{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SMVO4DN2CPEFVIX4UV6RCJWK5Z","short_pith_number":"pith:SMVO4DN2","canonical_record":{"source":{"id":"1704.08626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-04-27T15:45:58Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"5a3aaf394c1e51d51f99a9ab51b1b1ed945eee3fe790c34cbc7ecf2057352c6f","abstract_canon_sha256":"04919008c30bec3f7ae42dd516caedc2219f35172d3560ce7d783c11f17881bf"},"schema_version":"1.0"},"canonical_sha256":"932aee0dba13c85aa2fca57d1126caee71605ee1efe74dfdf67683d5138dca77","source":{"kind":"arxiv","id":"1704.08626","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.08626","created_at":"2026-05-18T00:43:25Z"},{"alias_kind":"arxiv_version","alias_value":"1704.08626v1","created_at":"2026-05-18T00:43:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08626","created_at":"2026-05-18T00:43:25Z"},{"alias_kind":"pith_short_12","alias_value":"SMVO4DN2CPEF","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SMVO4DN2CPEFVIX4","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SMVO4DN2","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SMVO4DN2CPEFVIX4UV6RCJWK5Z","target":"record","payload":{"canonical_record":{"source":{"id":"1704.08626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-04-27T15:45:58Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"5a3aaf394c1e51d51f99a9ab51b1b1ed945eee3fe790c34cbc7ecf2057352c6f","abstract_canon_sha256":"04919008c30bec3f7ae42dd516caedc2219f35172d3560ce7d783c11f17881bf"},"schema_version":"1.0"},"canonical_sha256":"932aee0dba13c85aa2fca57d1126caee71605ee1efe74dfdf67683d5138dca77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:25.328662Z","signature_b64":"ao79MBbFm8qG9wzqcg1sR5kIbCVymvZqQkuZiPOTxn2JmjkYt667VSwV0BODwlx6pxM6sJJ89YzbmhYjKAwZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"932aee0dba13c85aa2fca57d1126caee71605ee1efe74dfdf67683d5138dca77","last_reissued_at":"2026-05-18T00:43:25.328143Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:25.328143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.08626","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":"2026-05-18T00:43:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"le+IxMKnx60TfX8QWI4G2h42moXQhPVlPOYvitY1GtS511yDBtO45WRc0oXfWezh1P2dlBoQ4/RLUC2soPYkBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:07:40.574606Z"},"content_sha256":"5b35f54345b4ae2cdb6aa1f394b3f85ee914b286d9be1e35b8760d47c2201f6b","schema_version":"1.0","event_id":"sha256:5b35f54345b4ae2cdb6aa1f394b3f85ee914b286d9be1e35b8760d47c2201f6b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SMVO4DN2CPEFVIX4UV6RCJWK5Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Epidemic Extinction Paths in Complex Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"physics.soc-ph","authors_text":"Ira B. Schwartz, Jason Hindes","submitted_at":"2017-04-27T15:45:58Z","abstract_excerpt":"We study the extinction of long-lived epidemics on finite complex networks induced by intrinsic noise. Applying analytical techniques to the stochastic Susceptible-Infected-Susceptible model, we predict the distribution of large fluctuations, the most probable, or optimal path through a network that leads to a disease-free state from an endemic state, and the average extinction time in general configurations. Our predictions agree with Monte-Carlo simulations on several networks, including synthetic weighted and degree-distributed networks with degree correlations, and an empirical high school"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08626","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":"2026-05-18T00:43:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dM/AUSqMWd42ESnMA0CHg8aVB4sGjyy36yvAwf6MGgi470g+F0ycbq+R4mw3+1HBtrlVzbGtAce7hIugq1qlAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:07:40.575296Z"},"content_sha256":"60ba67e06a6fd4deac147ccac4aeb5444e3f76c1a1273cdf80cb019d4d6651df","schema_version":"1.0","event_id":"sha256:60ba67e06a6fd4deac147ccac4aeb5444e3f76c1a1273cdf80cb019d4d6651df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SMVO4DN2CPEFVIX4UV6RCJWK5Z/bundle.json","state_url":"https://pith.science/pith/SMVO4DN2CPEFVIX4UV6RCJWK5Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SMVO4DN2CPEFVIX4UV6RCJWK5Z/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":"2026-05-27T09:07:40Z","links":{"resolver":"https://pith.science/pith/SMVO4DN2CPEFVIX4UV6RCJWK5Z","bundle":"https://pith.science/pith/SMVO4DN2CPEFVIX4UV6RCJWK5Z/bundle.json","state":"https://pith.science/pith/SMVO4DN2CPEFVIX4UV6RCJWK5Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SMVO4DN2CPEFVIX4UV6RCJWK5Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SMVO4DN2CPEFVIX4UV6RCJWK5Z","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":"04919008c30bec3f7ae42dd516caedc2219f35172d3560ce7d783c11f17881bf","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-04-27T15:45:58Z","title_canon_sha256":"5a3aaf394c1e51d51f99a9ab51b1b1ed945eee3fe790c34cbc7ecf2057352c6f"},"schema_version":"1.0","source":{"id":"1704.08626","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.08626","created_at":"2026-05-18T00:43:25Z"},{"alias_kind":"arxiv_version","alias_value":"1704.08626v1","created_at":"2026-05-18T00:43:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08626","created_at":"2026-05-18T00:43:25Z"},{"alias_kind":"pith_short_12","alias_value":"SMVO4DN2CPEF","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SMVO4DN2CPEFVIX4","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SMVO4DN2","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:60ba67e06a6fd4deac147ccac4aeb5444e3f76c1a1273cdf80cb019d4d6651df","target":"graph","created_at":"2026-05-18T00:43:25Z","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":"We study the extinction of long-lived epidemics on finite complex networks induced by intrinsic noise. Applying analytical techniques to the stochastic Susceptible-Infected-Susceptible model, we predict the distribution of large fluctuations, the most probable, or optimal path through a network that leads to a disease-free state from an endemic state, and the average extinction time in general configurations. Our predictions agree with Monte-Carlo simulations on several networks, including synthetic weighted and degree-distributed networks with degree correlations, and an empirical high school","authors_text":"Ira B. Schwartz, Jason Hindes","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-04-27T15:45:58Z","title":"Epidemic Extinction Paths in Complex Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08626","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":"sha256:5b35f54345b4ae2cdb6aa1f394b3f85ee914b286d9be1e35b8760d47c2201f6b","target":"record","created_at":"2026-05-18T00:43:25Z","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":"04919008c30bec3f7ae42dd516caedc2219f35172d3560ce7d783c11f17881bf","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-04-27T15:45:58Z","title_canon_sha256":"5a3aaf394c1e51d51f99a9ab51b1b1ed945eee3fe790c34cbc7ecf2057352c6f"},"schema_version":"1.0","source":{"id":"1704.08626","kind":"arxiv","version":1}},"canonical_sha256":"932aee0dba13c85aa2fca57d1126caee71605ee1efe74dfdf67683d5138dca77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"932aee0dba13c85aa2fca57d1126caee71605ee1efe74dfdf67683d5138dca77","first_computed_at":"2026-05-18T00:43:25.328143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:25.328143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ao79MBbFm8qG9wzqcg1sR5kIbCVymvZqQkuZiPOTxn2JmjkYt667VSwV0BODwlx6pxM6sJJ89YzbmhYjKAwZBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:25.328662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.08626","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b35f54345b4ae2cdb6aa1f394b3f85ee914b286d9be1e35b8760d47c2201f6b","sha256:60ba67e06a6fd4deac147ccac4aeb5444e3f76c1a1273cdf80cb019d4d6651df"],"state_sha256":"929b0058b7ea83a87f3ce66a358bb12c7d0ecef61f67ce64c891954fb0b386cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jNJTTZDQq/Oo79e5gVaF5B/fR1QlyPlelv3ldejs5LcSRBNxkNyO+F8Vz9Qr20bVlusMf5sd7Tc80AzMcBPYCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:07:40.580567Z","bundle_sha256":"d6c4fce1bb4d0d192bca684e7f70c0d2e9c9430714f5c1a903bf5561f19562cc"}}