{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:IU4KK6K5IW3FHCRUPFXXHCNKSG","short_pith_number":"pith:IU4KK6K5","canonical_record":{"source":{"id":"1107.0510","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-04T01:25:58Z","cross_cats_sorted":[],"title_canon_sha256":"cd978d6c7269e3cc811665aab15829668c17bc686dc4ce914a2b669f3cd2ce5d","abstract_canon_sha256":"1fe7f86479e8d3f8977e536b739f986f85f37983a7c0ca688c408920276ba565"},"schema_version":"1.0"},"canonical_sha256":"4538a5795d45b6538a34796f7389aa91be76bdc77093e139bf8e3d0013b23ec0","source":{"kind":"arxiv","id":"1107.0510","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0510","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0510v1","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0510","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"pith_short_12","alias_value":"IU4KK6K5IW3F","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IU4KK6K5IW3FHCRU","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IU4KK6K5","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:IU4KK6K5IW3FHCRUPFXXHCNKSG","target":"record","payload":{"canonical_record":{"source":{"id":"1107.0510","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-04T01:25:58Z","cross_cats_sorted":[],"title_canon_sha256":"cd978d6c7269e3cc811665aab15829668c17bc686dc4ce914a2b669f3cd2ce5d","abstract_canon_sha256":"1fe7f86479e8d3f8977e536b739f986f85f37983a7c0ca688c408920276ba565"},"schema_version":"1.0"},"canonical_sha256":"4538a5795d45b6538a34796f7389aa91be76bdc77093e139bf8e3d0013b23ec0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:53.828810Z","signature_b64":"avBNDV2ewZh1XA6zvHv9o7QmQih3w+8+AMIlDb/9W0LCtWlm/4Rwfkfw/RlSMxLZMSr+JdwUYMvNs6KzOjiTDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4538a5795d45b6538a34796f7389aa91be76bdc77093e139bf8e3d0013b23ec0","last_reissued_at":"2026-05-18T04:18:53.828394Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:53.828394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.0510","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":"2026-05-18T04:18:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UdWthj0e3FspheoCqMHaivii9SJiHjTblBZ2oum09DkWHjY0TcOrAv3Ig85VroD/ByRJPSEgoG3FojXLdNceBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:36:33.973880Z"},"content_sha256":"809040c75f923b254a60efb19cd3dfdc6dca76af8914a0bffd3176655dfbb795","schema_version":"1.0","event_id":"sha256:809040c75f923b254a60efb19cd3dfdc6dca76af8914a0bffd3176655dfbb795"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:IU4KK6K5IW3FHCRUPFXXHCNKSG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Contact process with sublattice symmetry breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Marcelo Martins de Oliveira, Ronald Dickman","submitted_at":"2011-07-04T01:25:58Z","abstract_excerpt":"We study a contact process with creation at first- and second-neighbor sites and inhibition at first neighbors, in the form of an annihilation rate that increases with the number of occupied first neighbors. Mean-field theory predicts three phases: inactive (absorbing), active symmetric, and active asymmetric, the latter exhibiting distinct sublattice densities on a bipartite lattice. These phases are separated by continuous transitions; the phase diagram is reentrant. Monte Carlo simulations in two dimensions verify these predictions qualitatively, except for a first-neighbor creation rate of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0510","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":"2026-05-18T04:18:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"72JZQvchyr5njh/TxbatVStp4oqli2ILoDukh+WQrgCL1KNQ7KrMLdIHL6UyBwE74FNPJNwpKbQhqTK01nEhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:36:33.974228Z"},"content_sha256":"aa48e5dbaa998b642a853e1d07bb6aae413a5eed52fc3b1462c3cdb9ee020b26","schema_version":"1.0","event_id":"sha256:aa48e5dbaa998b642a853e1d07bb6aae413a5eed52fc3b1462c3cdb9ee020b26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IU4KK6K5IW3FHCRUPFXXHCNKSG/bundle.json","state_url":"https://pith.science/pith/IU4KK6K5IW3FHCRUPFXXHCNKSG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IU4KK6K5IW3FHCRUPFXXHCNKSG/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":"2026-05-31T07:36:33Z","links":{"resolver":"https://pith.science/pith/IU4KK6K5IW3FHCRUPFXXHCNKSG","bundle":"https://pith.science/pith/IU4KK6K5IW3FHCRUPFXXHCNKSG/bundle.json","state":"https://pith.science/pith/IU4KK6K5IW3FHCRUPFXXHCNKSG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IU4KK6K5IW3FHCRUPFXXHCNKSG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IU4KK6K5IW3FHCRUPFXXHCNKSG","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":"1fe7f86479e8d3f8977e536b739f986f85f37983a7c0ca688c408920276ba565","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-04T01:25:58Z","title_canon_sha256":"cd978d6c7269e3cc811665aab15829668c17bc686dc4ce914a2b669f3cd2ce5d"},"schema_version":"1.0","source":{"id":"1107.0510","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0510","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0510v1","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0510","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"pith_short_12","alias_value":"IU4KK6K5IW3F","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IU4KK6K5IW3FHCRU","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IU4KK6K5","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:aa48e5dbaa998b642a853e1d07bb6aae413a5eed52fc3b1462c3cdb9ee020b26","target":"graph","created_at":"2026-05-18T04:18:53Z","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 a contact process with creation at first- and second-neighbor sites and inhibition at first neighbors, in the form of an annihilation rate that increases with the number of occupied first neighbors. Mean-field theory predicts three phases: inactive (absorbing), active symmetric, and active asymmetric, the latter exhibiting distinct sublattice densities on a bipartite lattice. These phases are separated by continuous transitions; the phase diagram is reentrant. Monte Carlo simulations in two dimensions verify these predictions qualitatively, except for a first-neighbor creation rate of","authors_text":"Marcelo Martins de Oliveira, Ronald Dickman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-04T01:25:58Z","title":"Contact process with sublattice symmetry breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0510","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":"sha256:809040c75f923b254a60efb19cd3dfdc6dca76af8914a0bffd3176655dfbb795","target":"record","created_at":"2026-05-18T04:18:53Z","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":"1fe7f86479e8d3f8977e536b739f986f85f37983a7c0ca688c408920276ba565","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-04T01:25:58Z","title_canon_sha256":"cd978d6c7269e3cc811665aab15829668c17bc686dc4ce914a2b669f3cd2ce5d"},"schema_version":"1.0","source":{"id":"1107.0510","kind":"arxiv","version":1}},"canonical_sha256":"4538a5795d45b6538a34796f7389aa91be76bdc77093e139bf8e3d0013b23ec0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4538a5795d45b6538a34796f7389aa91be76bdc77093e139bf8e3d0013b23ec0","first_computed_at":"2026-05-18T04:18:53.828394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:53.828394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"avBNDV2ewZh1XA6zvHv9o7QmQih3w+8+AMIlDb/9W0LCtWlm/4Rwfkfw/RlSMxLZMSr+JdwUYMvNs6KzOjiTDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:53.828810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.0510","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:809040c75f923b254a60efb19cd3dfdc6dca76af8914a0bffd3176655dfbb795","sha256:aa48e5dbaa998b642a853e1d07bb6aae413a5eed52fc3b1462c3cdb9ee020b26"],"state_sha256":"0534dc37fcffcd774623ecc2f45d97bad5daa2ff2152189a355c3b6bfeffd612"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f3nIxq4RIqU3LfKIUmjWsPejtVrmr9jbAbU03CwXSlMTFfWwAmjZOCElcilp7ZQzdPPPJVuMgeiHHCFdoPMmCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:36:33.976501Z","bundle_sha256":"2c689b4395381d69c0899c743ee4edbf7f19aa213f512fe3af0fdd6015ac6fd8"}}