{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:BGDIWLXVTLON33NYKXUO4B27NM","short_pith_number":"pith:BGDIWLXV","canonical_record":{"source":{"id":"1506.07792","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2015-06-25T15:42:39Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"b6e502558ed58738a36ce1e851f2d2bba9cf328ab831994a2f6da65729ffe442","abstract_canon_sha256":"5d3f04e25a3ab2be9d503dcbe499403fc6800bdd325a723bc17bf4b217c1cf71"},"schema_version":"1.0"},"canonical_sha256":"09868b2ef59adcddedb855e8ee075f6b29a48de32040065f3512ca6d059f2f0d","source":{"kind":"arxiv","id":"1506.07792","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07792","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07792v1","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07792","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"BGDIWLXVTLON","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BGDIWLXVTLON33NY","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BGDIWLXV","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:BGDIWLXVTLON33NYKXUO4B27NM","target":"record","payload":{"canonical_record":{"source":{"id":"1506.07792","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2015-06-25T15:42:39Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"b6e502558ed58738a36ce1e851f2d2bba9cf328ab831994a2f6da65729ffe442","abstract_canon_sha256":"5d3f04e25a3ab2be9d503dcbe499403fc6800bdd325a723bc17bf4b217c1cf71"},"schema_version":"1.0"},"canonical_sha256":"09868b2ef59adcddedb855e8ee075f6b29a48de32040065f3512ca6d059f2f0d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:08.411942Z","signature_b64":"xpdMh7fdxLedPkHOj6ZaMvB6yS5MBzUnhEudebX7GHFMRpoNyaVAy/+i9JnZKlvrPY9mJ2KN0BvuQ2jBu0kRDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09868b2ef59adcddedb855e8ee075f6b29a48de32040065f3512ca6d059f2f0d","last_reissued_at":"2026-05-18T01:12:08.411335Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:08.411335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.07792","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":"2026-05-18T01:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xzrvk1o2u2kiD1r9fraRu+R0JfX6/neWqNQJ10G81NwFbAtZK14ZFB+OSfehW1Ha58rR9KI7t32UZVO6WmKzBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:35:39.130416Z"},"content_sha256":"c0896a9b59c87fcd5847185d9eaea223aad4c6e6f31b30d8e06529b419a53b69","schema_version":"1.0","event_id":"sha256:c0896a9b59c87fcd5847185d9eaea223aad4c6e6f31b30d8e06529b419a53b69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:BGDIWLXVTLON33NYKXUO4B27NM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strain-controlled criticality governs the nonlinear mechanics of fibre networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"physics.bio-ph","authors_text":"A.J. Licup, A. Sharma, F.C. MacKintosh, G.H. Koenderink, K.A. Jansen, M. Sheinman, R. Rens","submitted_at":"2015-06-25T15:42:39Z","abstract_excerpt":"Disordered fibrous networks are ubiquitous in nature as major structural components of living cells and tissues. The mechanical stability of networks generally depends on the degree of connectivity: only when the average number of connections between nodes exceeds the isostatic threshold are networks stable (Maxwell, J. C., Philosophical Magazine 27, 294 (1864)). Upon increasing the connectivity through this point, such networks undergo a mechanical phase transition from a floppy to a rigid phase. However, even sub-isostatic networks become rigid when subjected to sufficiently large deformatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07792","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":"2026-05-18T01:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YAZKbSh8xijGc+IcBVvQpn4FKFr36fBgswrPyrVFwrsfykPHA/L8o73nH8/Jc2iGnpPhAJmfo66YF1HTSxydCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:35:39.130771Z"},"content_sha256":"8e11b8af6603a0cc6bd525320c8b3720b9099a85008532e138688ea7022b521d","schema_version":"1.0","event_id":"sha256:8e11b8af6603a0cc6bd525320c8b3720b9099a85008532e138688ea7022b521d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BGDIWLXVTLON33NYKXUO4B27NM/bundle.json","state_url":"https://pith.science/pith/BGDIWLXVTLON33NYKXUO4B27NM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BGDIWLXVTLON33NYKXUO4B27NM/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":"2026-06-22T15:35:39Z","links":{"resolver":"https://pith.science/pith/BGDIWLXVTLON33NYKXUO4B27NM","bundle":"https://pith.science/pith/BGDIWLXVTLON33NYKXUO4B27NM/bundle.json","state":"https://pith.science/pith/BGDIWLXVTLON33NYKXUO4B27NM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BGDIWLXVTLON33NYKXUO4B27NM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BGDIWLXVTLON33NYKXUO4B27NM","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":"5d3f04e25a3ab2be9d503dcbe499403fc6800bdd325a723bc17bf4b217c1cf71","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2015-06-25T15:42:39Z","title_canon_sha256":"b6e502558ed58738a36ce1e851f2d2bba9cf328ab831994a2f6da65729ffe442"},"schema_version":"1.0","source":{"id":"1506.07792","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07792","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07792v1","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07792","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"BGDIWLXVTLON","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BGDIWLXVTLON33NY","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BGDIWLXV","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:8e11b8af6603a0cc6bd525320c8b3720b9099a85008532e138688ea7022b521d","target":"graph","created_at":"2026-05-18T01:12:08Z","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":"Disordered fibrous networks are ubiquitous in nature as major structural components of living cells and tissues. The mechanical stability of networks generally depends on the degree of connectivity: only when the average number of connections between nodes exceeds the isostatic threshold are networks stable (Maxwell, J. C., Philosophical Magazine 27, 294 (1864)). Upon increasing the connectivity through this point, such networks undergo a mechanical phase transition from a floppy to a rigid phase. However, even sub-isostatic networks become rigid when subjected to sufficiently large deformatio","authors_text":"A.J. Licup, A. Sharma, F.C. MacKintosh, G.H. Koenderink, K.A. Jansen, M. Sheinman, R. Rens","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2015-06-25T15:42:39Z","title":"Strain-controlled criticality governs the nonlinear mechanics of fibre networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07792","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:c0896a9b59c87fcd5847185d9eaea223aad4c6e6f31b30d8e06529b419a53b69","target":"record","created_at":"2026-05-18T01:12:08Z","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":"5d3f04e25a3ab2be9d503dcbe499403fc6800bdd325a723bc17bf4b217c1cf71","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2015-06-25T15:42:39Z","title_canon_sha256":"b6e502558ed58738a36ce1e851f2d2bba9cf328ab831994a2f6da65729ffe442"},"schema_version":"1.0","source":{"id":"1506.07792","kind":"arxiv","version":1}},"canonical_sha256":"09868b2ef59adcddedb855e8ee075f6b29a48de32040065f3512ca6d059f2f0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09868b2ef59adcddedb855e8ee075f6b29a48de32040065f3512ca6d059f2f0d","first_computed_at":"2026-05-18T01:12:08.411335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:08.411335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xpdMh7fdxLedPkHOj6ZaMvB6yS5MBzUnhEudebX7GHFMRpoNyaVAy/+i9JnZKlvrPY9mJ2KN0BvuQ2jBu0kRDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:08.411942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07792","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0896a9b59c87fcd5847185d9eaea223aad4c6e6f31b30d8e06529b419a53b69","sha256:8e11b8af6603a0cc6bd525320c8b3720b9099a85008532e138688ea7022b521d"],"state_sha256":"11962e06dfc8a0bbf92d41f5ff00d07291a3b7ca72618d9a2b5f33f87ca5b38a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F3STo0T5ui2PDgN2un0kuQUb5wro8vVuzoEzeRrfsL9dOWZWaTYpxdg4qgRBr/YIE9DG7M7ItJcS5Uw1du1pBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:35:39.132767Z","bundle_sha256":"e1bff8a40e785829b442b96e6b14960dd871a4ad5511438f2b2ed3f13965bd3a"}}