OU54SPB","canonical_record":{"source":{"id":"1501.06058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-01-24T16:19:41Z","cross_cats_sorted":["physics.data-an","q-bio.QM"],"title_canon_sha256":"42d24a0d0078f8bd4219fba281a18e9266173e721bbd61b80eb0ad576ee4e372","abstract_canon_sha256":"6524669942801b4c0b98df2b393898ab04afc4e2ae5afd2d08643c2f9fac5023"},"schema_version":"1.0"},"canonical_sha256":"fba9de49e1666776aec8c70e9ecc6bbbc3bfde4c55d2ea109bbc45e5e602baab","source":{"kind":"arxiv","id":"1501.06058","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06058","created_at":"2026-05-18T02:28:46Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06058v1","created_at":"2026-05-18T02:28:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06058","created_at":"2026-05-18T02:28:46Z"},{"alias_kind":"pith_short_12","alias_value":"7OU54SPBMZTX","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7OU54SPBMZTXNLWI","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7OU54SPB","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7OU54SPBMZTXNLWIY4HJ5TDLXP","target":"record","payload":{"canonical_record":{"source":{"id":"1501.06058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-01-24T16:19:41Z","cross_cats_sorted":["physics.data-an","q-bio.QM"],"title_canon_sha256":"42d24a0d0078f8bd4219fba281a18e9266173e721bbd61b80eb0ad576ee4e372","abstract_canon_sha256":"6524669942801b4c0b98df2b393898ab04afc4e2ae5afd2d08643c2f9fac5023"},"schema_version":"1.0"},"canonical_sha256":"fba9de49e1666776aec8c70e9ecc6bbbc3bfde4c55d2ea109bbc45e5e602baab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:46.971122Z","signature_b64":"Rp6ULyVae0EUofcOUWal0qagUl4TWqO6cxPuIpqTtFgE6FJHSeCfPZPyF+9fzSRbuGqzSCS34MgOYjcbIddjDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fba9de49e1666776aec8c70e9ecc6bbbc3bfde4c55d2ea109bbc45e5e602baab","last_reissued_at":"2026-05-18T02:28:46.970726Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:46.970726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.06058","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":"2026-05-18T02:28:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kAv3kDJzMEg4RtLOFtsbLmEc4PTXK9JE9hmtcC+TQ1gR8Q+VBFYUXJOSvA444/yuGWLmMUUah8KXICc9XPZkDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:50:13.509718Z"},"content_sha256":"e88b69d92db1e3002c45ca6b57a2c2ee06f53c1ab83c3e38381da7a35182fc0a","schema_version":"1.0","event_id":"sha256:e88b69d92db1e3002c45ca6b57a2c2ee06f53c1ab83c3e38381da7a35182fc0a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7OU54SPBMZTXNLWIY4HJ5TDLXP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flow Distances on Open Flow Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an","q-bio.QM"],"primary_cat":"physics.soc-ph","authors_text":"Jiang Zhang, Jun Wang, Liangzhu Guo, Peiteng Shi, Xiaodan Lou, Xiaohan Huang","submitted_at":"2015-01-24T16:19:41Z","abstract_excerpt":"Open flow network is a weighted directed graph with a source and a sink, depicting flux distributions on networks in the steady state of an open flow system. Energetic food webs, economic input-output networks, and international trade networks, are open flow network models of energy flows between species, money or value flows between industrial sectors, and goods flows between countries, respectively. Flow distances (first-passage or total) between any given two nodes $i$ and $j$ are defined as the average number of transition steps of a random walker along the network from $i$ to $j$ under so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06058","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":"2026-05-18T02:28:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LeSoq1+ulcbkDWLENixiAolceNkzGopM8OEUDx2VAN7+v1zKMsxpxLoEPPOGK3MBKV82lOVNQfIz+gmtELYJDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:50:13.510227Z"},"content_sha256":"221cf4c5c2fb547f892f35525b93024d832be7b989fa63e620dbde2183357fd9","schema_version":"1.0","event_id":"sha256:221cf4c5c2fb547f892f35525b93024d832be7b989fa63e620dbde2183357fd9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7OU54SPBMZTXNLWIY4HJ5TDLXP/bundle.json","state_url":"https://pith.science/pith/7OU54SPBMZTXNLWIY4HJ5TDLXP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7OU54SPBMZTXNLWIY4HJ5TDLXP/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":"2026-05-26T06:50:13Z","links":{"resolver":"https://pith.science/pith/7OU54SPBMZTXNLWIY4HJ5TDLXP","bundle":"https://pith.science/pith/7OU54SPBMZTXNLWIY4HJ5TDLXP/bundle.json","state":"https://pith.science/pith/7OU54SPBMZTXNLWIY4HJ5TDLXP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7OU54SPBMZTXNLWIY4HJ5TDLXP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7OU54SPBMZTXNLWIY4HJ5TDLXP","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":"6524669942801b4c0b98df2b393898ab04afc4e2ae5afd2d08643c2f9fac5023","cross_cats_sorted":["physics.data-an","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-01-24T16:19:41Z","title_canon_sha256":"42d24a0d0078f8bd4219fba281a18e9266173e721bbd61b80eb0ad576ee4e372"},"schema_version":"1.0","source":{"id":"1501.06058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06058","created_at":"2026-05-18T02:28:46Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06058v1","created_at":"2026-05-18T02:28:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06058","created_at":"2026-05-18T02:28:46Z"},{"alias_kind":"pith_short_12","alias_value":"7OU54SPBMZTX","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7OU54SPBMZTXNLWI","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7OU54SPB","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:221cf4c5c2fb547f892f35525b93024d832be7b989fa63e620dbde2183357fd9","target":"graph","created_at":"2026-05-18T02:28:46Z","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":"Open flow network is a weighted directed graph with a source and a sink, depicting flux distributions on networks in the steady state of an open flow system. Energetic food webs, economic input-output networks, and international trade networks, are open flow network models of energy flows between species, money or value flows between industrial sectors, and goods flows between countries, respectively. Flow distances (first-passage or total) between any given two nodes $i$ and $j$ are defined as the average number of transition steps of a random walker along the network from $i$ to $j$ under so","authors_text":"Jiang Zhang, Jun Wang, Liangzhu Guo, Peiteng Shi, Xiaodan Lou, Xiaohan Huang","cross_cats":["physics.data-an","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-01-24T16:19:41Z","title":"Flow Distances on Open Flow Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06058","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:e88b69d92db1e3002c45ca6b57a2c2ee06f53c1ab83c3e38381da7a35182fc0a","target":"record","created_at":"2026-05-18T02:28:46Z","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":"6524669942801b4c0b98df2b393898ab04afc4e2ae5afd2d08643c2f9fac5023","cross_cats_sorted":["physics.data-an","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-01-24T16:19:41Z","title_canon_sha256":"42d24a0d0078f8bd4219fba281a18e9266173e721bbd61b80eb0ad576ee4e372"},"schema_version":"1.0","source":{"id":"1501.06058","kind":"arxiv","version":1}},"canonical_sha256":"fba9de49e1666776aec8c70e9ecc6bbbc3bfde4c55d2ea109bbc45e5e602baab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fba9de49e1666776aec8c70e9ecc6bbbc3bfde4c55d2ea109bbc45e5e602baab","first_computed_at":"2026-05-18T02:28:46.970726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:46.970726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rp6ULyVae0EUofcOUWal0qagUl4TWqO6cxPuIpqTtFgE6FJHSeCfPZPyF+9fzSRbuGqzSCS34MgOYjcbIddjDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:46.971122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e88b69d92db1e3002c45ca6b57a2c2ee06f53c1ab83c3e38381da7a35182fc0a","sha256:221cf4c5c2fb547f892f35525b93024d832be7b989fa63e620dbde2183357fd9"],"state_sha256":"511b5d3ab810d76b47bc3d35399039f042a28925b0e9a491cd28c45dd6ae672f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rHrqZQL8kLza9GJmWWIFnLb0UnY5N75pPE/DD9MFIZImiSA2tlkOUNx73iVinSx+J18JONYYkvtF7GKnkW7bBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T06:50:13.514001Z","bundle_sha256":"20a323a51155cd2eb86d88a9cce2dd47831087cc8a5da4137e9bea45782715b3"}}