{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:IISGTTBOC7S2SKO66L56RJYE33","short_pith_number":"pith:IISGTTBO","canonical_record":{"source":{"id":"1906.09949","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-06-24T13:34:48Z","cross_cats_sorted":[],"title_canon_sha256":"add20a9991b431ea75a1334c83ab90fd9494cf865a774e4636408949e1773e77","abstract_canon_sha256":"bf15e309b392fb05543cefe784988404327db238f9f77a7c6127cbec720c541e"},"schema_version":"1.0"},"canonical_sha256":"422469cc2e17e5a929def2fbe8a704ded09bc0deaa1d3e53350a01479e7590e8","source":{"kind":"arxiv","id":"1906.09949","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09949","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09949v1","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09949","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"pith_short_12","alias_value":"IISGTTBOC7S2","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IISGTTBOC7S2SKO6","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IISGTTBO","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:IISGTTBOC7S2SKO66L56RJYE33","target":"record","payload":{"canonical_record":{"source":{"id":"1906.09949","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-06-24T13:34:48Z","cross_cats_sorted":[],"title_canon_sha256":"add20a9991b431ea75a1334c83ab90fd9494cf865a774e4636408949e1773e77","abstract_canon_sha256":"bf15e309b392fb05543cefe784988404327db238f9f77a7c6127cbec720c541e"},"schema_version":"1.0"},"canonical_sha256":"422469cc2e17e5a929def2fbe8a704ded09bc0deaa1d3e53350a01479e7590e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:36.034619Z","signature_b64":"uJDTar1kOcIsmSWnmJKx/rb1T/Ks1ugHfktPjtJ1UtSGDU5bLygXOU401WSuCKF63G1vkOxYAOTCmzsmIiIJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"422469cc2e17e5a929def2fbe8a704ded09bc0deaa1d3e53350a01479e7590e8","last_reissued_at":"2026-05-17T23:42:36.033943Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:36.033943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.09949","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":"2026-05-17T23:42:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4BDLaMQCAKPQIeT/tpOvpI/xF2h3dxE0Xbna3xQ/82cXnZ5ijHIBBC012gOMXs4OSApoVTHbnD4AeQI7lWEUBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T04:09:43.833710Z"},"content_sha256":"25813b39b353aa645ddab6a28b206da5c5dfe9f4b74d1e96802b0ac976a19dd6","schema_version":"1.0","event_id":"sha256:25813b39b353aa645ddab6a28b206da5c5dfe9f4b74d1e96802b0ac976a19dd6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:IISGTTBOC7S2SKO66L56RJYE33","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time Scales of the Fredrickson-Andersen Model on Polluted $\\mathbb{Z}^{2}$ and $\\mathbb{Z}^{3}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Assaf Shapira, Erik Slivken","submitted_at":"2019-06-24T13:34:48Z","abstract_excerpt":"We study the Kinetically Constrained Model on the polluted square lattice, with two-neighbor constraints. For a quenched polluted environment with low pollution density we give bounds on the infection time of the origin."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09949","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":"2026-05-17T23:42:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ViRl7v/Ku7NUxbr+NiMcQlam4znZL606NVDquvoLgOLCNoR1IGES/DDoyWHIr7RVUBcGbjoqGuPFgotAeAZ5DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T04:09:43.834047Z"},"content_sha256":"a043cab570dff229f603a293a28292910763e78dfb68f611be5e579c6288afbe","schema_version":"1.0","event_id":"sha256:a043cab570dff229f603a293a28292910763e78dfb68f611be5e579c6288afbe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IISGTTBOC7S2SKO66L56RJYE33/bundle.json","state_url":"https://pith.science/pith/IISGTTBOC7S2SKO66L56RJYE33/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IISGTTBOC7S2SKO66L56RJYE33/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":"2026-06-22T04:09:43Z","links":{"resolver":"https://pith.science/pith/IISGTTBOC7S2SKO66L56RJYE33","bundle":"https://pith.science/pith/IISGTTBOC7S2SKO66L56RJYE33/bundle.json","state":"https://pith.science/pith/IISGTTBOC7S2SKO66L56RJYE33/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IISGTTBOC7S2SKO66L56RJYE33/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IISGTTBOC7S2SKO66L56RJYE33","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":"bf15e309b392fb05543cefe784988404327db238f9f77a7c6127cbec720c541e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-06-24T13:34:48Z","title_canon_sha256":"add20a9991b431ea75a1334c83ab90fd9494cf865a774e4636408949e1773e77"},"schema_version":"1.0","source":{"id":"1906.09949","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09949","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09949v1","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09949","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"pith_short_12","alias_value":"IISGTTBOC7S2","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IISGTTBOC7S2SKO6","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IISGTTBO","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:a043cab570dff229f603a293a28292910763e78dfb68f611be5e579c6288afbe","target":"graph","created_at":"2026-05-17T23:42:36Z","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 Kinetically Constrained Model on the polluted square lattice, with two-neighbor constraints. For a quenched polluted environment with low pollution density we give bounds on the infection time of the origin.","authors_text":"Assaf Shapira, Erik Slivken","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-06-24T13:34:48Z","title":"Time Scales of the Fredrickson-Andersen Model on Polluted $\\mathbb{Z}^{2}$ and $\\mathbb{Z}^{3}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09949","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":"sha256:25813b39b353aa645ddab6a28b206da5c5dfe9f4b74d1e96802b0ac976a19dd6","target":"record","created_at":"2026-05-17T23:42:36Z","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":"bf15e309b392fb05543cefe784988404327db238f9f77a7c6127cbec720c541e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-06-24T13:34:48Z","title_canon_sha256":"add20a9991b431ea75a1334c83ab90fd9494cf865a774e4636408949e1773e77"},"schema_version":"1.0","source":{"id":"1906.09949","kind":"arxiv","version":1}},"canonical_sha256":"422469cc2e17e5a929def2fbe8a704ded09bc0deaa1d3e53350a01479e7590e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"422469cc2e17e5a929def2fbe8a704ded09bc0deaa1d3e53350a01479e7590e8","first_computed_at":"2026-05-17T23:42:36.033943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:36.033943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uJDTar1kOcIsmSWnmJKx/rb1T/Ks1ugHfktPjtJ1UtSGDU5bLygXOU401WSuCKF63G1vkOxYAOTCmzsmIiIJDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:36.034619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.09949","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25813b39b353aa645ddab6a28b206da5c5dfe9f4b74d1e96802b0ac976a19dd6","sha256:a043cab570dff229f603a293a28292910763e78dfb68f611be5e579c6288afbe"],"state_sha256":"f3e4fbc1b1826dc01f767a6838b88fb594a0143fafd96f468352d4fe8e5a77e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pQ/YaazjKxxGnKume8nfrtneQm1SkXGReZk+AzoZpabNkKTct43ercdwFVU7u4fq8fcDreiqew7y5e1i2c8HDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T04:09:43.835979Z","bundle_sha256":"e69f2b5b08c4a9cb4b09b010f0053f4bd68a4634c98fae5e0f68ebc0b640b639"}}