{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BP2EI5KUGXJTD4F5X57OGX4JFC","short_pith_number":"pith:BP2EI5KU","canonical_record":{"source":{"id":"1105.3578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-18T09:59:46Z","cross_cats_sorted":[],"title_canon_sha256":"844299a40e8646e6572be467f6af85a4df48579ad10378b1e6af4668e2edf0af","abstract_canon_sha256":"2916b6113e34f260bba12b11930ddf3c85c6884bd13f4994ceb360e266554634"},"schema_version":"1.0"},"canonical_sha256":"0bf444755435d331f0bdbf7ee35f89289fb31f1fba3b901397988558b15241a5","source":{"kind":"arxiv","id":"1105.3578","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3578","created_at":"2026-05-18T02:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3578v1","created_at":"2026-05-18T02:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3578","created_at":"2026-05-18T02:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"BP2EI5KUGXJT","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BP2EI5KUGXJTD4F5","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BP2EI5KU","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BP2EI5KUGXJTD4F5X57OGX4JFC","target":"record","payload":{"canonical_record":{"source":{"id":"1105.3578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-18T09:59:46Z","cross_cats_sorted":[],"title_canon_sha256":"844299a40e8646e6572be467f6af85a4df48579ad10378b1e6af4668e2edf0af","abstract_canon_sha256":"2916b6113e34f260bba12b11930ddf3c85c6884bd13f4994ceb360e266554634"},"schema_version":"1.0"},"canonical_sha256":"0bf444755435d331f0bdbf7ee35f89289fb31f1fba3b901397988558b15241a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:56.643466Z","signature_b64":"Hgi09eawINQ/H6+gLNSZoFk9zpE+DvM9lPz+001C0P+DpByhcqByixZpv7P+OMjEMc9E5dB1L9wlynYvTpIuBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bf444755435d331f0bdbf7ee35f89289fb31f1fba3b901397988558b15241a5","last_reissued_at":"2026-05-18T02:01:56.642952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:56.642952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.3578","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":"2026-05-18T02:01:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z/munxAsS0DZM0EgQRUj8okJyQVzmhgzpBYS7txd4DGl/GweOaaACmP69H1F+03yz4+zUoW20Uy3dcsyZZMMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:40:42.410037Z"},"content_sha256":"8c627e2ce4162441a26141e32c02754d49a274210dcfc465f0de7b7f1c566ac1","schema_version":"1.0","event_id":"sha256:8c627e2ce4162441a26141e32c02754d49a274210dcfc465f0de7b7f1c566ac1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BP2EI5KUGXJTD4F5X57OGX4JFC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergence of Long-range Correlations and Rigidity at the Dynamic Glass Transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Elijah Flenner, Grzegorz Szamel","submitted_at":"2011-05-18T09:59:46Z","abstract_excerpt":"At the microscopic level, equilibrium liquid's translational symmetry is spontaneously broken at the so-called dynamic glass transition predicted by the mean-field replica approach. We show that this fact implies the emergence of Goldstone modes and long-range density correlations. We derive and evaluate a new statistical mechanical expression for the glass shear modulus."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3578","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":"2026-05-18T02:01:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GH1EyLadwzJJTjmL7U18GWASZlbIWw9QAoYsiAijHuRjf0uJEeGXKfo8GDZDE4zlUJR6V1x1A+GRWXXt1yQ7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:40:42.410414Z"},"content_sha256":"6522cdc8115cb2034918ecd694f528e563c494f43be289f94276d8594ecea1c0","schema_version":"1.0","event_id":"sha256:6522cdc8115cb2034918ecd694f528e563c494f43be289f94276d8594ecea1c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BP2EI5KUGXJTD4F5X57OGX4JFC/bundle.json","state_url":"https://pith.science/pith/BP2EI5KUGXJTD4F5X57OGX4JFC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BP2EI5KUGXJTD4F5X57OGX4JFC/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":"2026-05-25T23:40:42Z","links":{"resolver":"https://pith.science/pith/BP2EI5KUGXJTD4F5X57OGX4JFC","bundle":"https://pith.science/pith/BP2EI5KUGXJTD4F5X57OGX4JFC/bundle.json","state":"https://pith.science/pith/BP2EI5KUGXJTD4F5X57OGX4JFC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BP2EI5KUGXJTD4F5X57OGX4JFC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BP2EI5KUGXJTD4F5X57OGX4JFC","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":"2916b6113e34f260bba12b11930ddf3c85c6884bd13f4994ceb360e266554634","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-18T09:59:46Z","title_canon_sha256":"844299a40e8646e6572be467f6af85a4df48579ad10378b1e6af4668e2edf0af"},"schema_version":"1.0","source":{"id":"1105.3578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3578","created_at":"2026-05-18T02:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3578v1","created_at":"2026-05-18T02:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3578","created_at":"2026-05-18T02:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"BP2EI5KUGXJT","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BP2EI5KUGXJTD4F5","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BP2EI5KU","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:6522cdc8115cb2034918ecd694f528e563c494f43be289f94276d8594ecea1c0","target":"graph","created_at":"2026-05-18T02:01:56Z","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 the microscopic level, equilibrium liquid's translational symmetry is spontaneously broken at the so-called dynamic glass transition predicted by the mean-field replica approach. We show that this fact implies the emergence of Goldstone modes and long-range density correlations. We derive and evaluate a new statistical mechanical expression for the glass shear modulus.","authors_text":"Elijah Flenner, Grzegorz Szamel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-18T09:59:46Z","title":"Emergence of Long-range Correlations and Rigidity at the Dynamic Glass Transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3578","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":"sha256:8c627e2ce4162441a26141e32c02754d49a274210dcfc465f0de7b7f1c566ac1","target":"record","created_at":"2026-05-18T02:01:56Z","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":"2916b6113e34f260bba12b11930ddf3c85c6884bd13f4994ceb360e266554634","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-18T09:59:46Z","title_canon_sha256":"844299a40e8646e6572be467f6af85a4df48579ad10378b1e6af4668e2edf0af"},"schema_version":"1.0","source":{"id":"1105.3578","kind":"arxiv","version":1}},"canonical_sha256":"0bf444755435d331f0bdbf7ee35f89289fb31f1fba3b901397988558b15241a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bf444755435d331f0bdbf7ee35f89289fb31f1fba3b901397988558b15241a5","first_computed_at":"2026-05-18T02:01:56.642952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:56.642952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hgi09eawINQ/H6+gLNSZoFk9zpE+DvM9lPz+001C0P+DpByhcqByixZpv7P+OMjEMc9E5dB1L9wlynYvTpIuBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:56.643466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c627e2ce4162441a26141e32c02754d49a274210dcfc465f0de7b7f1c566ac1","sha256:6522cdc8115cb2034918ecd694f528e563c494f43be289f94276d8594ecea1c0"],"state_sha256":"a93a4db4bd9d6adc012fbefe69349cd29f42275ff13b1011f3f394f399e04839"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+KSbGo3qrYkevk9yGb8APRHLtYzz63xp7F4KvSAxYyeMBChNhWBKRMY2m7OEA9AGPZqRvHXMdiaLxkHVhhTXBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:40:42.412631Z","bundle_sha256":"93de53c869fee9cde6994ce7e49bd0a650c64a6004542eebfe0e050bebeb2879"}}