{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ROJNW22IFG5ITBHVSQEVZ5DOFP","short_pith_number":"pith:ROJNW22I","canonical_record":{"source":{"id":"1602.00333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-01-31T22:20:50Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"title_canon_sha256":"438e28232ce34f41970b824198dc9f6802372900257f38625d0f232053a08661","abstract_canon_sha256":"769599c2fbb37deb6cc8d3d34e6c6024da14bd9f72e6c6c6e722c7a9fe66f970"},"schema_version":"1.0"},"canonical_sha256":"8b92db6b4829ba8984f594095cf46e2be8408b693225f547d5403abbc9c9ec3d","source":{"kind":"arxiv","id":"1602.00333","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00333","created_at":"2026-05-18T01:21:03Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00333v1","created_at":"2026-05-18T01:21:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00333","created_at":"2026-05-18T01:21:03Z"},{"alias_kind":"pith_short_12","alias_value":"ROJNW22IFG5I","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"ROJNW22IFG5ITBHV","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"ROJNW22I","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ROJNW22IFG5ITBHVSQEVZ5DOFP","target":"record","payload":{"canonical_record":{"source":{"id":"1602.00333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-01-31T22:20:50Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"title_canon_sha256":"438e28232ce34f41970b824198dc9f6802372900257f38625d0f232053a08661","abstract_canon_sha256":"769599c2fbb37deb6cc8d3d34e6c6024da14bd9f72e6c6c6e722c7a9fe66f970"},"schema_version":"1.0"},"canonical_sha256":"8b92db6b4829ba8984f594095cf46e2be8408b693225f547d5403abbc9c9ec3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:03.822753Z","signature_b64":"d/TI6UqBQrRO8zRlnmZoofoB4hiP+tS8O6Y3nEFNXy2AP7WZLRPYZGWtmZP3cWAlFjAGss6EsZbhZGF3uBXjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b92db6b4829ba8984f594095cf46e2be8408b693225f547d5403abbc9c9ec3d","last_reissued_at":"2026-05-18T01:21:03.822075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:03.822075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.00333","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":"2026-05-18T01:21:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UXzf9vIB7l4cgrh9uEJcSWQXGbFSXT1ltOpgemBRDqGpLVIRR6jpM38ZiKryaR9b98djejrGYCZ/PmSZN/CVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:51:12.544327Z"},"content_sha256":"85ef64b9e835628944d6e6101b6ee97227808c19496c54f8bbf8a7ef13432890","schema_version":"1.0","event_id":"sha256:85ef64b9e835628944d6e6101b6ee97227808c19496c54f8bbf8a7ef13432890"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ROJNW22IFG5ITBHVSQEVZ5DOFP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Geometric Mean Squared Displacement and the Stokes-Einstein Scaling in a Supercooled Liquid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Peter Harrowell, Shibu Saw","submitted_at":"2016-01-31T22:20:50Z","abstract_excerpt":"It is proposed that the rate of relaxation in a liquid is better described by the geometric mean of the van Hove distribution function, rather than the standard arithmetic mean used to obtain the mean squared displacement. The difference between the two means is shown to increase significantly with an increase in the non-Gaussian character of the displacement distribution. Preliminary results indicate that the geometric diffusion constant results in a substantial reduction of the deviation from Stokes-Einstein scaling."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00333","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":"2026-05-18T01:21:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5MoN8t9Cigl5sNtuIlDp3Q9S6Z6SFoL6IKRHcKzSY4uQCYg1AyLdxMoJ91Q8+f8A/cSNN8NxrtF2P8LW02yeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:51:12.544674Z"},"content_sha256":"958b97ac510553a09c8e9ebb304c0d27fa2b2ca35e1a8d6909682cfca221781d","schema_version":"1.0","event_id":"sha256:958b97ac510553a09c8e9ebb304c0d27fa2b2ca35e1a8d6909682cfca221781d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROJNW22IFG5ITBHVSQEVZ5DOFP/bundle.json","state_url":"https://pith.science/pith/ROJNW22IFG5ITBHVSQEVZ5DOFP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROJNW22IFG5ITBHVSQEVZ5DOFP/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":"2026-06-24T04:51:12Z","links":{"resolver":"https://pith.science/pith/ROJNW22IFG5ITBHVSQEVZ5DOFP","bundle":"https://pith.science/pith/ROJNW22IFG5ITBHVSQEVZ5DOFP/bundle.json","state":"https://pith.science/pith/ROJNW22IFG5ITBHVSQEVZ5DOFP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROJNW22IFG5ITBHVSQEVZ5DOFP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ROJNW22IFG5ITBHVSQEVZ5DOFP","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":"769599c2fbb37deb6cc8d3d34e6c6024da14bd9f72e6c6c6e722c7a9fe66f970","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-01-31T22:20:50Z","title_canon_sha256":"438e28232ce34f41970b824198dc9f6802372900257f38625d0f232053a08661"},"schema_version":"1.0","source":{"id":"1602.00333","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00333","created_at":"2026-05-18T01:21:03Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00333v1","created_at":"2026-05-18T01:21:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00333","created_at":"2026-05-18T01:21:03Z"},{"alias_kind":"pith_short_12","alias_value":"ROJNW22IFG5I","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"ROJNW22IFG5ITBHV","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"ROJNW22I","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:958b97ac510553a09c8e9ebb304c0d27fa2b2ca35e1a8d6909682cfca221781d","target":"graph","created_at":"2026-05-18T01:21:03Z","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":"It is proposed that the rate of relaxation in a liquid is better described by the geometric mean of the van Hove distribution function, rather than the standard arithmetic mean used to obtain the mean squared displacement. The difference between the two means is shown to increase significantly with an increase in the non-Gaussian character of the displacement distribution. Preliminary results indicate that the geometric diffusion constant results in a substantial reduction of the deviation from Stokes-Einstein scaling.","authors_text":"Peter Harrowell, Shibu Saw","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-01-31T22:20:50Z","title":"The Geometric Mean Squared Displacement and the Stokes-Einstein Scaling in a Supercooled Liquid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00333","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":"sha256:85ef64b9e835628944d6e6101b6ee97227808c19496c54f8bbf8a7ef13432890","target":"record","created_at":"2026-05-18T01:21:03Z","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":"769599c2fbb37deb6cc8d3d34e6c6024da14bd9f72e6c6c6e722c7a9fe66f970","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-01-31T22:20:50Z","title_canon_sha256":"438e28232ce34f41970b824198dc9f6802372900257f38625d0f232053a08661"},"schema_version":"1.0","source":{"id":"1602.00333","kind":"arxiv","version":1}},"canonical_sha256":"8b92db6b4829ba8984f594095cf46e2be8408b693225f547d5403abbc9c9ec3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b92db6b4829ba8984f594095cf46e2be8408b693225f547d5403abbc9c9ec3d","first_computed_at":"2026-05-18T01:21:03.822075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:03.822075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d/TI6UqBQrRO8zRlnmZoofoB4hiP+tS8O6Y3nEFNXy2AP7WZLRPYZGWtmZP3cWAlFjAGss6EsZbhZGF3uBXjCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:03.822753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.00333","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85ef64b9e835628944d6e6101b6ee97227808c19496c54f8bbf8a7ef13432890","sha256:958b97ac510553a09c8e9ebb304c0d27fa2b2ca35e1a8d6909682cfca221781d"],"state_sha256":"fc956158d484ea5654c8bc47c3d709fa79332aadce76aa57714c5624c63dd5b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1S99DOENW2PKvQRJnTdRADYUTAtfV8QuXuD5Ef0qrf659gGAgbCqX0GqN6kHW4TwtSFlLoEC01w8j/jzDjaKBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T04:51:12.546638Z","bundle_sha256":"8b3ff97d17e633d58eed327d67a74896522de4ab70be5a8d5d9779c2a13709a3"}}