{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:3T6UIZYIZYOPPR45NLNVGLWJ2E","short_pith_number":"pith:3T6UIZYI","canonical_record":{"source":{"id":"0904.2697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-04-17T15:09:54Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2ff20330ffce07f77f1d8dd306d08bb23f99cf575768d8502eddf5b4180dff0c","abstract_canon_sha256":"a93e2c1078c15054bcb73ee8f8fd0b89f1cc43ea60563064fdc897dc53302ab3"},"schema_version":"1.0"},"canonical_sha256":"dcfd446708ce1cf7c79d6adb532ec9d13f79f150591a2d2992803c19151d97c2","source":{"kind":"arxiv","id":"0904.2697","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.2697","created_at":"2026-05-18T02:13:59Z"},{"alias_kind":"arxiv_version","alias_value":"0904.2697v2","created_at":"2026-05-18T02:13:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2697","created_at":"2026-05-18T02:13:59Z"},{"alias_kind":"pith_short_12","alias_value":"3T6UIZYIZYOP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3T6UIZYIZYOPPR45","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3T6UIZYI","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:3T6UIZYIZYOPPR45NLNVGLWJ2E","target":"record","payload":{"canonical_record":{"source":{"id":"0904.2697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-04-17T15:09:54Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2ff20330ffce07f77f1d8dd306d08bb23f99cf575768d8502eddf5b4180dff0c","abstract_canon_sha256":"a93e2c1078c15054bcb73ee8f8fd0b89f1cc43ea60563064fdc897dc53302ab3"},"schema_version":"1.0"},"canonical_sha256":"dcfd446708ce1cf7c79d6adb532ec9d13f79f150591a2d2992803c19151d97c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:59.509742Z","signature_b64":"jQ2+kI/I5pfgqdIKMwGqc/P5XV73aI7FtWhEaZDqC4MqEXdHHrMOD677dIM2glCCJhR4fEN82ZMOVRd36R4gBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcfd446708ce1cf7c79d6adb532ec9d13f79f150591a2d2992803c19151d97c2","last_reissued_at":"2026-05-18T02:13:59.508958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:59.508958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.2697","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":"2026-05-18T02:13:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2dlkftYdgZMxSXH+6jF8LnfqaUqNCCJhAY6PUW5803oJB7bM78mMCUqBDnzC8JIBd29kMatCugGFSYAua6QJAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:36:17.245580Z"},"content_sha256":"5f364a9dbb9a06b496ceaa66169420bfccc05d8c82834351f6231f38f9e9b1e4","schema_version":"1.0","event_id":"sha256:5f364a9dbb9a06b496ceaa66169420bfccc05d8c82834351f6231f38f9e9b1e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:3T6UIZYIZYOPPR45NLNVGLWJ2E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling of spin avalanches in growing networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Joanna Tomkowicz, Krzysztof Kulakowski","submitted_at":"2009-04-17T15:09:54Z","abstract_excerpt":"Growing networks decorated with antiferromagnetically coupled spins are archetypal examples of complex systems due to the frustration and the multivalley character of their energy landscapes. Here we use the damage spreading method (DS) to investigate the cohesion of spin avalanches in the exponential networks and the scale-free networks. On the contrary to the conventional methods, the results obtained from DS suggest that the avalanche spectra are characterized by the same statistics as the degree distribution in their home networks. Further, the obtained mean range $Z$ of an avalanche, i.e."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2697","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":"2026-05-18T02:13:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8M5sP6uqi/cG+KSvuES2k8/NFJAYHmGE98kjHbJ1vDHkYs9e4lrZv5yzjKL0o22qQ0s0wp9jursvkpYhcQiHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:36:17.246278Z"},"content_sha256":"db71c8a9fe9916c4afa978f49d9abe8c6fd015fccf7a817b0406ec864a12aa1d","schema_version":"1.0","event_id":"sha256:db71c8a9fe9916c4afa978f49d9abe8c6fd015fccf7a817b0406ec864a12aa1d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3T6UIZYIZYOPPR45NLNVGLWJ2E/bundle.json","state_url":"https://pith.science/pith/3T6UIZYIZYOPPR45NLNVGLWJ2E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3T6UIZYIZYOPPR45NLNVGLWJ2E/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":"2026-05-27T17:36:17Z","links":{"resolver":"https://pith.science/pith/3T6UIZYIZYOPPR45NLNVGLWJ2E","bundle":"https://pith.science/pith/3T6UIZYIZYOPPR45NLNVGLWJ2E/bundle.json","state":"https://pith.science/pith/3T6UIZYIZYOPPR45NLNVGLWJ2E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3T6UIZYIZYOPPR45NLNVGLWJ2E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:3T6UIZYIZYOPPR45NLNVGLWJ2E","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":"a93e2c1078c15054bcb73ee8f8fd0b89f1cc43ea60563064fdc897dc53302ab3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-04-17T15:09:54Z","title_canon_sha256":"2ff20330ffce07f77f1d8dd306d08bb23f99cf575768d8502eddf5b4180dff0c"},"schema_version":"1.0","source":{"id":"0904.2697","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.2697","created_at":"2026-05-18T02:13:59Z"},{"alias_kind":"arxiv_version","alias_value":"0904.2697v2","created_at":"2026-05-18T02:13:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2697","created_at":"2026-05-18T02:13:59Z"},{"alias_kind":"pith_short_12","alias_value":"3T6UIZYIZYOP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3T6UIZYIZYOPPR45","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3T6UIZYI","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:db71c8a9fe9916c4afa978f49d9abe8c6fd015fccf7a817b0406ec864a12aa1d","target":"graph","created_at":"2026-05-18T02:13:59Z","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":"Growing networks decorated with antiferromagnetically coupled spins are archetypal examples of complex systems due to the frustration and the multivalley character of their energy landscapes. Here we use the damage spreading method (DS) to investigate the cohesion of spin avalanches in the exponential networks and the scale-free networks. On the contrary to the conventional methods, the results obtained from DS suggest that the avalanche spectra are characterized by the same statistics as the degree distribution in their home networks. Further, the obtained mean range $Z$ of an avalanche, i.e.","authors_text":"Joanna Tomkowicz, Krzysztof Kulakowski","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-04-17T15:09:54Z","title":"Scaling of spin avalanches in growing networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2697","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":"sha256:5f364a9dbb9a06b496ceaa66169420bfccc05d8c82834351f6231f38f9e9b1e4","target":"record","created_at":"2026-05-18T02:13:59Z","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":"a93e2c1078c15054bcb73ee8f8fd0b89f1cc43ea60563064fdc897dc53302ab3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-04-17T15:09:54Z","title_canon_sha256":"2ff20330ffce07f77f1d8dd306d08bb23f99cf575768d8502eddf5b4180dff0c"},"schema_version":"1.0","source":{"id":"0904.2697","kind":"arxiv","version":2}},"canonical_sha256":"dcfd446708ce1cf7c79d6adb532ec9d13f79f150591a2d2992803c19151d97c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcfd446708ce1cf7c79d6adb532ec9d13f79f150591a2d2992803c19151d97c2","first_computed_at":"2026-05-18T02:13:59.508958Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:59.508958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jQ2+kI/I5pfgqdIKMwGqc/P5XV73aI7FtWhEaZDqC4MqEXdHHrMOD677dIM2glCCJhR4fEN82ZMOVRd36R4gBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:59.509742Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.2697","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f364a9dbb9a06b496ceaa66169420bfccc05d8c82834351f6231f38f9e9b1e4","sha256:db71c8a9fe9916c4afa978f49d9abe8c6fd015fccf7a817b0406ec864a12aa1d"],"state_sha256":"0fe8e71c6bce48d4a111e367a02283d8f365795fe556632294f55b2c57363459"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CqGMMn3VrmlMecsxL8dxf2suNMMcLA36yXNVr6q1uUYvGnDJj+gxBxPOI0ogZcyqkCRvRQnXGVm4ZGfHdeoKAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:36:17.249928Z","bundle_sha256":"5e7fa951292c468afea157f67bff15a3490e141623ca36fc7fe8cb85737ec537"}}