{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IVOI4VJGUJJLDZYAWVMJR4HHJC","short_pith_number":"pith:IVOI4VJG","canonical_record":{"source":{"id":"1710.07317","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-10-19T18:49:58Z","cross_cats_sorted":[],"title_canon_sha256":"d92c1e60c54af9843408213ff27fb2f1109eb27d9b0fc65e6fda3951e21773f1","abstract_canon_sha256":"34e5bf77e38d351c2d2ded796b207c7639e76237a69206a43548d877832f9ed6"},"schema_version":"1.0"},"canonical_sha256":"455c8e5526a252b1e700b55898f0e7489148445022baddfd607cd8b04549d8fa","source":{"kind":"arxiv","id":"1710.07317","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07317","created_at":"2026-05-18T00:05:32Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07317v2","created_at":"2026-05-18T00:05:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07317","created_at":"2026-05-18T00:05:32Z"},{"alias_kind":"pith_short_12","alias_value":"IVOI4VJGUJJL","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IVOI4VJGUJJLDZYA","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IVOI4VJG","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IVOI4VJGUJJLDZYAWVMJR4HHJC","target":"record","payload":{"canonical_record":{"source":{"id":"1710.07317","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-10-19T18:49:58Z","cross_cats_sorted":[],"title_canon_sha256":"d92c1e60c54af9843408213ff27fb2f1109eb27d9b0fc65e6fda3951e21773f1","abstract_canon_sha256":"34e5bf77e38d351c2d2ded796b207c7639e76237a69206a43548d877832f9ed6"},"schema_version":"1.0"},"canonical_sha256":"455c8e5526a252b1e700b55898f0e7489148445022baddfd607cd8b04549d8fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:32.633999Z","signature_b64":"05T1wVc1YDpGOF0mcaUrBWHkZuu1a+wrXJZlHblxdEKLsBVn6PK1obnZHDOjlaXHRzDG3na+jqgg7/rtWMhJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"455c8e5526a252b1e700b55898f0e7489148445022baddfd607cd8b04549d8fa","last_reissued_at":"2026-05-18T00:05:32.633304Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:32.633304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.07317","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":"2026-05-18T00:05:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tlLuahiwUPJe8xmbPVcfKI6nvJlPgRCCBi7Q7u/x0JC12AJhKPilqBkHgrdWUrjovl8yc/7w0dZJThUeMMZTCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:10:26.392450Z"},"content_sha256":"e0f1b573df342c9184ae697ad07db6690c9ff41ac4d3b37dff70078252f05c30","schema_version":"1.0","event_id":"sha256:e0f1b573df342c9184ae697ad07db6690c9ff41ac4d3b37dff70078252f05c30"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IVOI4VJGUJJLDZYAWVMJR4HHJC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two diverging length scales in the structure of jammed packings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Andrea J. Liu, Daniel Hexner, Sidney R. Nagel","submitted_at":"2017-10-19T18:49:58Z","abstract_excerpt":"At densities higher than the jamming transition for athermal, frictionless repulsive spheres we find two distinct length scales, both of which diverge as a power law as the transition is approached. The first, $\\xi_{Z}$, is associated with the two-point correlation function for the number of contacts on two particles as a function of the particle separation. The second, $\\xi_{f}$, is associated with contact-number fluctuations in subsystems of different sizes. On scales below $\\xi_{f}$ the fluctuations are highly suppressed, similar to the phenomenon of hyperuniformity usually associated with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07317","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":"2026-05-18T00:05:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2PhJ/mVe2Ou+iQ/U3JpCHDZbHvlStO7P8eLDePdalvCrEAvFa+7PdpgemEW+I3jq3oD0/7NDgwMcyPep5esLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:10:26.392813Z"},"content_sha256":"8cba7cb0ae1b61f14a806860323b9bfc2a0433b7a97cce66693f1e5f30f46b4e","schema_version":"1.0","event_id":"sha256:8cba7cb0ae1b61f14a806860323b9bfc2a0433b7a97cce66693f1e5f30f46b4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IVOI4VJGUJJLDZYAWVMJR4HHJC/bundle.json","state_url":"https://pith.science/pith/IVOI4VJGUJJLDZYAWVMJR4HHJC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IVOI4VJGUJJLDZYAWVMJR4HHJC/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":"2026-05-30T04:10:26Z","links":{"resolver":"https://pith.science/pith/IVOI4VJGUJJLDZYAWVMJR4HHJC","bundle":"https://pith.science/pith/IVOI4VJGUJJLDZYAWVMJR4HHJC/bundle.json","state":"https://pith.science/pith/IVOI4VJGUJJLDZYAWVMJR4HHJC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IVOI4VJGUJJLDZYAWVMJR4HHJC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IVOI4VJGUJJLDZYAWVMJR4HHJC","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":"34e5bf77e38d351c2d2ded796b207c7639e76237a69206a43548d877832f9ed6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-10-19T18:49:58Z","title_canon_sha256":"d92c1e60c54af9843408213ff27fb2f1109eb27d9b0fc65e6fda3951e21773f1"},"schema_version":"1.0","source":{"id":"1710.07317","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07317","created_at":"2026-05-18T00:05:32Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07317v2","created_at":"2026-05-18T00:05:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07317","created_at":"2026-05-18T00:05:32Z"},{"alias_kind":"pith_short_12","alias_value":"IVOI4VJGUJJL","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IVOI4VJGUJJLDZYA","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IVOI4VJG","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:8cba7cb0ae1b61f14a806860323b9bfc2a0433b7a97cce66693f1e5f30f46b4e","target":"graph","created_at":"2026-05-18T00:05:32Z","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":"At densities higher than the jamming transition for athermal, frictionless repulsive spheres we find two distinct length scales, both of which diverge as a power law as the transition is approached. The first, $\\xi_{Z}$, is associated with the two-point correlation function for the number of contacts on two particles as a function of the particle separation. The second, $\\xi_{f}$, is associated with contact-number fluctuations in subsystems of different sizes. On scales below $\\xi_{f}$ the fluctuations are highly suppressed, similar to the phenomenon of hyperuniformity usually associated with ","authors_text":"Andrea J. Liu, Daniel Hexner, Sidney R. Nagel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-10-19T18:49:58Z","title":"Two diverging length scales in the structure of jammed packings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07317","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:e0f1b573df342c9184ae697ad07db6690c9ff41ac4d3b37dff70078252f05c30","target":"record","created_at":"2026-05-18T00:05:32Z","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":"34e5bf77e38d351c2d2ded796b207c7639e76237a69206a43548d877832f9ed6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-10-19T18:49:58Z","title_canon_sha256":"d92c1e60c54af9843408213ff27fb2f1109eb27d9b0fc65e6fda3951e21773f1"},"schema_version":"1.0","source":{"id":"1710.07317","kind":"arxiv","version":2}},"canonical_sha256":"455c8e5526a252b1e700b55898f0e7489148445022baddfd607cd8b04549d8fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"455c8e5526a252b1e700b55898f0e7489148445022baddfd607cd8b04549d8fa","first_computed_at":"2026-05-18T00:05:32.633304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:32.633304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"05T1wVc1YDpGOF0mcaUrBWHkZuu1a+wrXJZlHblxdEKLsBVn6PK1obnZHDOjlaXHRzDG3na+jqgg7/rtWMhJDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:32.633999Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07317","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0f1b573df342c9184ae697ad07db6690c9ff41ac4d3b37dff70078252f05c30","sha256:8cba7cb0ae1b61f14a806860323b9bfc2a0433b7a97cce66693f1e5f30f46b4e"],"state_sha256":"b8d81b644828148b345165c19e3bfbdc87460fa91ba8e8b9aec110b7cc8a33d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C9LbEEf5dZOZ3MzU+GckOmM0uE9Qj5cf0mti17bX6AMA2a6+CHvmDGcQPck7pIuppNLcJf+BRWp5OS9y5OvsBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T04:10:26.394986Z","bundle_sha256":"d1da5c6b612fa3d92c16c837f3e73eea92f4a90df65fa84076a00c6d09e56bcc"}}