{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:VHXVYWWTIAS5CBBRE4R4HOOZOW","short_pith_number":"pith:VHXVYWWT","canonical_record":{"source":{"id":"physics/0609077","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-09-09T01:09:20Z","cross_cats_sorted":["cond-mat.dis-nn","physics.soc-ph"],"title_canon_sha256":"253a5b71d2fab10c7b49ad9d5b39e5c126be3cb52d80c103285a4031d56c43a8","abstract_canon_sha256":"2849773980366983963a59fcb66d5f8b20e48e2eeb5ff26b89703b591aaf4681"},"schema_version":"1.0"},"canonical_sha256":"a9ef5c5ad34025d104312723c3b9d9759af72e1c3864cbea6cfe093009cacc19","source":{"kind":"arxiv","id":"physics/0609077","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0609077","created_at":"2026-07-04T17:02:46Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0609077v2","created_at":"2026-07-04T17:02:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0609077","created_at":"2026-07-04T17:02:46Z"},{"alias_kind":"pith_short_12","alias_value":"VHXVYWWTIAS5","created_at":"2026-07-04T17:02:46Z"},{"alias_kind":"pith_short_16","alias_value":"VHXVYWWTIAS5CBBR","created_at":"2026-07-04T17:02:46Z"},{"alias_kind":"pith_short_8","alias_value":"VHXVYWWT","created_at":"2026-07-04T17:02:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:VHXVYWWTIAS5CBBRE4R4HOOZOW","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0609077","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-09-09T01:09:20Z","cross_cats_sorted":["cond-mat.dis-nn","physics.soc-ph"],"title_canon_sha256":"253a5b71d2fab10c7b49ad9d5b39e5c126be3cb52d80c103285a4031d56c43a8","abstract_canon_sha256":"2849773980366983963a59fcb66d5f8b20e48e2eeb5ff26b89703b591aaf4681"},"schema_version":"1.0"},"canonical_sha256":"a9ef5c5ad34025d104312723c3b9d9759af72e1c3864cbea6cfe093009cacc19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:02:46.539660Z","signature_b64":"GqorOv/iyOI3QayqDyXKopFZnaf299XuOeBYXqIdmU7eA42yiwhXvnsjMWwHC3AG51XQ+GxKnqvErZnDXB8aBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9ef5c5ad34025d104312723c3b9d9759af72e1c3864cbea6cfe093009cacc19","last_reissued_at":"2026-07-04T17:02:46.539297Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:02:46.539297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0609077","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":"2026-07-04T17:02:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XTFSngAoL/p5PKVay/VmfNYiDp62Noirt7gA53RJGZIT0anh5q87EvOcSOsq2z1BKJHIuhWRkPEzEJ99LvyxDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:55:08.293730Z"},"content_sha256":"846544feec228f851148b5a76f25538242f8d2e589fffe33b791215ba3fe78be","schema_version":"1.0","event_id":"sha256:846544feec228f851148b5a76f25538242f8d2e589fffe33b791215ba3fe78be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:VHXVYWWTIAS5CBBRE4R4HOOZOW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analyzing Trails in Complex Networks","license":"","headline":"","cross_cats":["cond-mat.dis-nn","physics.soc-ph"],"primary_cat":"physics.comp-ph","authors_text":"Francisco Aparecido Rodrigues, Gonzalo Travieso, Luciano da Fontoura Costa","submitted_at":"2006-09-09T01:09:20Z","abstract_excerpt":"Even more interesting than the intricate organization of complex networks are the dynamical behavior of systems which such structures underly. Among the many types of dynamics, one particularly interesting category involves the evolution of trails left by moving agents progressing through random walks and dilating processes in a complex network. The emergence of trails is present in many dynamical process, such as pedestrian traffic, information flow and metabolic pathways. Important problems related with trails include the reconstruction of the trail and the identification of its source, when"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0609077","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/physics/0609077/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:02:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IGH+mAKkl2JiaaFGM6ZREqOVKE2WrrEB/hiyaNRQKo14V3ikpmV8slORq+r9NIJVmjsnxIexMi5vEOF+uZUdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:55:08.294101Z"},"content_sha256":"90030298201fdba3aa3ccf7cfd0189ccf8ba9192a38715f6bfa7b2e4995848c5","schema_version":"1.0","event_id":"sha256:90030298201fdba3aa3ccf7cfd0189ccf8ba9192a38715f6bfa7b2e4995848c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VHXVYWWTIAS5CBBRE4R4HOOZOW/bundle.json","state_url":"https://pith.science/pith/VHXVYWWTIAS5CBBRE4R4HOOZOW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VHXVYWWTIAS5CBBRE4R4HOOZOW/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":"2026-07-04T23:55:08Z","links":{"resolver":"https://pith.science/pith/VHXVYWWTIAS5CBBRE4R4HOOZOW","bundle":"https://pith.science/pith/VHXVYWWTIAS5CBBRE4R4HOOZOW/bundle.json","state":"https://pith.science/pith/VHXVYWWTIAS5CBBRE4R4HOOZOW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VHXVYWWTIAS5CBBRE4R4HOOZOW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:VHXVYWWTIAS5CBBRE4R4HOOZOW","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":"2849773980366983963a59fcb66d5f8b20e48e2eeb5ff26b89703b591aaf4681","cross_cats_sorted":["cond-mat.dis-nn","physics.soc-ph"],"license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-09-09T01:09:20Z","title_canon_sha256":"253a5b71d2fab10c7b49ad9d5b39e5c126be3cb52d80c103285a4031d56c43a8"},"schema_version":"1.0","source":{"id":"physics/0609077","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0609077","created_at":"2026-07-04T17:02:46Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0609077v2","created_at":"2026-07-04T17:02:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0609077","created_at":"2026-07-04T17:02:46Z"},{"alias_kind":"pith_short_12","alias_value":"VHXVYWWTIAS5","created_at":"2026-07-04T17:02:46Z"},{"alias_kind":"pith_short_16","alias_value":"VHXVYWWTIAS5CBBR","created_at":"2026-07-04T17:02:46Z"},{"alias_kind":"pith_short_8","alias_value":"VHXVYWWT","created_at":"2026-07-04T17:02:46Z"}],"graph_snapshots":[{"event_id":"sha256:90030298201fdba3aa3ccf7cfd0189ccf8ba9192a38715f6bfa7b2e4995848c5","target":"graph","created_at":"2026-07-04T17:02:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/physics/0609077/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Even more interesting than the intricate organization of complex networks are the dynamical behavior of systems which such structures underly. Among the many types of dynamics, one particularly interesting category involves the evolution of trails left by moving agents progressing through random walks and dilating processes in a complex network. The emergence of trails is present in many dynamical process, such as pedestrian traffic, information flow and metabolic pathways. Important problems related with trails include the reconstruction of the trail and the identification of its source, when","authors_text":"Francisco Aparecido Rodrigues, Gonzalo Travieso, Luciano da Fontoura Costa","cross_cats":["cond-mat.dis-nn","physics.soc-ph"],"headline":"","license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-09-09T01:09:20Z","title":"Analyzing Trails in Complex Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0609077","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":"sha256:846544feec228f851148b5a76f25538242f8d2e589fffe33b791215ba3fe78be","target":"record","created_at":"2026-07-04T17:02:46Z","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":"2849773980366983963a59fcb66d5f8b20e48e2eeb5ff26b89703b591aaf4681","cross_cats_sorted":["cond-mat.dis-nn","physics.soc-ph"],"license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-09-09T01:09:20Z","title_canon_sha256":"253a5b71d2fab10c7b49ad9d5b39e5c126be3cb52d80c103285a4031d56c43a8"},"schema_version":"1.0","source":{"id":"physics/0609077","kind":"arxiv","version":2}},"canonical_sha256":"a9ef5c5ad34025d104312723c3b9d9759af72e1c3864cbea6cfe093009cacc19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9ef5c5ad34025d104312723c3b9d9759af72e1c3864cbea6cfe093009cacc19","first_computed_at":"2026-07-04T17:02:46.539297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:02:46.539297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GqorOv/iyOI3QayqDyXKopFZnaf299XuOeBYXqIdmU7eA42yiwhXvnsjMWwHC3AG51XQ+GxKnqvErZnDXB8aBA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:02:46.539660Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0609077","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:846544feec228f851148b5a76f25538242f8d2e589fffe33b791215ba3fe78be","sha256:90030298201fdba3aa3ccf7cfd0189ccf8ba9192a38715f6bfa7b2e4995848c5"],"state_sha256":"7efee2fa9fe676270bdfbdf47ee71dd9243d11460a3670d092e23850ced801c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7HztwGRfIgCuZjYPit8nVgWJvk+A8/R4U9u4owXHRN+XGYWW7X9AJqMyfEmNBK3cGei613sp/ShLGm2l1r1DCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T23:55:08.296191Z","bundle_sha256":"72f81b94ab89fae4ff09ba937398858a97fef9b8aa51b214e62313df362261fc"}}