{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7RVMHTBW6TZW5TG3VEG24OJN2U","short_pith_number":"pith:7RVMHTBW","canonical_record":{"source":{"id":"1212.4435","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-12-18T17:28:49Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cf616f5dc5ae2d84798bbfcc40a0a8fa3778a71a4cde8925b3aab1e44d7f04d3","abstract_canon_sha256":"8bba4847253a999f765397d5444d82bb054ede5967218134d46d3c9958af2963"},"schema_version":"1.0"},"canonical_sha256":"fc6ac3cc36f4f36eccdba90dae392dd50994253c9aa698ced10b5aea65543195","source":{"kind":"arxiv","id":"1212.4435","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4435","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4435v2","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4435","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"pith_short_12","alias_value":"7RVMHTBW6TZW","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7RVMHTBW6TZW5TG3","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7RVMHTBW","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7RVMHTBW6TZW5TG3VEG24OJN2U","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4435","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-12-18T17:28:49Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cf616f5dc5ae2d84798bbfcc40a0a8fa3778a71a4cde8925b3aab1e44d7f04d3","abstract_canon_sha256":"8bba4847253a999f765397d5444d82bb054ede5967218134d46d3c9958af2963"},"schema_version":"1.0"},"canonical_sha256":"fc6ac3cc36f4f36eccdba90dae392dd50994253c9aa698ced10b5aea65543195","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:08.007863Z","signature_b64":"80SUlW8rQ7D+emvDAWBCt7lo0gw5Vi4gHascCDd72HVLrU2JiRFiT4clO/IP6pb16HI51BlIUMZGnLpuvk3TCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc6ac3cc36f4f36eccdba90dae392dd50994253c9aa698ced10b5aea65543195","last_reissued_at":"2026-05-18T02:33:08.007470Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:08.007470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4435","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":"2026-05-18T02:33:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HIFCbV7YRDwAJVIT6gOB0naHtFVsT+LL7OMCfjlA9IG5ADelvtaHeM+o8MfKu/XaN8xsXlqEgzMhfmP/8RzRAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:04:31.732397Z"},"content_sha256":"6f6930d23b530734ee743efb69a011a30ba80200b4da26bf5d37efa9666a3789","schema_version":"1.0","event_id":"sha256:6f6930d23b530734ee743efb69a011a30ba80200b4da26bf5d37efa9666a3789"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7RVMHTBW6TZW5TG3VEG24OJN2U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Front progression for the East model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Oriane Blondel","submitted_at":"2012-12-18T17:28:49Z","abstract_excerpt":"The East model is a one-dimensional, non-attractive interacting particle system with Glauber dynamics, in which a flip is prohibited at a site $x$ if the right neighbour $x+1$ is occupied. Starting from a configuration entirely occupied on the left half-line, we prove a law of large numbers for the position of the left-most zero (the front), as well as ergodicity of the process seen from the front. For want of attractiveness, the one-dimensional shape theorem is not derived by the usual coupling arguments, but instead by quantifying the local relaxation to the non-equilibrium invariant measure"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4435","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":""},"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":"2026-05-18T02:33:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1O5pdjNNofRKeH1gGoVitnpa/kYVj5h4yNw25I1gPjkX12zfU87UDVOPHJMveMEj+1JDlgA3eaR4pupGEy16DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:04:31.733051Z"},"content_sha256":"9e161e114b5f9423ee23f42f715ef3953d9641d3c0cfed7dcd44f863a8ae2623","schema_version":"1.0","event_id":"sha256:9e161e114b5f9423ee23f42f715ef3953d9641d3c0cfed7dcd44f863a8ae2623"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7RVMHTBW6TZW5TG3VEG24OJN2U/bundle.json","state_url":"https://pith.science/pith/7RVMHTBW6TZW5TG3VEG24OJN2U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7RVMHTBW6TZW5TG3VEG24OJN2U/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":"2026-06-06T19:04:31Z","links":{"resolver":"https://pith.science/pith/7RVMHTBW6TZW5TG3VEG24OJN2U","bundle":"https://pith.science/pith/7RVMHTBW6TZW5TG3VEG24OJN2U/bundle.json","state":"https://pith.science/pith/7RVMHTBW6TZW5TG3VEG24OJN2U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7RVMHTBW6TZW5TG3VEG24OJN2U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7RVMHTBW6TZW5TG3VEG24OJN2U","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":"8bba4847253a999f765397d5444d82bb054ede5967218134d46d3c9958af2963","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-12-18T17:28:49Z","title_canon_sha256":"cf616f5dc5ae2d84798bbfcc40a0a8fa3778a71a4cde8925b3aab1e44d7f04d3"},"schema_version":"1.0","source":{"id":"1212.4435","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4435","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4435v2","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4435","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"pith_short_12","alias_value":"7RVMHTBW6TZW","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7RVMHTBW6TZW5TG3","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7RVMHTBW","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:9e161e114b5f9423ee23f42f715ef3953d9641d3c0cfed7dcd44f863a8ae2623","target":"graph","created_at":"2026-05-18T02:33:08Z","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":"The East model is a one-dimensional, non-attractive interacting particle system with Glauber dynamics, in which a flip is prohibited at a site $x$ if the right neighbour $x+1$ is occupied. Starting from a configuration entirely occupied on the left half-line, we prove a law of large numbers for the position of the left-most zero (the front), as well as ergodicity of the process seen from the front. For want of attractiveness, the one-dimensional shape theorem is not derived by the usual coupling arguments, but instead by quantifying the local relaxation to the non-equilibrium invariant measure","authors_text":"Oriane Blondel","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-12-18T17:28:49Z","title":"Front progression for the East model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4435","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":"sha256:6f6930d23b530734ee743efb69a011a30ba80200b4da26bf5d37efa9666a3789","target":"record","created_at":"2026-05-18T02:33:08Z","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":"8bba4847253a999f765397d5444d82bb054ede5967218134d46d3c9958af2963","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-12-18T17:28:49Z","title_canon_sha256":"cf616f5dc5ae2d84798bbfcc40a0a8fa3778a71a4cde8925b3aab1e44d7f04d3"},"schema_version":"1.0","source":{"id":"1212.4435","kind":"arxiv","version":2}},"canonical_sha256":"fc6ac3cc36f4f36eccdba90dae392dd50994253c9aa698ced10b5aea65543195","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc6ac3cc36f4f36eccdba90dae392dd50994253c9aa698ced10b5aea65543195","first_computed_at":"2026-05-18T02:33:08.007470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:08.007470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"80SUlW8rQ7D+emvDAWBCt7lo0gw5Vi4gHascCDd72HVLrU2JiRFiT4clO/IP6pb16HI51BlIUMZGnLpuvk3TCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:08.007863Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4435","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f6930d23b530734ee743efb69a011a30ba80200b4da26bf5d37efa9666a3789","sha256:9e161e114b5f9423ee23f42f715ef3953d9641d3c0cfed7dcd44f863a8ae2623"],"state_sha256":"4e02cc4a7d57cfaabe57e8565403fbbec091fffc53a5d8d7d65f432d5ff761ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dm/hnj0ty2PTNS53oERWF1bLWUDOH5Pm8lNX3bDqcVaYs+vlljuOrjTNUfWGSTpgzod0p6AgF/sJOzKf3HB4CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:04:31.736542Z","bundle_sha256":"0bae8d26974115341995ee4311074319efe2fd40267d5161860e3483f91a3524"}}