{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:NLXGCIOQNTUGPRMELHCCHLKUOL","short_pith_number":"pith:NLXGCIOQ","canonical_record":{"source":{"id":"0807.1807","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-07-11T09:43:39Z","cross_cats_sorted":[],"title_canon_sha256":"523071f97891c2550b953b86c10d84e9c8d09e16757d1aef1a9dca27e4befb46","abstract_canon_sha256":"82ef776e97004ee258647881d93920c90761d092f846911ecaf9c07eb29d3f12"},"schema_version":"1.0"},"canonical_sha256":"6aee6121d06ce867c58459c423ad5472ef5c758ac57afaa7d04fef00f9e3f9c0","source":{"kind":"arxiv","id":"0807.1807","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.1807","created_at":"2026-07-04T15:16:07Z"},{"alias_kind":"arxiv_version","alias_value":"0807.1807v3","created_at":"2026-07-04T15:16:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1807","created_at":"2026-07-04T15:16:07Z"},{"alias_kind":"pith_short_12","alias_value":"NLXGCIOQNTUG","created_at":"2026-07-04T15:16:07Z"},{"alias_kind":"pith_short_16","alias_value":"NLXGCIOQNTUGPRME","created_at":"2026-07-04T15:16:07Z"},{"alias_kind":"pith_short_8","alias_value":"NLXGCIOQ","created_at":"2026-07-04T15:16:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:NLXGCIOQNTUGPRMELHCCHLKUOL","target":"record","payload":{"canonical_record":{"source":{"id":"0807.1807","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-07-11T09:43:39Z","cross_cats_sorted":[],"title_canon_sha256":"523071f97891c2550b953b86c10d84e9c8d09e16757d1aef1a9dca27e4befb46","abstract_canon_sha256":"82ef776e97004ee258647881d93920c90761d092f846911ecaf9c07eb29d3f12"},"schema_version":"1.0"},"canonical_sha256":"6aee6121d06ce867c58459c423ad5472ef5c758ac57afaa7d04fef00f9e3f9c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:16:07.012420Z","signature_b64":"+3DF5lv1v0h9lrP/5/cUOX32qpQnLEt3TiGMoGWmE97HZsXJZ+FNFAX6v5ZLY7xSZQgHLWuI/T79pQmv76UuAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6aee6121d06ce867c58459c423ad5472ef5c758ac57afaa7d04fef00f9e3f9c0","last_reissued_at":"2026-07-04T15:16:07.011933Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:16:07.011933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0807.1807","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:16:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K37PdPXmbgNGfGCeLH9nKuXzm4IZWLMrWq/LVp5ztLk2hxAix6wnTwYGnUsX37TdSJMT5KObJP4U1EkkiUFWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T21:33:49.333775Z"},"content_sha256":"1109c291f118b6b4e001bcc0755a893a9a2e4e11a6e900e0766b8936f8376f21","schema_version":"1.0","event_id":"sha256:1109c291f118b6b4e001bcc0755a893a9a2e4e11a6e900e0766b8936f8376f21"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:NLXGCIOQNTUGPRMELHCCHLKUOL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relevance of Abelian Symmetry and Stochasticity in Directed Sandpiles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Hang-Hyun Jo, Meesoon Ha","submitted_at":"2008-07-11T09:43:39Z","abstract_excerpt":"We provide a comprehensive view on the role of Abelian symmetry and stochasticity in the universality class of directed sandpile models, in context of the underlying spatial correlations of metastable patterns and scars. It is argued that the relevance of Abelian symmetry may depend on whether the dynamic rule is stochastic or deterministic, by means of the interaction of metastable patterns and avalanche flow. Based on the new scaling relations, we conjecture critical exponents for avalanche, which is confirmed reasonably well in large-scale numerical simulations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1807","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0807.1807/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:16:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LB4SGuVQtO8m5UNOs1dJq/rjA4SppDu/EWhxzUogLbvnA/cMAn6qeKedBaPrdCReLVyJWxnYNuoNEtG8uu6gCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T21:33:49.334270Z"},"content_sha256":"5549ab1f771d333f161cbf1c81b1d2c5805333edd8bcd4a2da137f74a1e73fb4","schema_version":"1.0","event_id":"sha256:5549ab1f771d333f161cbf1c81b1d2c5805333edd8bcd4a2da137f74a1e73fb4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NLXGCIOQNTUGPRMELHCCHLKUOL/bundle.json","state_url":"https://pith.science/pith/NLXGCIOQNTUGPRMELHCCHLKUOL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NLXGCIOQNTUGPRMELHCCHLKUOL/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":"2026-08-05T21:33:49Z","links":{"resolver":"https://pith.science/pith/NLXGCIOQNTUGPRMELHCCHLKUOL","bundle":"https://pith.science/pith/NLXGCIOQNTUGPRMELHCCHLKUOL/bundle.json","state":"https://pith.science/pith/NLXGCIOQNTUGPRMELHCCHLKUOL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NLXGCIOQNTUGPRMELHCCHLKUOL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:NLXGCIOQNTUGPRMELHCCHLKUOL","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":"82ef776e97004ee258647881d93920c90761d092f846911ecaf9c07eb29d3f12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-07-11T09:43:39Z","title_canon_sha256":"523071f97891c2550b953b86c10d84e9c8d09e16757d1aef1a9dca27e4befb46"},"schema_version":"1.0","source":{"id":"0807.1807","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.1807","created_at":"2026-07-04T15:16:07Z"},{"alias_kind":"arxiv_version","alias_value":"0807.1807v3","created_at":"2026-07-04T15:16:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1807","created_at":"2026-07-04T15:16:07Z"},{"alias_kind":"pith_short_12","alias_value":"NLXGCIOQNTUG","created_at":"2026-07-04T15:16:07Z"},{"alias_kind":"pith_short_16","alias_value":"NLXGCIOQNTUGPRME","created_at":"2026-07-04T15:16:07Z"},{"alias_kind":"pith_short_8","alias_value":"NLXGCIOQ","created_at":"2026-07-04T15:16:07Z"}],"graph_snapshots":[{"event_id":"sha256:5549ab1f771d333f161cbf1c81b1d2c5805333edd8bcd4a2da137f74a1e73fb4","target":"graph","created_at":"2026-07-04T15:16:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0807.1807/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a comprehensive view on the role of Abelian symmetry and stochasticity in the universality class of directed sandpile models, in context of the underlying spatial correlations of metastable patterns and scars. It is argued that the relevance of Abelian symmetry may depend on whether the dynamic rule is stochastic or deterministic, by means of the interaction of metastable patterns and avalanche flow. Based on the new scaling relations, we conjecture critical exponents for avalanche, which is confirmed reasonably well in large-scale numerical simulations.","authors_text":"Hang-Hyun Jo, Meesoon Ha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-07-11T09:43:39Z","title":"Relevance of Abelian Symmetry and Stochasticity in Directed Sandpiles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1807","kind":"arxiv","version":3},"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":"sha256:1109c291f118b6b4e001bcc0755a893a9a2e4e11a6e900e0766b8936f8376f21","target":"record","created_at":"2026-07-04T15:16:07Z","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":"82ef776e97004ee258647881d93920c90761d092f846911ecaf9c07eb29d3f12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-07-11T09:43:39Z","title_canon_sha256":"523071f97891c2550b953b86c10d84e9c8d09e16757d1aef1a9dca27e4befb46"},"schema_version":"1.0","source":{"id":"0807.1807","kind":"arxiv","version":3}},"canonical_sha256":"6aee6121d06ce867c58459c423ad5472ef5c758ac57afaa7d04fef00f9e3f9c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6aee6121d06ce867c58459c423ad5472ef5c758ac57afaa7d04fef00f9e3f9c0","first_computed_at":"2026-07-04T15:16:07.011933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:16:07.011933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+3DF5lv1v0h9lrP/5/cUOX32qpQnLEt3TiGMoGWmE97HZsXJZ+FNFAX6v5ZLY7xSZQgHLWuI/T79pQmv76UuAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:16:07.012420Z","signed_message":"canonical_sha256_bytes"},"source_id":"0807.1807","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1109c291f118b6b4e001bcc0755a893a9a2e4e11a6e900e0766b8936f8376f21","sha256:5549ab1f771d333f161cbf1c81b1d2c5805333edd8bcd4a2da137f74a1e73fb4"],"state_sha256":"5dc4b104a2edba09e3b1bf92656e06648777a44c068e03c682122441c8592927"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8533UyDcTMtcihLi7YNcHdWhasUz8bA1sYoc3NWFvrn0YVB279tbqXaCqEUIGHT/EKHhuvOtQh+YS8eDek8vCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T21:33:49.337977Z","bundle_sha256":"8f128f9221740341ba5b2f034a49b4896a7a56b42d9efcdfd83f913e4766b928"}}