{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:E3IMASTHTUQ2CTGTWOWN6NJQU4","short_pith_number":"pith:E3IMASTH","canonical_record":{"source":{"id":"1708.05806","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-19T05:13:35Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"01925733f733eab246441f54ff8f944dac038c9fcc3cb3a55c3a5ef3cd7afe95","abstract_canon_sha256":"abdb5e6ddef818d62084f3b7501387b507795c59eda8318d5c01993c11957cd6"},"schema_version":"1.0"},"canonical_sha256":"26d0c04a679d21a14cd3b3acdf3530a709f020e9c82e31139ba6a60aad94c232","source":{"kind":"arxiv","id":"1708.05806","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05806","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05806v2","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05806","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"pith_short_12","alias_value":"E3IMASTHTUQ2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"E3IMASTHTUQ2CTGT","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"E3IMASTH","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:E3IMASTHTUQ2CTGTWOWN6NJQU4","target":"record","payload":{"canonical_record":{"source":{"id":"1708.05806","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-19T05:13:35Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"01925733f733eab246441f54ff8f944dac038c9fcc3cb3a55c3a5ef3cd7afe95","abstract_canon_sha256":"abdb5e6ddef818d62084f3b7501387b507795c59eda8318d5c01993c11957cd6"},"schema_version":"1.0"},"canonical_sha256":"26d0c04a679d21a14cd3b3acdf3530a709f020e9c82e31139ba6a60aad94c232","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:20.010976Z","signature_b64":"jjSSWL8KRsdS1ne/K2iNGl3EjKsntrL8GS5K0hqjGJeXG6wrWxqdupEzQpDBCh8xX03kemk6CclYop8LREu1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26d0c04a679d21a14cd3b3acdf3530a709f020e9c82e31139ba6a60aad94c232","last_reissued_at":"2026-05-18T00:09:20.010478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:20.010478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.05806","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":"2026-05-18T00:09:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hs4ciUM1kIjFy/HJrSG6vgvkao0HNrgqwXYthakWd/VjBLLEFydIv7sVbA9pEv5+KVm2r1vr2j8b/MzKvRb0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:21:56.211863Z"},"content_sha256":"2865afeba37b4b0e3f9c6ceca122bad1a1f9e6363a7219a688896b17b2d9929c","schema_version":"1.0","event_id":"sha256:2865afeba37b4b0e3f9c6ceca122bad1a1f9e6363a7219a688896b17b2d9929c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:E3IMASTHTUQ2CTGTWOWN6NJQU4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coarsening model on $\\mathbb{Z}^d$ with biased zero-energy flips and an exponential large deviation bound for ASEP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"David Sivakoff, Leonid Petrov, Michael Damron","submitted_at":"2017-08-19T05:13:35Z","abstract_excerpt":"We study the coarsening model (zero-temperature Ising Glauber dynamics) on $\\mathbb{Z}^d$ (for $d \\geq 2$) with an asymmetric tie-breaking rule. This is a Markov process on the state space $\\{-1,+1\\}^{\\mathbb{Z}^d}$ of \"spin configurations\" in which each vertex updates its spin to agree with a majority of its neighbors at the arrival times of a Poisson process. If a vertex has equally many $+1$ and $-1$ neighbors, then it updates its spin value to $+1$ with probability $q \\in [0,1]$ and to $-1$ with probability $1-q$. The initial state of this Markov chain is distributed according to a product"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05806","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":"2026-05-18T00:09:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IAGj18ZWsxRmPAxBuaTalhkR1JvbKJRF5UarBIdtG4p/oRzz8KRYg4MFvyt/rfGsagIbK7F3xJ+LpszT5ayUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:21:56.212240Z"},"content_sha256":"2bdff5a8d1464ae7d44a989cd79f057d83b2efba753ab27702f58e87bd641fc9","schema_version":"1.0","event_id":"sha256:2bdff5a8d1464ae7d44a989cd79f057d83b2efba753ab27702f58e87bd641fc9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E3IMASTHTUQ2CTGTWOWN6NJQU4/bundle.json","state_url":"https://pith.science/pith/E3IMASTHTUQ2CTGTWOWN6NJQU4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E3IMASTHTUQ2CTGTWOWN6NJQU4/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":"2026-06-02T01:21:56Z","links":{"resolver":"https://pith.science/pith/E3IMASTHTUQ2CTGTWOWN6NJQU4","bundle":"https://pith.science/pith/E3IMASTHTUQ2CTGTWOWN6NJQU4/bundle.json","state":"https://pith.science/pith/E3IMASTHTUQ2CTGTWOWN6NJQU4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E3IMASTHTUQ2CTGTWOWN6NJQU4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:E3IMASTHTUQ2CTGTWOWN6NJQU4","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":"abdb5e6ddef818d62084f3b7501387b507795c59eda8318d5c01993c11957cd6","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-19T05:13:35Z","title_canon_sha256":"01925733f733eab246441f54ff8f944dac038c9fcc3cb3a55c3a5ef3cd7afe95"},"schema_version":"1.0","source":{"id":"1708.05806","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05806","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05806v2","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05806","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"pith_short_12","alias_value":"E3IMASTHTUQ2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"E3IMASTHTUQ2CTGT","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"E3IMASTH","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:2bdff5a8d1464ae7d44a989cd79f057d83b2efba753ab27702f58e87bd641fc9","target":"graph","created_at":"2026-05-18T00:09:20Z","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 coarsening model (zero-temperature Ising Glauber dynamics) on $\\mathbb{Z}^d$ (for $d \\geq 2$) with an asymmetric tie-breaking rule. This is a Markov process on the state space $\\{-1,+1\\}^{\\mathbb{Z}^d}$ of \"spin configurations\" in which each vertex updates its spin to agree with a majority of its neighbors at the arrival times of a Poisson process. If a vertex has equally many $+1$ and $-1$ neighbors, then it updates its spin value to $+1$ with probability $q \\in [0,1]$ and to $-1$ with probability $1-q$. The initial state of this Markov chain is distributed according to a product","authors_text":"David Sivakoff, Leonid Petrov, Michael Damron","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-19T05:13:35Z","title":"Coarsening model on $\\mathbb{Z}^d$ with biased zero-energy flips and an exponential large deviation bound for ASEP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05806","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":"sha256:2865afeba37b4b0e3f9c6ceca122bad1a1f9e6363a7219a688896b17b2d9929c","target":"record","created_at":"2026-05-18T00:09:20Z","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":"abdb5e6ddef818d62084f3b7501387b507795c59eda8318d5c01993c11957cd6","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-19T05:13:35Z","title_canon_sha256":"01925733f733eab246441f54ff8f944dac038c9fcc3cb3a55c3a5ef3cd7afe95"},"schema_version":"1.0","source":{"id":"1708.05806","kind":"arxiv","version":2}},"canonical_sha256":"26d0c04a679d21a14cd3b3acdf3530a709f020e9c82e31139ba6a60aad94c232","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26d0c04a679d21a14cd3b3acdf3530a709f020e9c82e31139ba6a60aad94c232","first_computed_at":"2026-05-18T00:09:20.010478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:20.010478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jjSSWL8KRsdS1ne/K2iNGl3EjKsntrL8GS5K0hqjGJeXG6wrWxqdupEzQpDBCh8xX03kemk6CclYop8LREu1Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:20.010976Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.05806","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2865afeba37b4b0e3f9c6ceca122bad1a1f9e6363a7219a688896b17b2d9929c","sha256:2bdff5a8d1464ae7d44a989cd79f057d83b2efba753ab27702f58e87bd641fc9"],"state_sha256":"a7bfba11d2a2decbe7f4c36d70eee54f8dc88f86f72479684702d4e22a1db161"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UlG6j51EpI/uQg5bnQvyK6Gbr2jZsnIaVMiGaQmGC9yp7SsQrepSCZ83ooxqPELTywekMf1Qvt8uBqB9vYUaCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:21:56.214119Z","bundle_sha256":"9e1b89ef7bd0e54da3acb48d48e16ea4e5f59e5beb3c8190366796ac232a7590"}}