{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BJU6GN55RQ3BDO42HYHLW3KBI7","short_pith_number":"pith:BJU6GN55","canonical_record":{"source":{"id":"1609.09107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-28T20:42:23Z","cross_cats_sorted":["cs.MA","physics.soc-ph"],"title_canon_sha256":"8ae94ed103080f1ca7af09f9bbde12e3a0928be3ca1b80bd73cf6a16fae6c4d1","abstract_canon_sha256":"a98a173e6c0158a0296cde881950effb68efc18eceb1bd21ecb71d4330384e6f"},"schema_version":"1.0"},"canonical_sha256":"0a69e337bd8c3611bb9a3e0ebb6d4147cd8e9a49e280b8107b6388101d083dc9","source":{"kind":"arxiv","id":"1609.09107","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09107","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09107v2","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09107","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"BJU6GN55RQ3B","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BJU6GN55RQ3BDO42","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BJU6GN55","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BJU6GN55RQ3BDO42HYHLW3KBI7","target":"record","payload":{"canonical_record":{"source":{"id":"1609.09107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-28T20:42:23Z","cross_cats_sorted":["cs.MA","physics.soc-ph"],"title_canon_sha256":"8ae94ed103080f1ca7af09f9bbde12e3a0928be3ca1b80bd73cf6a16fae6c4d1","abstract_canon_sha256":"a98a173e6c0158a0296cde881950effb68efc18eceb1bd21ecb71d4330384e6f"},"schema_version":"1.0"},"canonical_sha256":"0a69e337bd8c3611bb9a3e0ebb6d4147cd8e9a49e280b8107b6388101d083dc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:11.886877Z","signature_b64":"s0pSFweSCHJStYXStZ9syqkV9ff57EBwAZU3LLLO0K4IvjrBGoN3SIMapUxZRwfsPn3SLQqg8i/ZUhh8o0v+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a69e337bd8c3611bb9a3e0ebb6d4147cd8e9a49e280b8107b6388101d083dc9","last_reissued_at":"2026-05-18T00:56:11.886481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:11.886481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.09107","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":"2026-05-18T00:56:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"631dSOp7Vx/C2eRCk48ycqxCfehzrh8RpvM2/ILHoH0uWpBt9RmdbRCvBO04TB271RaqEqFT5qEWFuQrlJBsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T05:04:50.213261Z"},"content_sha256":"0de57541cbdbbe77f8c2f334341b1b7875d8b89a58f64f909ea703613ef20a6d","schema_version":"1.0","event_id":"sha256:0de57541cbdbbe77f8c2f334341b1b7875d8b89a58f64f909ea703613ef20a6d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BJU6GN55RQ3BDO42HYHLW3KBI7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effect of long-range interactions on the phase transition of Axelrod's model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MA","physics.soc-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jos\\'e F. Fontanari, Sandro M. Reia","submitted_at":"2016-09-28T20:42:23Z","abstract_excerpt":"Axelrod's model with $F=2$ cultural features, where each feature can assume $k$ states drawn from a Poisson distribution of parameter $q$, exhibits a continuous nonequilibrium phase transition in the square lattice. Here we use extensive Monte Carlo simulations and finite size scaling to study the critical behavior of the order parameter $\\rho$, which is the fraction of sites that belong to the largest domain of an absorbing configuration averaged over many runs. We find that it vanishes as $\\rho \\sim \\left (q_c^0 - q \\right)^\\beta$ with $\\beta \\approx 0.25$ at the critical point $q_c^0 \\appro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09107","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":"2026-05-18T00:56:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pCN5xPpaQFscLdVXj3wItJAmBCmpBwMWbDDMOMp/jEh6NlqMmmvyZHSuZqT+D09kPA9pgW/4q0gWFFnJ+DThAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T05:04:50.213625Z"},"content_sha256":"519edfb7925646e46318a287bdfa742cdde544f88640254a33493322930c463b","schema_version":"1.0","event_id":"sha256:519edfb7925646e46318a287bdfa742cdde544f88640254a33493322930c463b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/bundle.json","state_url":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/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":"2026-06-21T05:04:50Z","links":{"resolver":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7","bundle":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/bundle.json","state":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BJU6GN55RQ3BDO42HYHLW3KBI7","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":"a98a173e6c0158a0296cde881950effb68efc18eceb1bd21ecb71d4330384e6f","cross_cats_sorted":["cs.MA","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-28T20:42:23Z","title_canon_sha256":"8ae94ed103080f1ca7af09f9bbde12e3a0928be3ca1b80bd73cf6a16fae6c4d1"},"schema_version":"1.0","source":{"id":"1609.09107","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09107","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09107v2","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09107","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"BJU6GN55RQ3B","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BJU6GN55RQ3BDO42","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BJU6GN55","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:519edfb7925646e46318a287bdfa742cdde544f88640254a33493322930c463b","target":"graph","created_at":"2026-05-18T00:56:11Z","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":"Axelrod's model with $F=2$ cultural features, where each feature can assume $k$ states drawn from a Poisson distribution of parameter $q$, exhibits a continuous nonequilibrium phase transition in the square lattice. Here we use extensive Monte Carlo simulations and finite size scaling to study the critical behavior of the order parameter $\\rho$, which is the fraction of sites that belong to the largest domain of an absorbing configuration averaged over many runs. We find that it vanishes as $\\rho \\sim \\left (q_c^0 - q \\right)^\\beta$ with $\\beta \\approx 0.25$ at the critical point $q_c^0 \\appro","authors_text":"Jos\\'e F. Fontanari, Sandro M. Reia","cross_cats":["cs.MA","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-28T20:42:23Z","title":"Effect of long-range interactions on the phase transition of Axelrod's model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09107","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":"sha256:0de57541cbdbbe77f8c2f334341b1b7875d8b89a58f64f909ea703613ef20a6d","target":"record","created_at":"2026-05-18T00:56:11Z","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":"a98a173e6c0158a0296cde881950effb68efc18eceb1bd21ecb71d4330384e6f","cross_cats_sorted":["cs.MA","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-28T20:42:23Z","title_canon_sha256":"8ae94ed103080f1ca7af09f9bbde12e3a0928be3ca1b80bd73cf6a16fae6c4d1"},"schema_version":"1.0","source":{"id":"1609.09107","kind":"arxiv","version":2}},"canonical_sha256":"0a69e337bd8c3611bb9a3e0ebb6d4147cd8e9a49e280b8107b6388101d083dc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a69e337bd8c3611bb9a3e0ebb6d4147cd8e9a49e280b8107b6388101d083dc9","first_computed_at":"2026-05-18T00:56:11.886481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:11.886481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s0pSFweSCHJStYXStZ9syqkV9ff57EBwAZU3LLLO0K4IvjrBGoN3SIMapUxZRwfsPn3SLQqg8i/ZUhh8o0v+Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:11.886877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.09107","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0de57541cbdbbe77f8c2f334341b1b7875d8b89a58f64f909ea703613ef20a6d","sha256:519edfb7925646e46318a287bdfa742cdde544f88640254a33493322930c463b"],"state_sha256":"f90729790f5449a4e11412d49888c996a95c644d6895d7ac988e5451121ac4dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B196yL+Pzpsqqj6hcjzCJFe0NXblaf6eXKLIPaRElPI/W7snbsg4CDGI1Zubmyv3C19qqXDTe6buj8Bc0qBzCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T05:04:50.215518Z","bundle_sha256":"87d9ee96fa86e378946e53fb60144cfe7f84c4a28d53211bd4d57afc3cb977cd"}}