{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SI4AHE55H52XALQFBB5NFMVPZG","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":"e5c5f72d59eadd9ca53e00aa735eea384fe9f479e234d0c4cc3d6f98b5825918","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-02-18T07:38:05Z","title_canon_sha256":"bcfb4b4e832282c268b58a694e992b1f0015d2e61829c0ab6656b583259a1735"},"schema_version":"1.0","source":{"id":"1502.05143","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05143","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05143v1","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05143","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"pith_short_12","alias_value":"SI4AHE55H52X","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SI4AHE55H52XALQF","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SI4AHE55","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:e61701ced0edfa0946d1c5e9fd918bba21dd161ac2936af65006a72e0033b74c","target":"graph","created_at":"2026-05-17T23:42:54Z","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 present a study of the fiber bundle model using equal load sharing dynamics where the breaking thresholds of the fibers are drawn randomly from a power law distribution of the form $p(b)\\sim b^{-1}$ in the range $10^{-\\beta}$ to $10^{\\beta}$. Tuning the value of $\\beta$ continuously over a wide range, the critical behavior of the fiber bundle has been studied both analytically as well as numerically. Our results are: (i) The critical load $\\sigma_c(\\beta,N)$ for the bundle of size $N$ approaches its asymptotic value $\\sigma_c(\\beta)$ as $\\sigma_c(\\beta,N) = \\sigma_c(\\beta)+AN^{-1/\\nu(\\beta)","authors_text":"Chandreyee Roy, S. S. Manna, Sumanta Kundu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-02-18T07:38:05Z","title":"Fiber Bundle model with Highly Disordered Breaking Thresholds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05143","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:fdc7c74145e129be4cdda4e80e641c30967d87d916b7f3873bfff8be659e73f0","target":"record","created_at":"2026-05-17T23:42:54Z","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":"e5c5f72d59eadd9ca53e00aa735eea384fe9f479e234d0c4cc3d6f98b5825918","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-02-18T07:38:05Z","title_canon_sha256":"bcfb4b4e832282c268b58a694e992b1f0015d2e61829c0ab6656b583259a1735"},"schema_version":"1.0","source":{"id":"1502.05143","kind":"arxiv","version":1}},"canonical_sha256":"92380393bd3f75702e05087ad2b2afc98e46ed1dac166c8db892623d84c622d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92380393bd3f75702e05087ad2b2afc98e46ed1dac166c8db892623d84c622d3","first_computed_at":"2026-05-17T23:42:54.126534Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:54.126534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F/j1riR+T5C8K0VHhIx3d9AqW4A6UCQsS0DxwtneqTRYIWm+HIqgMKAnp55v6EiGfiJeOChkGJLC00JerfxGBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:54.127166Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05143","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdc7c74145e129be4cdda4e80e641c30967d87d916b7f3873bfff8be659e73f0","sha256:e61701ced0edfa0946d1c5e9fd918bba21dd161ac2936af65006a72e0033b74c"],"state_sha256":"044e3200f3538179544cbb2445d40cb6d6de9eceff18ac303e0db3c76228b5e3"}