{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:DD3VFRGR6GW4F7W5O4Y5H2YHVV","short_pith_number":"pith:DD3VFRGR","canonical_record":{"source":{"id":"1101.5913","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-01-31T11:09:45Z","cross_cats_sorted":["cond-mat.dis-nn","cs.SI","physics.data-an"],"title_canon_sha256":"769f66088d3d6544f5902e824dda19ae699f794df9e3882eb2cc55924315e580","abstract_canon_sha256":"d64303797c5d7e2f5893e55c731b900b71e42e645ea61c3d688a2f372ce88ce5"},"schema_version":"1.0"},"canonical_sha256":"18f752c4d1f1adc2fedd7731d3eb07ad73e9e7f34ac94fec20ef6d6350316254","source":{"kind":"arxiv","id":"1101.5913","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5913","created_at":"2026-05-18T04:17:24Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5913v2","created_at":"2026-05-18T04:17:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5913","created_at":"2026-05-18T04:17:24Z"},{"alias_kind":"pith_short_12","alias_value":"DD3VFRGR6GW4","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DD3VFRGR6GW4F7W5","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DD3VFRGR","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:DD3VFRGR6GW4F7W5O4Y5H2YHVV","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5913","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-01-31T11:09:45Z","cross_cats_sorted":["cond-mat.dis-nn","cs.SI","physics.data-an"],"title_canon_sha256":"769f66088d3d6544f5902e824dda19ae699f794df9e3882eb2cc55924315e580","abstract_canon_sha256":"d64303797c5d7e2f5893e55c731b900b71e42e645ea61c3d688a2f372ce88ce5"},"schema_version":"1.0"},"canonical_sha256":"18f752c4d1f1adc2fedd7731d3eb07ad73e9e7f34ac94fec20ef6d6350316254","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:24.914059Z","signature_b64":"rFC+fxZ+fUwpGpF9IM1aTX+8j7iXBu0VuBIno4oIJoYH8/s4X73Vg91DLJfjVf7YvqvU8Vjswt+3VpJqezZOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18f752c4d1f1adc2fedd7731d3eb07ad73e9e7f34ac94fec20ef6d6350316254","last_reissued_at":"2026-05-18T04:17:24.913287Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:24.913287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5913","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":"2026-05-18T04:17:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pIhTxud+7vRIvAtNWd85rxeBacwRbSwohMu1EzQd08nI/2XnUkG/ZrjFTLBEm1kc4zzrWJqq7zotYIR3CxNWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T12:26:17.016880Z"},"content_sha256":"cb893153d0bdb06fb07a6ffdfbe23d1f20f0a3b8553a1a543e6df0d6f514aafe","schema_version":"1.0","event_id":"sha256:cb893153d0bdb06fb07a6ffdfbe23d1f20f0a3b8553a1a543e6df0d6f514aafe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:DD3VFRGR6GW4F7W5O4Y5H2YHVV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Path lengths, correlations, and centrality in temporal networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cs.SI","physics.data-an"],"primary_cat":"physics.soc-ph","authors_text":"Jari Saram\\\"aki, Raj Kumar Pan","submitted_at":"2011-01-31T11:09:45Z","abstract_excerpt":"In temporal networks, where nodes interact via sequences of temporary events, information or resources can only flow through paths that follow the time-ordering of events. Such temporal paths play a crucial role in dynamic processes. However, since networks have so far been usually considered static or quasi-static, the properties of temporal paths are not yet well understood. Building on a definition and algorithmic implementation of the average temporal distance between nodes, we study temporal paths in empirical networks of human communication and air transport. Although temporal distances "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5913","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":"2026-05-18T04:17:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dT7NxtGbKLDk0Nlo2H8hKvLo9GgYoHRiD11+zOVGulwdcPHqmtGzMC6QO3NCRY0OfjS0qGYLjk6XwQMOCdV1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T12:26:17.017228Z"},"content_sha256":"f7803bda7e7f2a555f462c0c35d5edd7cdc6790c4fba49a8f766f021d25b6a77","schema_version":"1.0","event_id":"sha256:f7803bda7e7f2a555f462c0c35d5edd7cdc6790c4fba49a8f766f021d25b6a77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DD3VFRGR6GW4F7W5O4Y5H2YHVV/bundle.json","state_url":"https://pith.science/pith/DD3VFRGR6GW4F7W5O4Y5H2YHVV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DD3VFRGR6GW4F7W5O4Y5H2YHVV/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":"2026-06-20T12:26:17Z","links":{"resolver":"https://pith.science/pith/DD3VFRGR6GW4F7W5O4Y5H2YHVV","bundle":"https://pith.science/pith/DD3VFRGR6GW4F7W5O4Y5H2YHVV/bundle.json","state":"https://pith.science/pith/DD3VFRGR6GW4F7W5O4Y5H2YHVV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DD3VFRGR6GW4F7W5O4Y5H2YHVV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DD3VFRGR6GW4F7W5O4Y5H2YHVV","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":"d64303797c5d7e2f5893e55c731b900b71e42e645ea61c3d688a2f372ce88ce5","cross_cats_sorted":["cond-mat.dis-nn","cs.SI","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-01-31T11:09:45Z","title_canon_sha256":"769f66088d3d6544f5902e824dda19ae699f794df9e3882eb2cc55924315e580"},"schema_version":"1.0","source":{"id":"1101.5913","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5913","created_at":"2026-05-18T04:17:24Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5913v2","created_at":"2026-05-18T04:17:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5913","created_at":"2026-05-18T04:17:24Z"},{"alias_kind":"pith_short_12","alias_value":"DD3VFRGR6GW4","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DD3VFRGR6GW4F7W5","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DD3VFRGR","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:f7803bda7e7f2a555f462c0c35d5edd7cdc6790c4fba49a8f766f021d25b6a77","target":"graph","created_at":"2026-05-18T04:17:24Z","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 temporal networks, where nodes interact via sequences of temporary events, information or resources can only flow through paths that follow the time-ordering of events. Such temporal paths play a crucial role in dynamic processes. However, since networks have so far been usually considered static or quasi-static, the properties of temporal paths are not yet well understood. Building on a definition and algorithmic implementation of the average temporal distance between nodes, we study temporal paths in empirical networks of human communication and air transport. Although temporal distances ","authors_text":"Jari Saram\\\"aki, Raj Kumar Pan","cross_cats":["cond-mat.dis-nn","cs.SI","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-01-31T11:09:45Z","title":"Path lengths, correlations, and centrality in temporal networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5913","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:cb893153d0bdb06fb07a6ffdfbe23d1f20f0a3b8553a1a543e6df0d6f514aafe","target":"record","created_at":"2026-05-18T04:17:24Z","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":"d64303797c5d7e2f5893e55c731b900b71e42e645ea61c3d688a2f372ce88ce5","cross_cats_sorted":["cond-mat.dis-nn","cs.SI","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-01-31T11:09:45Z","title_canon_sha256":"769f66088d3d6544f5902e824dda19ae699f794df9e3882eb2cc55924315e580"},"schema_version":"1.0","source":{"id":"1101.5913","kind":"arxiv","version":2}},"canonical_sha256":"18f752c4d1f1adc2fedd7731d3eb07ad73e9e7f34ac94fec20ef6d6350316254","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18f752c4d1f1adc2fedd7731d3eb07ad73e9e7f34ac94fec20ef6d6350316254","first_computed_at":"2026-05-18T04:17:24.913287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:24.913287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rFC+fxZ+fUwpGpF9IM1aTX+8j7iXBu0VuBIno4oIJoYH8/s4X73Vg91DLJfjVf7YvqvU8Vjswt+3VpJqezZOBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:24.914059Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5913","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb893153d0bdb06fb07a6ffdfbe23d1f20f0a3b8553a1a543e6df0d6f514aafe","sha256:f7803bda7e7f2a555f462c0c35d5edd7cdc6790c4fba49a8f766f021d25b6a77"],"state_sha256":"c2cc424411e1d754db5940343df9a02e4ba41f2c2edc14319fbe6bfe37b0d192"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gG+Ndu36Al3tvelD5ImHDh/AyJ0QO4SquJt1PEhzBosGMK4m9TsGdccYAhzqLlVlcrCU72IDr5VVlZ2ro+RRAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T12:26:17.019221Z","bundle_sha256":"119a8951e1202dc660bd91829e4c69c3a28f8be12dc786bf3d19fb2bb2c744e3"}}