{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:KVAAUP6LCT5BM57JVY3C4L33BT","short_pith_number":"pith:KVAAUP6L","canonical_record":{"source":{"id":"2402.12148","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2024-02-19T14:01:34Z","cross_cats_sorted":["cs.DM","cs.DS"],"title_canon_sha256":"f544c8c4ea44ead17aea594f8e522df3b46a52a7a9b588473136126e613da31a","abstract_canon_sha256":"31e912cc885f4b4adee44d24b0c9f744e2e0f202bf24ebdd105a01325abaaf33"},"schema_version":"1.0"},"canonical_sha256":"55400a3fcb14fa1677e9ae362e2f7b0cf8844940e6f06455393f9a306c5bed34","source":{"kind":"arxiv","id":"2402.12148","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.12148","created_at":"2026-07-05T09:15:29Z"},{"alias_kind":"arxiv_version","alias_value":"2402.12148v2","created_at":"2026-07-05T09:15:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.12148","created_at":"2026-07-05T09:15:29Z"},{"alias_kind":"pith_short_12","alias_value":"KVAAUP6LCT5B","created_at":"2026-07-05T09:15:29Z"},{"alias_kind":"pith_short_16","alias_value":"KVAAUP6LCT5BM57J","created_at":"2026-07-05T09:15:29Z"},{"alias_kind":"pith_short_8","alias_value":"KVAAUP6L","created_at":"2026-07-05T09:15:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:KVAAUP6LCT5BM57JVY3C4L33BT","target":"record","payload":{"canonical_record":{"source":{"id":"2402.12148","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2024-02-19T14:01:34Z","cross_cats_sorted":["cs.DM","cs.DS"],"title_canon_sha256":"f544c8c4ea44ead17aea594f8e522df3b46a52a7a9b588473136126e613da31a","abstract_canon_sha256":"31e912cc885f4b4adee44d24b0c9f744e2e0f202bf24ebdd105a01325abaaf33"},"schema_version":"1.0"},"canonical_sha256":"55400a3fcb14fa1677e9ae362e2f7b0cf8844940e6f06455393f9a306c5bed34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:15:29.861165Z","signature_b64":"JgDhZdsnwL1SFTFk7//fzSP5TSC2voMryCX8BLSW6uWf5jX++HkwbRIvzjdCSamyOTMSzm138b34XfxtCeKkDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55400a3fcb14fa1677e9ae362e2f7b0cf8844940e6f06455393f9a306c5bed34","last_reissued_at":"2026-07-05T09:15:29.860633Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:15:29.860633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.12148","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":"2026-07-05T09:15:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i4Tme5WYttYA8BUB5kAzzV9r7wFOPLRqUjYyIhVae5MrUzrCEy2EsjkqUOhpNeMwHjk2GXCkbHg1hPty/MUjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:29:33.118984Z"},"content_sha256":"22512b92aa98c161e53c709a3f19a4dd55a60ff084cc81c36aaa45c7294bdbdd","schema_version":"1.0","event_id":"sha256:22512b92aa98c161e53c709a3f19a4dd55a60ff084cc81c36aaa45c7294bdbdd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:KVAAUP6LCT5BM57JVY3C4L33BT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local certification of forbidden subgraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","cs.DS"],"primary_cat":"cs.DC","authors_text":"Laurent Feuilloley, Linda Cook, Nicolas Bousquet, S\\'ebastien Zeitoun, Th\\'eo Pierron","submitted_at":"2024-02-19T14:01:34Z","abstract_excerpt":"Detecting specific structures in a network has been a very active theme of research in distributed computing for at least a decade. In this paper, we start the study of subgraph detection from the perspective of local certification. Remember that a local certification is a distributed mechanism enabling the nodes of a network to check the correctness of the current configuration, thanks to small pieces of information called certificates. Our main question is: For a given graph $H$, what is the minimum certificate size that allows checking that the network does not contain $H$ as a (possibly in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.12148","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/2402.12148/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":"2026-07-05T09:15:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SDUsuH0fJu4g2b0WNtmcPFABBOz2FUks2neXDmIbBWS43jxDeLZP2UzKO1pwp81fGtkyopmCnaLVCEG94e00DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:29:33.119504Z"},"content_sha256":"0f9f3e6f2ed9984928aef34e945cf3d7d7d2fd2323948cb8e160ffbc122673ac","schema_version":"1.0","event_id":"sha256:0f9f3e6f2ed9984928aef34e945cf3d7d7d2fd2323948cb8e160ffbc122673ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KVAAUP6LCT5BM57JVY3C4L33BT/bundle.json","state_url":"https://pith.science/pith/KVAAUP6LCT5BM57JVY3C4L33BT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KVAAUP6LCT5BM57JVY3C4L33BT/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":"2026-08-09T05:29:33Z","links":{"resolver":"https://pith.science/pith/KVAAUP6LCT5BM57JVY3C4L33BT","bundle":"https://pith.science/pith/KVAAUP6LCT5BM57JVY3C4L33BT/bundle.json","state":"https://pith.science/pith/KVAAUP6LCT5BM57JVY3C4L33BT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KVAAUP6LCT5BM57JVY3C4L33BT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KVAAUP6LCT5BM57JVY3C4L33BT","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":"31e912cc885f4b4adee44d24b0c9f744e2e0f202bf24ebdd105a01325abaaf33","cross_cats_sorted":["cs.DM","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2024-02-19T14:01:34Z","title_canon_sha256":"f544c8c4ea44ead17aea594f8e522df3b46a52a7a9b588473136126e613da31a"},"schema_version":"1.0","source":{"id":"2402.12148","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.12148","created_at":"2026-07-05T09:15:29Z"},{"alias_kind":"arxiv_version","alias_value":"2402.12148v2","created_at":"2026-07-05T09:15:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.12148","created_at":"2026-07-05T09:15:29Z"},{"alias_kind":"pith_short_12","alias_value":"KVAAUP6LCT5B","created_at":"2026-07-05T09:15:29Z"},{"alias_kind":"pith_short_16","alias_value":"KVAAUP6LCT5BM57J","created_at":"2026-07-05T09:15:29Z"},{"alias_kind":"pith_short_8","alias_value":"KVAAUP6L","created_at":"2026-07-05T09:15:29Z"}],"graph_snapshots":[{"event_id":"sha256:0f9f3e6f2ed9984928aef34e945cf3d7d7d2fd2323948cb8e160ffbc122673ac","target":"graph","created_at":"2026-07-05T09:15:29Z","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/2402.12148/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Detecting specific structures in a network has been a very active theme of research in distributed computing for at least a decade. In this paper, we start the study of subgraph detection from the perspective of local certification. Remember that a local certification is a distributed mechanism enabling the nodes of a network to check the correctness of the current configuration, thanks to small pieces of information called certificates. Our main question is: For a given graph $H$, what is the minimum certificate size that allows checking that the network does not contain $H$ as a (possibly in","authors_text":"Laurent Feuilloley, Linda Cook, Nicolas Bousquet, S\\'ebastien Zeitoun, Th\\'eo Pierron","cross_cats":["cs.DM","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2024-02-19T14:01:34Z","title":"Local certification of forbidden subgraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.12148","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":"sha256:22512b92aa98c161e53c709a3f19a4dd55a60ff084cc81c36aaa45c7294bdbdd","target":"record","created_at":"2026-07-05T09:15:29Z","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":"31e912cc885f4b4adee44d24b0c9f744e2e0f202bf24ebdd105a01325abaaf33","cross_cats_sorted":["cs.DM","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2024-02-19T14:01:34Z","title_canon_sha256":"f544c8c4ea44ead17aea594f8e522df3b46a52a7a9b588473136126e613da31a"},"schema_version":"1.0","source":{"id":"2402.12148","kind":"arxiv","version":2}},"canonical_sha256":"55400a3fcb14fa1677e9ae362e2f7b0cf8844940e6f06455393f9a306c5bed34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55400a3fcb14fa1677e9ae362e2f7b0cf8844940e6f06455393f9a306c5bed34","first_computed_at":"2026-07-05T09:15:29.860633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:15:29.860633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JgDhZdsnwL1SFTFk7//fzSP5TSC2voMryCX8BLSW6uWf5jX++HkwbRIvzjdCSamyOTMSzm138b34XfxtCeKkDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:15:29.861165Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.12148","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22512b92aa98c161e53c709a3f19a4dd55a60ff084cc81c36aaa45c7294bdbdd","sha256:0f9f3e6f2ed9984928aef34e945cf3d7d7d2fd2323948cb8e160ffbc122673ac"],"state_sha256":"fc8b33a03e45ab960b4836ebf33b05f201d86288af57f36555e516fe4792dcb9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rJ2jTcu+nA1W7h7Dd3PIYaAxmmlvX36ecYyuN4k4QbuA8j33H+dAoxE4sHerbfIvENebg40uYTZp6vUQFwibDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T05:29:33.123461Z","bundle_sha256":"a3e7e8adf925d78c3db5b88c8d67ec644d8c92deb239767ec56dc02dc7fa42e4"}}