{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2UMSLXIJSNXGG6XCFRBUJEM7U2","short_pith_number":"pith:2UMSLXIJ","canonical_record":{"source":{"id":"1012.2339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-10T18:45:07Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"0f61f4e62dde545f8324ae1359ab22440c84828bd7135c1458090ce28d7518c0","abstract_canon_sha256":"4efaca84a0e14a7e8f0308b4ac3389209c70966f1635940e1c2ef5252b35c7d3"},"schema_version":"1.0"},"canonical_sha256":"d51925dd09936e637ae22c4344919fa6909c89e6b0f0ef142a5566422d9c1920","source":{"kind":"arxiv","id":"1012.2339","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2339","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2339v2","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2339","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"pith_short_12","alias_value":"2UMSLXIJSNXG","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2UMSLXIJSNXGG6XC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2UMSLXIJ","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2UMSLXIJSNXGG6XCFRBUJEM7U2","target":"record","payload":{"canonical_record":{"source":{"id":"1012.2339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-10T18:45:07Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"0f61f4e62dde545f8324ae1359ab22440c84828bd7135c1458090ce28d7518c0","abstract_canon_sha256":"4efaca84a0e14a7e8f0308b4ac3389209c70966f1635940e1c2ef5252b35c7d3"},"schema_version":"1.0"},"canonical_sha256":"d51925dd09936e637ae22c4344919fa6909c89e6b0f0ef142a5566422d9c1920","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:26.457636Z","signature_b64":"YKtzch5XVbpz1Y0tGY/m25M1rIU/DtfWiuZmJY4wFLGGxyzI+UZvxNcLhLjJ0CXjEqbZPuw9wyGlAHv7+eXCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d51925dd09936e637ae22c4344919fa6909c89e6b0f0ef142a5566422d9c1920","last_reissued_at":"2026-05-18T04:27:26.457191Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:26.457191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.2339","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":"2026-05-18T04:27:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3OYtXYDqrPCRlqCnFvptkeDdw6zZxXAPVEMn5JvLfb+jeypzPjTHC/3f8oDXZ7OUd1zKzV8K8J4LdRTU9uXVBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:49:44.597611Z"},"content_sha256":"c9526c83c0060c7497313c28ef1739be5995d811c753e77580ead3e10fdd238d","schema_version":"1.0","event_id":"sha256:c9526c83c0060c7497313c28ef1739be5995d811c753e77580ead3e10fdd238d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2UMSLXIJSNXGG6XCFRBUJEM7U2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tricritical point in explosive percolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hans J. Herrmann, Jose S. Andrade Jr, Nuno A. M. Araujo, Robert M. Ziff","submitted_at":"2010-12-10T18:45:07Z","abstract_excerpt":"The suitable interpolation between classical percolation and a special variant of explosive percolation enables the explicit realization of a tricritical percolation point. With high-precision simulations of the order parameter and the second moment of the cluster size distribution a fully consistent tricritical scaling scenario emerges yielding the tricritical crossover exponent $1/\\phi_t=1.8\\pm0.1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2339","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":"2026-05-18T04:27:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g09zDRyoA+Mea9ZLR5tOCNe8VtDMcKKkn7/GF8/cgKqbjQHETMAKhAqQckkyBuj6+SVeuTyY4FIbkHDIEIXzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:49:44.598306Z"},"content_sha256":"2fcfc463c444b4e039e7dadad3cdfb50b3361881dd82f340c1cd02afb07bc82b","schema_version":"1.0","event_id":"sha256:2fcfc463c444b4e039e7dadad3cdfb50b3361881dd82f340c1cd02afb07bc82b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2UMSLXIJSNXGG6XCFRBUJEM7U2/bundle.json","state_url":"https://pith.science/pith/2UMSLXIJSNXGG6XCFRBUJEM7U2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2UMSLXIJSNXGG6XCFRBUJEM7U2/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":"2026-05-27T20:49:44Z","links":{"resolver":"https://pith.science/pith/2UMSLXIJSNXGG6XCFRBUJEM7U2","bundle":"https://pith.science/pith/2UMSLXIJSNXGG6XCFRBUJEM7U2/bundle.json","state":"https://pith.science/pith/2UMSLXIJSNXGG6XCFRBUJEM7U2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2UMSLXIJSNXGG6XCFRBUJEM7U2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2UMSLXIJSNXGG6XCFRBUJEM7U2","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":"4efaca84a0e14a7e8f0308b4ac3389209c70966f1635940e1c2ef5252b35c7d3","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-10T18:45:07Z","title_canon_sha256":"0f61f4e62dde545f8324ae1359ab22440c84828bd7135c1458090ce28d7518c0"},"schema_version":"1.0","source":{"id":"1012.2339","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2339","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2339v2","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2339","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"pith_short_12","alias_value":"2UMSLXIJSNXG","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2UMSLXIJSNXGG6XC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2UMSLXIJ","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:2fcfc463c444b4e039e7dadad3cdfb50b3361881dd82f340c1cd02afb07bc82b","target":"graph","created_at":"2026-05-18T04:27:26Z","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 suitable interpolation between classical percolation and a special variant of explosive percolation enables the explicit realization of a tricritical percolation point. With high-precision simulations of the order parameter and the second moment of the cluster size distribution a fully consistent tricritical scaling scenario emerges yielding the tricritical crossover exponent $1/\\phi_t=1.8\\pm0.1$.","authors_text":"Hans J. Herrmann, Jose S. Andrade Jr, Nuno A. M. Araujo, Robert M. Ziff","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-10T18:45:07Z","title":"Tricritical point in explosive percolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2339","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:c9526c83c0060c7497313c28ef1739be5995d811c753e77580ead3e10fdd238d","target":"record","created_at":"2026-05-18T04:27:26Z","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":"4efaca84a0e14a7e8f0308b4ac3389209c70966f1635940e1c2ef5252b35c7d3","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-10T18:45:07Z","title_canon_sha256":"0f61f4e62dde545f8324ae1359ab22440c84828bd7135c1458090ce28d7518c0"},"schema_version":"1.0","source":{"id":"1012.2339","kind":"arxiv","version":2}},"canonical_sha256":"d51925dd09936e637ae22c4344919fa6909c89e6b0f0ef142a5566422d9c1920","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d51925dd09936e637ae22c4344919fa6909c89e6b0f0ef142a5566422d9c1920","first_computed_at":"2026-05-18T04:27:26.457191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:26.457191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YKtzch5XVbpz1Y0tGY/m25M1rIU/DtfWiuZmJY4wFLGGxyzI+UZvxNcLhLjJ0CXjEqbZPuw9wyGlAHv7+eXCDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:26.457636Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2339","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9526c83c0060c7497313c28ef1739be5995d811c753e77580ead3e10fdd238d","sha256:2fcfc463c444b4e039e7dadad3cdfb50b3361881dd82f340c1cd02afb07bc82b"],"state_sha256":"c9139f86101daaf410695df9c8f6776353f258495edc333349f79b259cf094ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4B1KECTrGFKcMkT/vdjXqfeep4lRIS51AlBTfZGyK1f5MBf+G7FKTKblCtjIL2fJdotNvC+uCBcZeV/9quy+Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T20:49:44.601753Z","bundle_sha256":"be76ccf55c9564913d8fcf58f447eb04b19477510c2d9949e54da7cfdc813fb4"}}