{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:IGZ46GCOOGE3V6TCOKVPBUIF5C","short_pith_number":"pith:IGZ46GCO","canonical_record":{"source":{"id":"cond-mat/0509401","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-09-15T09:36:29Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"8a9400b77aeafb0c8fd721e6a08909db7781840e244efaa5f85542f0539e5d01","abstract_canon_sha256":"d70040a78b86ef86ff2d576447e627d74c1dccaa9503701645f88f760b50def4"},"schema_version":"1.0"},"canonical_sha256":"41b3cf184e7189bafa6272aaf0d105e89bb21682946d1c336c2594c29516b5de","source":{"kind":"arxiv","id":"cond-mat/0509401","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0509401","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0509401v1","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0509401","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"pith_short_12","alias_value":"IGZ46GCOOGE3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"IGZ46GCOOGE3V6TC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"IGZ46GCO","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:IGZ46GCOOGE3V6TCOKVPBUIF5C","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0509401","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-09-15T09:36:29Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"8a9400b77aeafb0c8fd721e6a08909db7781840e244efaa5f85542f0539e5d01","abstract_canon_sha256":"d70040a78b86ef86ff2d576447e627d74c1dccaa9503701645f88f760b50def4"},"schema_version":"1.0"},"canonical_sha256":"41b3cf184e7189bafa6272aaf0d105e89bb21682946d1c336c2594c29516b5de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:38.118004Z","signature_b64":"R/fWqjFVOTZ8aDev5ijoOtW7uvJu8YYLjZYpv98nkeApDblesYRWEliue2jGDrzin3mYz8yDPBVoyztGk/2rDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41b3cf184e7189bafa6272aaf0d105e89bb21682946d1c336c2594c29516b5de","last_reissued_at":"2026-05-18T04:28:38.117521Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:38.117521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0509401","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":"2026-05-18T04:28:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cqXUmAA+v237GtkbVnKnCF4Fuaattz00irQT+o9bbfrct4qfsSPvzcX7rNukTNhJYxr2Okva4czfDwdfD7+uCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:07:33.805358Z"},"content_sha256":"d06f5c23397dee0fbfd23827f26299c06ab88a835f42e16bcbce7fddb020e8a8","schema_version":"1.0","event_id":"sha256:d06f5c23397dee0fbfd23827f26299c06ab88a835f42e16bcbce7fddb020e8a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:IGZ46GCOOGE3V6TCOKVPBUIF5C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Power spectra of self-organized critical sandpiles","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Lasse Laurson, Mikko J. Alava, Stefano Zapperi","submitted_at":"2005-09-15T09:36:29Z","abstract_excerpt":"We analyze the power spectra of avalanches in two classes of self-organized critical sandpile models, the Bak-Tang-Wiesenfeld model and the Manna model. We show that these decay with a $1/f^\\alpha$ power law, where the exponent value $\\alpha$ is significantly smaller than 2 and equals the scaling exponent relating the avalanche size to its duration. We discuss the basic ingredients behind this result, such as the scaling of the average avalanche shape."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0509401","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":"2026-05-18T04:28:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zgbr/DYe4lIAr7KtdlXvuwKk1h1v8hd2ACz0V2fu1zT6EZCQ/5kyh1W7c9NQF2T+pHBP06fQdzruFhlAOA9+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:07:33.806104Z"},"content_sha256":"cdac2b4552d968b69f95d7e4055b71f8edd140fa1fc704b9506d3d161a57009b","schema_version":"1.0","event_id":"sha256:cdac2b4552d968b69f95d7e4055b71f8edd140fa1fc704b9506d3d161a57009b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IGZ46GCOOGE3V6TCOKVPBUIF5C/bundle.json","state_url":"https://pith.science/pith/IGZ46GCOOGE3V6TCOKVPBUIF5C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IGZ46GCOOGE3V6TCOKVPBUIF5C/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":"2026-05-31T20:07:33Z","links":{"resolver":"https://pith.science/pith/IGZ46GCOOGE3V6TCOKVPBUIF5C","bundle":"https://pith.science/pith/IGZ46GCOOGE3V6TCOKVPBUIF5C/bundle.json","state":"https://pith.science/pith/IGZ46GCOOGE3V6TCOKVPBUIF5C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IGZ46GCOOGE3V6TCOKVPBUIF5C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:IGZ46GCOOGE3V6TCOKVPBUIF5C","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":"d70040a78b86ef86ff2d576447e627d74c1dccaa9503701645f88f760b50def4","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-09-15T09:36:29Z","title_canon_sha256":"8a9400b77aeafb0c8fd721e6a08909db7781840e244efaa5f85542f0539e5d01"},"schema_version":"1.0","source":{"id":"cond-mat/0509401","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0509401","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0509401v1","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0509401","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"pith_short_12","alias_value":"IGZ46GCOOGE3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"IGZ46GCOOGE3V6TC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"IGZ46GCO","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:cdac2b4552d968b69f95d7e4055b71f8edd140fa1fc704b9506d3d161a57009b","target":"graph","created_at":"2026-05-18T04:28:38Z","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 analyze the power spectra of avalanches in two classes of self-organized critical sandpile models, the Bak-Tang-Wiesenfeld model and the Manna model. We show that these decay with a $1/f^\\alpha$ power law, where the exponent value $\\alpha$ is significantly smaller than 2 and equals the scaling exponent relating the avalanche size to its duration. We discuss the basic ingredients behind this result, such as the scaling of the average avalanche shape.","authors_text":"Lasse Laurson, Mikko J. Alava, Stefano Zapperi","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-09-15T09:36:29Z","title":"Power spectra of self-organized critical sandpiles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0509401","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:d06f5c23397dee0fbfd23827f26299c06ab88a835f42e16bcbce7fddb020e8a8","target":"record","created_at":"2026-05-18T04:28:38Z","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":"d70040a78b86ef86ff2d576447e627d74c1dccaa9503701645f88f760b50def4","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-09-15T09:36:29Z","title_canon_sha256":"8a9400b77aeafb0c8fd721e6a08909db7781840e244efaa5f85542f0539e5d01"},"schema_version":"1.0","source":{"id":"cond-mat/0509401","kind":"arxiv","version":1}},"canonical_sha256":"41b3cf184e7189bafa6272aaf0d105e89bb21682946d1c336c2594c29516b5de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41b3cf184e7189bafa6272aaf0d105e89bb21682946d1c336c2594c29516b5de","first_computed_at":"2026-05-18T04:28:38.117521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:38.117521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R/fWqjFVOTZ8aDev5ijoOtW7uvJu8YYLjZYpv98nkeApDblesYRWEliue2jGDrzin3mYz8yDPBVoyztGk/2rDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:38.118004Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0509401","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d06f5c23397dee0fbfd23827f26299c06ab88a835f42e16bcbce7fddb020e8a8","sha256:cdac2b4552d968b69f95d7e4055b71f8edd140fa1fc704b9506d3d161a57009b"],"state_sha256":"638d05341146404cb7bceca88aa800dd21b19e96a1dc415442ec0c126c8ed186"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EHC5LtVYUlJUGTzJi7TagwUAmmv8lM4t4udtHCcFX8LFLnAn1nXp8bxP8LDk9X89Vyh6udEoyQ6SPhCAlT68Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:07:33.809562Z","bundle_sha256":"f9a1e506ed911fb4ef0f838f3a93aff5e63eaaa3db3f6b992c13adfdfd4d16ae"}}