{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5LBFTYNV6JEUQFP2O4S7SCCTJI","short_pith_number":"pith:5LBFTYNV","canonical_record":{"source":{"id":"1108.5893","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2011-08-30T09:51:39Z","cross_cats_sorted":["cs.DS","cs.NI"],"title_canon_sha256":"4af660301abe3c3059f574a22ce00e0d4d0a7f1de8ca23644106e6a791506d79","abstract_canon_sha256":"727121a316c7f30def1501323a1367bd5a23109ce790ce0db674460d189beb31"},"schema_version":"1.0"},"canonical_sha256":"eac259e1b5f2494815fa7725f908534a31ec6f4e394b79ceb3184d369c564dc7","source":{"kind":"arxiv","id":"1108.5893","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5893","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5893v1","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5893","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"5LBFTYNV6JEU","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5LBFTYNV6JEUQFP2","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5LBFTYNV","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5LBFTYNV6JEUQFP2O4S7SCCTJI","target":"record","payload":{"canonical_record":{"source":{"id":"1108.5893","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2011-08-30T09:51:39Z","cross_cats_sorted":["cs.DS","cs.NI"],"title_canon_sha256":"4af660301abe3c3059f574a22ce00e0d4d0a7f1de8ca23644106e6a791506d79","abstract_canon_sha256":"727121a316c7f30def1501323a1367bd5a23109ce790ce0db674460d189beb31"},"schema_version":"1.0"},"canonical_sha256":"eac259e1b5f2494815fa7725f908534a31ec6f4e394b79ceb3184d369c564dc7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:28.268078Z","signature_b64":"+EcdGhTceWbGTAyoXq0h1Rh58VAw1KkKnN/8MWggTBrIJg6CkrJ2FMdE6WTyy6+QwkGbKvujDG+dbpaXO5+XBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eac259e1b5f2494815fa7725f908534a31ec6f4e394b79ceb3184d369c564dc7","last_reissued_at":"2026-05-18T04:14:28.267509Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:28.267509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.5893","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":"2026-05-18T04:14:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1BXfoCytKrXO+LIb+l8AXGyXdR1Rtv+sqCU9grPA1XcSv2eAtHjR6gXecRcYoZwI0IgVWt+a+9/4WIavmQZnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:08:53.025462Z"},"content_sha256":"c3c82ee95a3ce3e6b285aadaa4c0bf4ea938ed5bf76f190ad6ddf9bdc62af710","schema_version":"1.0","event_id":"sha256:c3c82ee95a3ce3e6b285aadaa4c0bf4ea938ed5bf76f190ad6ddf9bdc62af710"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5LBFTYNV6JEUQFP2O4S7SCCTJI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Edge-preserving self-healing: keeping network backbones densely connected","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","cs.NI"],"primary_cat":"cs.DC","authors_text":"Amitabh Trehan, Atish Das Sarma","submitted_at":"2011-08-30T09:51:39Z","abstract_excerpt":"Healing algorithms play a crucial part in distributed P2P networks where failures occur continuously and frequently. Several self-healing algorithms have been suggested recently [IPDPS'08, PODC'08, PODC'09, PODC'11] in a line of work that has yielded gradual improvements in the properties ensured on the graph. This work motivates a strong general phenomenon of edge-preserving healing that aims at obtaining self-healing algorithms with the constraint that all original edges in the graph (not deleted by the adversary), be retained in every intermediate graph.\n  The previous algorithms, in their "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5893","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":"2026-05-18T04:14:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4+nZAkRFOAQlmHHcr0QYTMdYBBG4Rq0/LFl/e9UiiJgfYoSYzWGZjgBnmuHVX7sdoGVKSEsOB/VZbJNEmfffBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:08:53.026260Z"},"content_sha256":"023be1a4f4aea9df8bbca837f597b44fc0f2d968c414301cd7757d0d2170d685","schema_version":"1.0","event_id":"sha256:023be1a4f4aea9df8bbca837f597b44fc0f2d968c414301cd7757d0d2170d685"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5LBFTYNV6JEUQFP2O4S7SCCTJI/bundle.json","state_url":"https://pith.science/pith/5LBFTYNV6JEUQFP2O4S7SCCTJI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5LBFTYNV6JEUQFP2O4S7SCCTJI/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":"2026-06-11T22:08:53Z","links":{"resolver":"https://pith.science/pith/5LBFTYNV6JEUQFP2O4S7SCCTJI","bundle":"https://pith.science/pith/5LBFTYNV6JEUQFP2O4S7SCCTJI/bundle.json","state":"https://pith.science/pith/5LBFTYNV6JEUQFP2O4S7SCCTJI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5LBFTYNV6JEUQFP2O4S7SCCTJI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5LBFTYNV6JEUQFP2O4S7SCCTJI","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":"727121a316c7f30def1501323a1367bd5a23109ce790ce0db674460d189beb31","cross_cats_sorted":["cs.DS","cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2011-08-30T09:51:39Z","title_canon_sha256":"4af660301abe3c3059f574a22ce00e0d4d0a7f1de8ca23644106e6a791506d79"},"schema_version":"1.0","source":{"id":"1108.5893","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5893","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5893v1","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5893","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"5LBFTYNV6JEU","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5LBFTYNV6JEUQFP2","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5LBFTYNV","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:023be1a4f4aea9df8bbca837f597b44fc0f2d968c414301cd7757d0d2170d685","target":"graph","created_at":"2026-05-18T04:14:28Z","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":"Healing algorithms play a crucial part in distributed P2P networks where failures occur continuously and frequently. Several self-healing algorithms have been suggested recently [IPDPS'08, PODC'08, PODC'09, PODC'11] in a line of work that has yielded gradual improvements in the properties ensured on the graph. This work motivates a strong general phenomenon of edge-preserving healing that aims at obtaining self-healing algorithms with the constraint that all original edges in the graph (not deleted by the adversary), be retained in every intermediate graph.\n  The previous algorithms, in their ","authors_text":"Amitabh Trehan, Atish Das Sarma","cross_cats":["cs.DS","cs.NI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2011-08-30T09:51:39Z","title":"Edge-preserving self-healing: keeping network backbones densely connected"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5893","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:c3c82ee95a3ce3e6b285aadaa4c0bf4ea938ed5bf76f190ad6ddf9bdc62af710","target":"record","created_at":"2026-05-18T04:14:28Z","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":"727121a316c7f30def1501323a1367bd5a23109ce790ce0db674460d189beb31","cross_cats_sorted":["cs.DS","cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2011-08-30T09:51:39Z","title_canon_sha256":"4af660301abe3c3059f574a22ce00e0d4d0a7f1de8ca23644106e6a791506d79"},"schema_version":"1.0","source":{"id":"1108.5893","kind":"arxiv","version":1}},"canonical_sha256":"eac259e1b5f2494815fa7725f908534a31ec6f4e394b79ceb3184d369c564dc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eac259e1b5f2494815fa7725f908534a31ec6f4e394b79ceb3184d369c564dc7","first_computed_at":"2026-05-18T04:14:28.267509Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:28.267509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+EcdGhTceWbGTAyoXq0h1Rh58VAw1KkKnN/8MWggTBrIJg6CkrJ2FMdE6WTyy6+QwkGbKvujDG+dbpaXO5+XBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:28.268078Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5893","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3c82ee95a3ce3e6b285aadaa4c0bf4ea938ed5bf76f190ad6ddf9bdc62af710","sha256:023be1a4f4aea9df8bbca837f597b44fc0f2d968c414301cd7757d0d2170d685"],"state_sha256":"3fd7528461a2682102283034090028544b970d993fa675d091bdfeb2a01cc412"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SF5Zu+kv1HBphlpFz9m88OaBDb3EMjxxOrnEx0fUfgRHskK5W4sH6FwFYn1/NG3yU7+p9Np2RdEAFXiAjnOqBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:08:53.031586Z","bundle_sha256":"2522fb7c309492a7df10068bfb2e26201631ae3c337e1e7e2e2562b05dcc4658"}}