{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:JTCDZKRV24HQPB4VMGOASSH2LU","short_pith_number":"pith:JTCDZKRV","canonical_record":{"source":{"id":"1106.4663","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-06-23T09:31:13Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"cbc0c0b08f12316d17efa9eb73f54a3126b82aaae780d1981b0e126f261e2617","abstract_canon_sha256":"aa17ddb08a5162f3695e09f56a0dd96f01931ef94174665ae442e7b60cec4e9e"},"schema_version":"1.0"},"canonical_sha256":"4cc43caa35d70f078795619c0948fa5d0cbc2e1615a4c2be3b8af061ac078c57","source":{"kind":"arxiv","id":"1106.4663","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4663","created_at":"2026-05-18T04:09:25Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4663v2","created_at":"2026-05-18T04:09:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4663","created_at":"2026-05-18T04:09:25Z"},{"alias_kind":"pith_short_12","alias_value":"JTCDZKRV24HQ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JTCDZKRV24HQPB4V","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JTCDZKRV","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:JTCDZKRV24HQPB4VMGOASSH2LU","target":"record","payload":{"canonical_record":{"source":{"id":"1106.4663","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-06-23T09:31:13Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"cbc0c0b08f12316d17efa9eb73f54a3126b82aaae780d1981b0e126f261e2617","abstract_canon_sha256":"aa17ddb08a5162f3695e09f56a0dd96f01931ef94174665ae442e7b60cec4e9e"},"schema_version":"1.0"},"canonical_sha256":"4cc43caa35d70f078795619c0948fa5d0cbc2e1615a4c2be3b8af061ac078c57","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:25.142370Z","signature_b64":"TfjkQ1KIwYqJ//d1C0ufyI7IePo05ZTHTIVqWISO7SNSPTcJiV7Xz6eubmQOUjDbkq20reWAq3vkAm3T8FewCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cc43caa35d70f078795619c0948fa5d0cbc2e1615a4c2be3b8af061ac078c57","last_reissued_at":"2026-05-18T04:09:25.141836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:25.141836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.4663","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":"2026-05-18T04:09:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T5qdMZ1bpdnXmiipogvCu55f+yLHZhbzgpdyErRPRQP5v74nvfrnaP1D8hQW9Nv2+/wJEK7kGiNw3QC10YchDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:12:48.447345Z"},"content_sha256":"50374e28619db72cd7204aa906739ece9ce622a43aca96fe692f429467ea0a1f","schema_version":"1.0","event_id":"sha256:50374e28619db72cd7204aa906739ece9ce622a43aca96fe692f429467ea0a1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:JTCDZKRV24HQPB4VMGOASSH2LU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Microscopic theory of the jamming transition of harmonic spheres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Francesco Zamponi, Hugo Jacquin, Ludovic Berthier","submitted_at":"2011-06-23T09:31:13Z","abstract_excerpt":"We develop a microscopic theory to analyze the phase behaviour and compute correlation functions of dense assemblies of soft repulsive particles both at finite temperature, as in colloidal materials, and at vanishing temperature, a situation relevant for granular materials and emulsions. We use a mean-field statistical mechanical approach which combines elements of liquid state theory to replica calculations to obtain quantitative predictions for the location of phase boundaries, macroscopic thermodynamic properties and microstructure of the system. We focus in particular on the derivation of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4663","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":"2026-05-18T04:09:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hz7qbL1E683sR6TitggCJmciDPE7wjtowsERpoHbTjZ6x2WK+CUptzodKd1FUpz/TpIw9VDZSN+LRK3gC9s6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:12:48.448090Z"},"content_sha256":"b5e6eec28038201624df1cae38f51100d2726944170afefb9bfa20b497e62e03","schema_version":"1.0","event_id":"sha256:b5e6eec28038201624df1cae38f51100d2726944170afefb9bfa20b497e62e03"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JTCDZKRV24HQPB4VMGOASSH2LU/bundle.json","state_url":"https://pith.science/pith/JTCDZKRV24HQPB4VMGOASSH2LU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JTCDZKRV24HQPB4VMGOASSH2LU/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":"2026-05-31T22:12:48Z","links":{"resolver":"https://pith.science/pith/JTCDZKRV24HQPB4VMGOASSH2LU","bundle":"https://pith.science/pith/JTCDZKRV24HQPB4VMGOASSH2LU/bundle.json","state":"https://pith.science/pith/JTCDZKRV24HQPB4VMGOASSH2LU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JTCDZKRV24HQPB4VMGOASSH2LU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JTCDZKRV24HQPB4VMGOASSH2LU","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":"aa17ddb08a5162f3695e09f56a0dd96f01931ef94174665ae442e7b60cec4e9e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-06-23T09:31:13Z","title_canon_sha256":"cbc0c0b08f12316d17efa9eb73f54a3126b82aaae780d1981b0e126f261e2617"},"schema_version":"1.0","source":{"id":"1106.4663","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4663","created_at":"2026-05-18T04:09:25Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4663v2","created_at":"2026-05-18T04:09:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4663","created_at":"2026-05-18T04:09:25Z"},{"alias_kind":"pith_short_12","alias_value":"JTCDZKRV24HQ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JTCDZKRV24HQPB4V","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JTCDZKRV","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:b5e6eec28038201624df1cae38f51100d2726944170afefb9bfa20b497e62e03","target":"graph","created_at":"2026-05-18T04:09:25Z","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 develop a microscopic theory to analyze the phase behaviour and compute correlation functions of dense assemblies of soft repulsive particles both at finite temperature, as in colloidal materials, and at vanishing temperature, a situation relevant for granular materials and emulsions. We use a mean-field statistical mechanical approach which combines elements of liquid state theory to replica calculations to obtain quantitative predictions for the location of phase boundaries, macroscopic thermodynamic properties and microstructure of the system. We focus in particular on the derivation of ","authors_text":"Francesco Zamponi, Hugo Jacquin, Ludovic Berthier","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-06-23T09:31:13Z","title":"Microscopic theory of the jamming transition of harmonic spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4663","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":"sha256:50374e28619db72cd7204aa906739ece9ce622a43aca96fe692f429467ea0a1f","target":"record","created_at":"2026-05-18T04:09:25Z","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":"aa17ddb08a5162f3695e09f56a0dd96f01931ef94174665ae442e7b60cec4e9e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-06-23T09:31:13Z","title_canon_sha256":"cbc0c0b08f12316d17efa9eb73f54a3126b82aaae780d1981b0e126f261e2617"},"schema_version":"1.0","source":{"id":"1106.4663","kind":"arxiv","version":2}},"canonical_sha256":"4cc43caa35d70f078795619c0948fa5d0cbc2e1615a4c2be3b8af061ac078c57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cc43caa35d70f078795619c0948fa5d0cbc2e1615a4c2be3b8af061ac078c57","first_computed_at":"2026-05-18T04:09:25.141836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:25.141836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TfjkQ1KIwYqJ//d1C0ufyI7IePo05ZTHTIVqWISO7SNSPTcJiV7Xz6eubmQOUjDbkq20reWAq3vkAm3T8FewCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:25.142370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4663","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50374e28619db72cd7204aa906739ece9ce622a43aca96fe692f429467ea0a1f","sha256:b5e6eec28038201624df1cae38f51100d2726944170afefb9bfa20b497e62e03"],"state_sha256":"518b2faf99ba943e94a8f0c639cf7ace594fa1313e61e084c0306c51f44f947f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8bhW5/qQ2RfgOIfW57rrbla7eTpENvHFM/Nx68x91Rt93UquSPele+4UVqq8qzrZ3zLtQuSAhYPdEblT4hBgCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T22:12:48.452795Z","bundle_sha256":"46a25aa94af129c326e132027112b772514f90d66f03aeb011625dd0fd9ad600"}}