{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:56MR2L7J3FCAE2OGN3UN3RUNR7","short_pith_number":"pith:56MR2L7J","canonical_record":{"source":{"id":"2004.13491","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-04-28T13:26:15Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"853a86f2f453ee3c467951613757a935628b827ab241fef9c9a5249b1c7b2302","abstract_canon_sha256":"8e117868ebafe9fc74fafe7abc2e3a2a56613c46d9e546eab4cb263bd5c6c8e9"},"schema_version":"1.0"},"canonical_sha256":"ef991d2fe9d9440269c66ee8ddc68d8fd30791b32c65b916b10e180c091c7d8b","source":{"kind":"arxiv","id":"2004.13491","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.13491","created_at":"2026-07-05T00:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"2004.13491v1","created_at":"2026-07-05T00:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.13491","created_at":"2026-07-05T00:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"56MR2L7J3FCA","created_at":"2026-07-05T00:59:00Z"},{"alias_kind":"pith_short_16","alias_value":"56MR2L7J3FCAE2OG","created_at":"2026-07-05T00:59:00Z"},{"alias_kind":"pith_short_8","alias_value":"56MR2L7J","created_at":"2026-07-05T00:59:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:56MR2L7J3FCAE2OGN3UN3RUNR7","target":"record","payload":{"canonical_record":{"source":{"id":"2004.13491","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-04-28T13:26:15Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"853a86f2f453ee3c467951613757a935628b827ab241fef9c9a5249b1c7b2302","abstract_canon_sha256":"8e117868ebafe9fc74fafe7abc2e3a2a56613c46d9e546eab4cb263bd5c6c8e9"},"schema_version":"1.0"},"canonical_sha256":"ef991d2fe9d9440269c66ee8ddc68d8fd30791b32c65b916b10e180c091c7d8b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:59:00.148015Z","signature_b64":"l0s47HAvMFPfq4eYQJ7gQ+UUjWItDpfi/qJ3JquCLJfxV5pcoDv2hHAjFcQbaVtfDD+SGkIVqfWWj6+SszNqDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef991d2fe9d9440269c66ee8ddc68d8fd30791b32c65b916b10e180c091c7d8b","last_reissued_at":"2026-07-05T00:59:00.147649Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:59:00.147649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2004.13491","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":"2026-07-05T00:59:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"30cF2W1mmyJRrytlt3+Ux/JlHFN6GsQYtOEKHVWI3FVzwYumRJYrsbKuZIRcmeRx7UB8+5tzFpzImPnGkQCwAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T13:50:08.852741Z"},"content_sha256":"27e4ef7e76b2ef1db1d57fbb1a3b539d24c9d746d04df20a1b90fe2a15eee2c0","schema_version":"1.0","event_id":"sha256:27e4ef7e76b2ef1db1d57fbb1a3b539d24c9d746d04df20a1b90fe2a15eee2c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:56MR2L7J3FCAE2OGN3UN3RUNR7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"As Time Goes By: Reflections on Treewidth for Temporal Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"cs.DS","authors_text":"Hendrik Molter, Malte Renken, Philipp Zschoche, Rolf Niedermeier, Till Fluschnik","submitted_at":"2020-04-28T13:26:15Z","abstract_excerpt":"Treewidth is arguably the most important structural graph parameter leading to algorithmically beneficial graph decompositions. Triggered by a strongly growing interest in temporal networks (graphs where edge sets change over time), we discuss fresh algorithmic views on temporal tree decompositions and temporal treewidth. We review and explain some of the recent work together with some encountered pitfalls, and we point out challenges for future research."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.13491","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2004.13491/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":"2026-07-05T00:59:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NPOF55yANqGC/nsa8PLeEQ5js9W64wqFbvvIeRmw+Fh8+q11UJfSutXOv0q+vFWHRnv6vPZcfv3KFF+piMCzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T13:50:08.853113Z"},"content_sha256":"a69b4eb4d0283bd676b977ff8c07f160c25a95107b15c2b1a657f089e23d67a6","schema_version":"1.0","event_id":"sha256:a69b4eb4d0283bd676b977ff8c07f160c25a95107b15c2b1a657f089e23d67a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/56MR2L7J3FCAE2OGN3UN3RUNR7/bundle.json","state_url":"https://pith.science/pith/56MR2L7J3FCAE2OGN3UN3RUNR7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/56MR2L7J3FCAE2OGN3UN3RUNR7/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":"2026-07-06T13:50:08Z","links":{"resolver":"https://pith.science/pith/56MR2L7J3FCAE2OGN3UN3RUNR7","bundle":"https://pith.science/pith/56MR2L7J3FCAE2OGN3UN3RUNR7/bundle.json","state":"https://pith.science/pith/56MR2L7J3FCAE2OGN3UN3RUNR7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/56MR2L7J3FCAE2OGN3UN3RUNR7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:56MR2L7J3FCAE2OGN3UN3RUNR7","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":"8e117868ebafe9fc74fafe7abc2e3a2a56613c46d9e546eab4cb263bd5c6c8e9","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-04-28T13:26:15Z","title_canon_sha256":"853a86f2f453ee3c467951613757a935628b827ab241fef9c9a5249b1c7b2302"},"schema_version":"1.0","source":{"id":"2004.13491","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.13491","created_at":"2026-07-05T00:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"2004.13491v1","created_at":"2026-07-05T00:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.13491","created_at":"2026-07-05T00:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"56MR2L7J3FCA","created_at":"2026-07-05T00:59:00Z"},{"alias_kind":"pith_short_16","alias_value":"56MR2L7J3FCAE2OG","created_at":"2026-07-05T00:59:00Z"},{"alias_kind":"pith_short_8","alias_value":"56MR2L7J","created_at":"2026-07-05T00:59:00Z"}],"graph_snapshots":[{"event_id":"sha256:a69b4eb4d0283bd676b977ff8c07f160c25a95107b15c2b1a657f089e23d67a6","target":"graph","created_at":"2026-07-05T00:59:00Z","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/2004.13491/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Treewidth is arguably the most important structural graph parameter leading to algorithmically beneficial graph decompositions. Triggered by a strongly growing interest in temporal networks (graphs where edge sets change over time), we discuss fresh algorithmic views on temporal tree decompositions and temporal treewidth. We review and explain some of the recent work together with some encountered pitfalls, and we point out challenges for future research.","authors_text":"Hendrik Molter, Malte Renken, Philipp Zschoche, Rolf Niedermeier, Till Fluschnik","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-04-28T13:26:15Z","title":"As Time Goes By: Reflections on Treewidth for Temporal Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.13491","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":"sha256:27e4ef7e76b2ef1db1d57fbb1a3b539d24c9d746d04df20a1b90fe2a15eee2c0","target":"record","created_at":"2026-07-05T00:59:00Z","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":"8e117868ebafe9fc74fafe7abc2e3a2a56613c46d9e546eab4cb263bd5c6c8e9","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-04-28T13:26:15Z","title_canon_sha256":"853a86f2f453ee3c467951613757a935628b827ab241fef9c9a5249b1c7b2302"},"schema_version":"1.0","source":{"id":"2004.13491","kind":"arxiv","version":1}},"canonical_sha256":"ef991d2fe9d9440269c66ee8ddc68d8fd30791b32c65b916b10e180c091c7d8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef991d2fe9d9440269c66ee8ddc68d8fd30791b32c65b916b10e180c091c7d8b","first_computed_at":"2026-07-05T00:59:00.147649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:59:00.147649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l0s47HAvMFPfq4eYQJ7gQ+UUjWItDpfi/qJ3JquCLJfxV5pcoDv2hHAjFcQbaVtfDD+SGkIVqfWWj6+SszNqDg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:59:00.148015Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.13491","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27e4ef7e76b2ef1db1d57fbb1a3b539d24c9d746d04df20a1b90fe2a15eee2c0","sha256:a69b4eb4d0283bd676b977ff8c07f160c25a95107b15c2b1a657f089e23d67a6"],"state_sha256":"5af9de7e9fd4080965ae6c829b8f7a156c241241d2b1077693c3882e3b074e6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aI10EeFPRUtOj12nAXgUxQHqCqKyXFV8qkCUuqJfdSGaOlzXuf13ginOWXXhOA0dsVcFWvBoo9GsJc8axnE9CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T13:50:08.855035Z","bundle_sha256":"44a87d30293e0251aec8f20d396308a372e0eebaaf339427400e97bc293c7338"}}