{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:VBELBVKG2QVAW5OTUEHP2YCEYW","short_pith_number":"pith:VBELBVKG","canonical_record":{"source":{"id":"1303.4273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-18T14:55:41Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"b9906bb92ce26f1f852fe88e2e15207790c4c742d44ed3b7b84db8e49c362c36","abstract_canon_sha256":"bb9ac5d3a4f03b854dd19e441ee3523e4c2b9de0a2ba63f64a6504d980c7e424"},"schema_version":"1.0"},"canonical_sha256":"a848b0d546d42a0b75d3a10efd6044c5b2f0b8680d51b9176d9f0fcbf2ff2215","source":{"kind":"arxiv","id":"1303.4273","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4273","created_at":"2026-05-18T03:30:39Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4273v1","created_at":"2026-05-18T03:30:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4273","created_at":"2026-05-18T03:30:39Z"},{"alias_kind":"pith_short_12","alias_value":"VBELBVKG2QVA","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VBELBVKG2QVAW5OT","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VBELBVKG","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:VBELBVKG2QVAW5OTUEHP2YCEYW","target":"record","payload":{"canonical_record":{"source":{"id":"1303.4273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-18T14:55:41Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"b9906bb92ce26f1f852fe88e2e15207790c4c742d44ed3b7b84db8e49c362c36","abstract_canon_sha256":"bb9ac5d3a4f03b854dd19e441ee3523e4c2b9de0a2ba63f64a6504d980c7e424"},"schema_version":"1.0"},"canonical_sha256":"a848b0d546d42a0b75d3a10efd6044c5b2f0b8680d51b9176d9f0fcbf2ff2215","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:39.036096Z","signature_b64":"sme3pmGwZ6IUvkxmVav96EKelpeHmISlCvvPAg8WUX5XQkSGo0aSGBufz6pekkiEfh40Q56gRvbQ1UIW0usAAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a848b0d546d42a0b75d3a10efd6044c5b2f0b8680d51b9176d9f0fcbf2ff2215","last_reissued_at":"2026-05-18T03:30:39.035356Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:39.035356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.4273","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":"2026-05-18T03:30:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GPtuu4TK7ysf2zcCnK56zDXM/liCfmz3lXs4hy5Z+RDPjIuftI0mMr9S4ynAXVcPZCzojc3FIoI/jx2nFB4+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:00:58.668853Z"},"content_sha256":"0391ca24a2095b924035801df4f682a87a21fcaa027abed79a4709f00a158158","schema_version":"1.0","event_id":"sha256:0391ca24a2095b924035801df4f682a87a21fcaa027abed79a4709f00a158158"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:VBELBVKG2QVAW5OTUEHP2YCEYW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal least-squares estimators of the diffusion constant from a single Brownian trajectory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Carlos Mej\\'ia-Monasterio, David S. Dean, Denis Boyer, Gleb Oshanin","submitted_at":"2013-03-18T14:55:41Z","abstract_excerpt":"Modern developments in microscopy and image processing are revolutionising areas of physics, chemistry, and biology as nanoscale objects can be tracked with unprecedented accuracy. However, the price paid for having a direct visualisation of a single particle trajectory with high temporal and spatial resolution is a consequent lack of statistics. This naturally calls for reliable analytical tools which will allow one to extract the properties specific to a statistical ensemble from just a single trajectory. In this article we briefly survey different analytical methods currently used to determ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4273","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":"2026-05-18T03:30:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7wDfW9KkHwauyfUcYBio5jm5kxrnudAOtTCHMysWraR0hCFDbEFeuIiIw6NgVmeA0aaRV/GG1cD5k6aMBdXFBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:00:58.669595Z"},"content_sha256":"e6139cd64bc01427f3bf822806f9be652b8b48a5974a3194737f7abedc312951","schema_version":"1.0","event_id":"sha256:e6139cd64bc01427f3bf822806f9be652b8b48a5974a3194737f7abedc312951"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VBELBVKG2QVAW5OTUEHP2YCEYW/bundle.json","state_url":"https://pith.science/pith/VBELBVKG2QVAW5OTUEHP2YCEYW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VBELBVKG2QVAW5OTUEHP2YCEYW/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":"2026-05-25T17:00:58Z","links":{"resolver":"https://pith.science/pith/VBELBVKG2QVAW5OTUEHP2YCEYW","bundle":"https://pith.science/pith/VBELBVKG2QVAW5OTUEHP2YCEYW/bundle.json","state":"https://pith.science/pith/VBELBVKG2QVAW5OTUEHP2YCEYW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VBELBVKG2QVAW5OTUEHP2YCEYW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VBELBVKG2QVAW5OTUEHP2YCEYW","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":"bb9ac5d3a4f03b854dd19e441ee3523e4c2b9de0a2ba63f64a6504d980c7e424","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-18T14:55:41Z","title_canon_sha256":"b9906bb92ce26f1f852fe88e2e15207790c4c742d44ed3b7b84db8e49c362c36"},"schema_version":"1.0","source":{"id":"1303.4273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4273","created_at":"2026-05-18T03:30:39Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4273v1","created_at":"2026-05-18T03:30:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4273","created_at":"2026-05-18T03:30:39Z"},{"alias_kind":"pith_short_12","alias_value":"VBELBVKG2QVA","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VBELBVKG2QVAW5OT","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VBELBVKG","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:e6139cd64bc01427f3bf822806f9be652b8b48a5974a3194737f7abedc312951","target":"graph","created_at":"2026-05-18T03:30:39Z","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":"Modern developments in microscopy and image processing are revolutionising areas of physics, chemistry, and biology as nanoscale objects can be tracked with unprecedented accuracy. However, the price paid for having a direct visualisation of a single particle trajectory with high temporal and spatial resolution is a consequent lack of statistics. This naturally calls for reliable analytical tools which will allow one to extract the properties specific to a statistical ensemble from just a single trajectory. In this article we briefly survey different analytical methods currently used to determ","authors_text":"Carlos Mej\\'ia-Monasterio, David S. Dean, Denis Boyer, Gleb Oshanin","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-18T14:55:41Z","title":"Optimal least-squares estimators of the diffusion constant from a single Brownian trajectory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4273","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":"sha256:0391ca24a2095b924035801df4f682a87a21fcaa027abed79a4709f00a158158","target":"record","created_at":"2026-05-18T03:30:39Z","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":"bb9ac5d3a4f03b854dd19e441ee3523e4c2b9de0a2ba63f64a6504d980c7e424","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-18T14:55:41Z","title_canon_sha256":"b9906bb92ce26f1f852fe88e2e15207790c4c742d44ed3b7b84db8e49c362c36"},"schema_version":"1.0","source":{"id":"1303.4273","kind":"arxiv","version":1}},"canonical_sha256":"a848b0d546d42a0b75d3a10efd6044c5b2f0b8680d51b9176d9f0fcbf2ff2215","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a848b0d546d42a0b75d3a10efd6044c5b2f0b8680d51b9176d9f0fcbf2ff2215","first_computed_at":"2026-05-18T03:30:39.035356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:39.035356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sme3pmGwZ6IUvkxmVav96EKelpeHmISlCvvPAg8WUX5XQkSGo0aSGBufz6pekkiEfh40Q56gRvbQ1UIW0usAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:39.036096Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.4273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0391ca24a2095b924035801df4f682a87a21fcaa027abed79a4709f00a158158","sha256:e6139cd64bc01427f3bf822806f9be652b8b48a5974a3194737f7abedc312951"],"state_sha256":"bd06fc067b8055ad918af881b084a4ec214b26803f318f2f44cdfb9e555249aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N0fOV2tfnO0Xc05f+EsNIq+psp6LDLaapTkUHvdsQ+mcFQRS6wVpMBYnI97KZT86JdowGPxnuJNHRqJ+npv9CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:00:58.673692Z","bundle_sha256":"2be17094223fbd8b2030d12c5759f04b39b59b82aafbc8e844b2637681f66c8c"}}