{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WTJLDFP3HMODTOI7S7DQATG6EM","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":"a60c2a5a6358d76b13619f3948a7aa1c1fc5a14f5c1d56a8cf43d20cb47fdc97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-14T07:36:16Z","title_canon_sha256":"96f611fb2bc1b5b6423d4154092c6d4fadf35d8609de31a14a13f99c4c453334"},"schema_version":"1.0","source":{"id":"1311.3398","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3398","created_at":"2026-05-18T03:01:33Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3398v1","created_at":"2026-05-18T03:01:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3398","created_at":"2026-05-18T03:01:33Z"},{"alias_kind":"pith_short_12","alias_value":"WTJLDFP3HMOD","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WTJLDFP3HMODTOI7","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WTJLDFP3","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:06718b9cd3f205ef0dc9af8b8ae41fcfe49e76634f30895163815d4cdba346cd","target":"graph","created_at":"2026-05-18T03:01:33Z","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":"A dissipative sandpile model (DSM) is constructed and studied on small world networks (SWN). SWNs are generated adding extra links between two arbitrary sites of a two dimensional square lattice with different shortcut densities $\\phi$. Three different regimes are identified as regular lattice (RL) for $\\phi\\lesssim 2^{-12}$, SWN for $2^{-12}<\\phi< 0.1$ and random network (RN) for $\\phi\\ge 0.1$. In the RL regime, the sandpile dynamics is characterized by usual Bak, Tang, Weisenfeld (BTW) type correlated scaling whereas in the RN regime it is characterized by the mean field (MF) scaling. On SWN","authors_text":"Himangsu Bhaumik, S. B. Santra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-14T07:36:16Z","title":"Critical properties of a dissipative sandpile model on small world networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3398","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":"sha256:6cb86c9ddda93cde16ac488cc5a46a376fb3de6a209b57606600b42fddef614d","target":"record","created_at":"2026-05-18T03:01:33Z","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":"a60c2a5a6358d76b13619f3948a7aa1c1fc5a14f5c1d56a8cf43d20cb47fdc97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-14T07:36:16Z","title_canon_sha256":"96f611fb2bc1b5b6423d4154092c6d4fadf35d8609de31a14a13f99c4c453334"},"schema_version":"1.0","source":{"id":"1311.3398","kind":"arxiv","version":1}},"canonical_sha256":"b4d2b195fb3b1c39b91f97c7004cde233197c11a21c728b240a5ac548f425198","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4d2b195fb3b1c39b91f97c7004cde233197c11a21c728b240a5ac548f425198","first_computed_at":"2026-05-18T03:01:33.177166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:33.177166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"omtyNc6xUvstoWGHF/ChdFfEe85+vssTxi61mkZDgYW2FCFy5h+lj9wKmTen4kAREqv6AfKhNwh34p7PQbjhCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:33.177943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3398","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cb86c9ddda93cde16ac488cc5a46a376fb3de6a209b57606600b42fddef614d","sha256:06718b9cd3f205ef0dc9af8b8ae41fcfe49e76634f30895163815d4cdba346cd"],"state_sha256":"6a0dde836aad49f898cccb31a26f2fbf1e4fc59d6e248155ed194fc755795c9b"}