{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:Z7WASVWCNQEEBOTRNMEQNVOLND","short_pith_number":"pith:Z7WASVWC","canonical_record":{"source":{"id":"0912.1861","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-12-09T21:04:20Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7c2c5ea8d3a89e00b1a073677fa9153752badf1f9f7be1f0941919f9e5efd670","abstract_canon_sha256":"99a4be7a4a960c6745cbcf5208f2a05ce21ad373fd9354127ed43666d64129f3"},"schema_version":"1.0"},"canonical_sha256":"cfec0956c26c0840ba716b0906d5cb68c48744a42ee9a1dee5778cab7284f5b5","source":{"kind":"arxiv","id":"0912.1861","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.1861","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"arxiv_version","alias_value":"0912.1861v2","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.1861","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"pith_short_12","alias_value":"Z7WASVWCNQEE","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"Z7WASVWCNQEEBOTR","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"Z7WASVWC","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:Z7WASVWCNQEEBOTRNMEQNVOLND","target":"record","payload":{"canonical_record":{"source":{"id":"0912.1861","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-12-09T21:04:20Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7c2c5ea8d3a89e00b1a073677fa9153752badf1f9f7be1f0941919f9e5efd670","abstract_canon_sha256":"99a4be7a4a960c6745cbcf5208f2a05ce21ad373fd9354127ed43666d64129f3"},"schema_version":"1.0"},"canonical_sha256":"cfec0956c26c0840ba716b0906d5cb68c48744a42ee9a1dee5778cab7284f5b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:25.086173Z","signature_b64":"6LpbqLHEip7mA/KzURN5jEDwlIZj/VBcERvq8BeJgb0ELgWqgN3TvSK14u4arc+UVm3PEV2BNKMY3K3DWZPPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfec0956c26c0840ba716b0906d5cb68c48744a42ee9a1dee5778cab7284f5b5","last_reissued_at":"2026-05-18T02:10:25.085710Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:25.085710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.1861","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":"2026-05-18T02:10:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WcdECL1D7lOuvc9kQknX4gS+T3t+SKgJM8RFDUaEQM1by3gjBoeryusQvjEd0bU89wk6QjAKoMPzEE49I0wRDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:22:28.945204Z"},"content_sha256":"56931956ef54a11b66c5358c20e4c9b2b012da4e3ddb2ffcad53336dbca99705","schema_version":"1.0","event_id":"sha256:56931956ef54a11b66c5358c20e4c9b2b012da4e3ddb2ffcad53336dbca99705"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:Z7WASVWCNQEEBOTRNMEQNVOLND","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Layering in Crumpled Sheets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Charles Radin, David Aristoff","submitted_at":"2009-12-09T21:04:20Z","abstract_excerpt":"We introduce a toy model of crumpled sheets. We use simulation to show there is a first order phase transition in the model, from a disordered dilute phase to a mixture with a layered phase."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1861","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":"2026-05-18T02:10:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hYk1/b1bfiLMfFVIR9EEdm2uH8aWLKE/SSsOSDhOv2xv5A8Z8gGf2mj0+J+hF2zu8IXrYHrhjZVwQUiTtuAhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:22:28.945976Z"},"content_sha256":"94847600fd9bf9314c2922cc33849b0fabc75b25391b9a3d02d3ae1236958df6","schema_version":"1.0","event_id":"sha256:94847600fd9bf9314c2922cc33849b0fabc75b25391b9a3d02d3ae1236958df6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z7WASVWCNQEEBOTRNMEQNVOLND/bundle.json","state_url":"https://pith.science/pith/Z7WASVWCNQEEBOTRNMEQNVOLND/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z7WASVWCNQEEBOTRNMEQNVOLND/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":"2026-06-09T19:22:28Z","links":{"resolver":"https://pith.science/pith/Z7WASVWCNQEEBOTRNMEQNVOLND","bundle":"https://pith.science/pith/Z7WASVWCNQEEBOTRNMEQNVOLND/bundle.json","state":"https://pith.science/pith/Z7WASVWCNQEEBOTRNMEQNVOLND/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z7WASVWCNQEEBOTRNMEQNVOLND/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:Z7WASVWCNQEEBOTRNMEQNVOLND","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":"99a4be7a4a960c6745cbcf5208f2a05ce21ad373fd9354127ed43666d64129f3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-12-09T21:04:20Z","title_canon_sha256":"7c2c5ea8d3a89e00b1a073677fa9153752badf1f9f7be1f0941919f9e5efd670"},"schema_version":"1.0","source":{"id":"0912.1861","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.1861","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"arxiv_version","alias_value":"0912.1861v2","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.1861","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"pith_short_12","alias_value":"Z7WASVWCNQEE","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"Z7WASVWCNQEEBOTR","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"Z7WASVWC","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:94847600fd9bf9314c2922cc33849b0fabc75b25391b9a3d02d3ae1236958df6","target":"graph","created_at":"2026-05-18T02:10:25Z","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 introduce a toy model of crumpled sheets. We use simulation to show there is a first order phase transition in the model, from a disordered dilute phase to a mixture with a layered phase.","authors_text":"Charles Radin, David Aristoff","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-12-09T21:04:20Z","title":"Layering in Crumpled Sheets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1861","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":"sha256:56931956ef54a11b66c5358c20e4c9b2b012da4e3ddb2ffcad53336dbca99705","target":"record","created_at":"2026-05-18T02:10:25Z","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":"99a4be7a4a960c6745cbcf5208f2a05ce21ad373fd9354127ed43666d64129f3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-12-09T21:04:20Z","title_canon_sha256":"7c2c5ea8d3a89e00b1a073677fa9153752badf1f9f7be1f0941919f9e5efd670"},"schema_version":"1.0","source":{"id":"0912.1861","kind":"arxiv","version":2}},"canonical_sha256":"cfec0956c26c0840ba716b0906d5cb68c48744a42ee9a1dee5778cab7284f5b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cfec0956c26c0840ba716b0906d5cb68c48744a42ee9a1dee5778cab7284f5b5","first_computed_at":"2026-05-18T02:10:25.085710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:25.085710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6LpbqLHEip7mA/KzURN5jEDwlIZj/VBcERvq8BeJgb0ELgWqgN3TvSK14u4arc+UVm3PEV2BNKMY3K3DWZPPDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:25.086173Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.1861","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56931956ef54a11b66c5358c20e4c9b2b012da4e3ddb2ffcad53336dbca99705","sha256:94847600fd9bf9314c2922cc33849b0fabc75b25391b9a3d02d3ae1236958df6"],"state_sha256":"dfe1755a66d536e38229f5be88a5ab0281ad09a77e15ea4ff1b4c7a3ae089dea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I2zMydmE9zl5NMqAP0U7KgaCSZaVZDgmRdb03b5uOlKa5epoNYUp9FWK85jd5E+kFG6ifjwKwmDv+kZGnr1iCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:22:28.950077Z","bundle_sha256":"e7265d7f9435eccaca1635b6545bb21e543d1bdc41508d2dff855d6dffd1f045"}}