{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:22OURN42J7BL6WS7S6IHDIV6BW","short_pith_number":"pith:22OURN42","canonical_record":{"source":{"id":"0911.1410","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-11-07T12:07:58Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3d0f2986992a944b91b600754f75f71dfa7d95bc3eb2bece54077f670029b633","abstract_canon_sha256":"f600a6f11043d47aae6d0c53b98ab690a4d9a18619093e03bff1c90bd8bde984"},"schema_version":"1.0"},"canonical_sha256":"d69d48b79a4fc2bf5a5f979071a2be0d81a93b346a6c9369b6ffffaaefae8349","source":{"kind":"arxiv","id":"0911.1410","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1410","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1410v1","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1410","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"22OURN42J7BL","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"22OURN42J7BL6WS7","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"22OURN42","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:22OURN42J7BL6WS7S6IHDIV6BW","target":"record","payload":{"canonical_record":{"source":{"id":"0911.1410","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-11-07T12:07:58Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3d0f2986992a944b91b600754f75f71dfa7d95bc3eb2bece54077f670029b633","abstract_canon_sha256":"f600a6f11043d47aae6d0c53b98ab690a4d9a18619093e03bff1c90bd8bde984"},"schema_version":"1.0"},"canonical_sha256":"d69d48b79a4fc2bf5a5f979071a2be0d81a93b346a6c9369b6ffffaaefae8349","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:58.408746Z","signature_b64":"P13+OszMwhZNswswxnXqpUti1QQWkEzH8+5dJfR24PUqbMREsVMXeEl+hLmLLCgtpeBbDNKk1XjYWKA4bl9uAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d69d48b79a4fc2bf5a5f979071a2be0d81a93b346a6c9369b6ffffaaefae8349","last_reissued_at":"2026-05-18T02:10:58.407934Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:58.407934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.1410","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":"2026-05-18T02:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rf6OizmaB+SAbfXbNd/GJllJtHrGe91c9mCsY6efXVekAxVcNOC0wkg+eD9t1qpaKqTY8u29kB1WAO8YoBddCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:00:06.937764Z"},"content_sha256":"0a53d806c1c82f39f5983a6c978ca05f8785b9a7b1d7ce6e67b9aa7461967301","schema_version":"1.0","event_id":"sha256:0a53d806c1c82f39f5983a6c978ca05f8785b9a7b1d7ce6e67b9aa7461967301"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:22OURN42J7BL6WS7S6IHDIV6BW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coarse-graining microscopic strains in a harmonic, two-dimensional solid and its implications for elasticity: non-local susceptibilities and non-affine noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"K. Franzrahe, P. Nielaba, S. Sengupta","submitted_at":"2009-11-07T12:07:58Z","abstract_excerpt":"In soft matter systems the local displacement field can be accessed directly by video microscopy enabling one to compute local strain fields and hence the elastic moduli using a coarse-graining procedure. We study this process for a simple triangular lattice of particles connected by harmonic springs in two-dimensions. Coarse-graining local strains obtained from particle configurations in a Monte Carlo simulation generates non-trivial, non-local strain correlations (susceptibilities), which may be understood within a generalized, Landau type elastic Hamiltonian containing up to quartic terms i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1410","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":"2026-05-18T02:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vnk8ILy3AhUYM2Rf7xJGCmCWbi8VPsb3klVcm4HxNkQKRRrQIOJ25R6moRrcb9CKbvLyyMt/KzNNW7gx2d2FCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:00:06.938118Z"},"content_sha256":"050f9bddaff6043d79bd8194953b3334ab8207d88a455303b917a8ff67fa43d1","schema_version":"1.0","event_id":"sha256:050f9bddaff6043d79bd8194953b3334ab8207d88a455303b917a8ff67fa43d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/22OURN42J7BL6WS7S6IHDIV6BW/bundle.json","state_url":"https://pith.science/pith/22OURN42J7BL6WS7S6IHDIV6BW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/22OURN42J7BL6WS7S6IHDIV6BW/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":"2026-05-30T16:00:06Z","links":{"resolver":"https://pith.science/pith/22OURN42J7BL6WS7S6IHDIV6BW","bundle":"https://pith.science/pith/22OURN42J7BL6WS7S6IHDIV6BW/bundle.json","state":"https://pith.science/pith/22OURN42J7BL6WS7S6IHDIV6BW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/22OURN42J7BL6WS7S6IHDIV6BW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:22OURN42J7BL6WS7S6IHDIV6BW","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":"f600a6f11043d47aae6d0c53b98ab690a4d9a18619093e03bff1c90bd8bde984","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-11-07T12:07:58Z","title_canon_sha256":"3d0f2986992a944b91b600754f75f71dfa7d95bc3eb2bece54077f670029b633"},"schema_version":"1.0","source":{"id":"0911.1410","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1410","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1410v1","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1410","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"22OURN42J7BL","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"22OURN42J7BL6WS7","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"22OURN42","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:050f9bddaff6043d79bd8194953b3334ab8207d88a455303b917a8ff67fa43d1","target":"graph","created_at":"2026-05-18T02:10:58Z","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":"In soft matter systems the local displacement field can be accessed directly by video microscopy enabling one to compute local strain fields and hence the elastic moduli using a coarse-graining procedure. We study this process for a simple triangular lattice of particles connected by harmonic springs in two-dimensions. Coarse-graining local strains obtained from particle configurations in a Monte Carlo simulation generates non-trivial, non-local strain correlations (susceptibilities), which may be understood within a generalized, Landau type elastic Hamiltonian containing up to quartic terms i","authors_text":"K. Franzrahe, P. Nielaba, S. Sengupta","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-11-07T12:07:58Z","title":"Coarse-graining microscopic strains in a harmonic, two-dimensional solid and its implications for elasticity: non-local susceptibilities and non-affine noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1410","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":"sha256:0a53d806c1c82f39f5983a6c978ca05f8785b9a7b1d7ce6e67b9aa7461967301","target":"record","created_at":"2026-05-18T02:10:58Z","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":"f600a6f11043d47aae6d0c53b98ab690a4d9a18619093e03bff1c90bd8bde984","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-11-07T12:07:58Z","title_canon_sha256":"3d0f2986992a944b91b600754f75f71dfa7d95bc3eb2bece54077f670029b633"},"schema_version":"1.0","source":{"id":"0911.1410","kind":"arxiv","version":1}},"canonical_sha256":"d69d48b79a4fc2bf5a5f979071a2be0d81a93b346a6c9369b6ffffaaefae8349","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d69d48b79a4fc2bf5a5f979071a2be0d81a93b346a6c9369b6ffffaaefae8349","first_computed_at":"2026-05-18T02:10:58.407934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:58.407934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P13+OszMwhZNswswxnXqpUti1QQWkEzH8+5dJfR24PUqbMREsVMXeEl+hLmLLCgtpeBbDNKk1XjYWKA4bl9uAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:58.408746Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.1410","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a53d806c1c82f39f5983a6c978ca05f8785b9a7b1d7ce6e67b9aa7461967301","sha256:050f9bddaff6043d79bd8194953b3334ab8207d88a455303b917a8ff67fa43d1"],"state_sha256":"d0bb6f79c9cbacda41da9b7fb12c70bc915a68001480fbc202a905314dccb1f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k5YUMQI0IV3QUp2wZzGdaPS38bhULgZfvYb36Lu8sEPKugN/zyRnEhbKkfgVMVZ+hhKZng+2jhfkCyLPm9YCDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T16:00:06.940310Z","bundle_sha256":"ebf2a84b411a97cbca5e0d8cba4ee51aa1ecb372b95cff4bbdab26a560b14799"}}