{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:PI5TBM5LA4XKKYZF6Q7OCVSLB7","short_pith_number":"pith:PI5TBM5L","canonical_record":{"source":{"id":"0910.0289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-10-01T23:05:43Z","cross_cats_sorted":[],"title_canon_sha256":"e786c258d86bda0657ca697cb3be897384ead8831630833ff5023eed5a1d7cdf","abstract_canon_sha256":"422b5c8ab0cb5bc450a5fb274b2cb45040b37804457cdafe66b6a565bfff9426"},"schema_version":"1.0"},"canonical_sha256":"7a3b30b3ab072ea56325f43ee1564b0ff79a10ab317faa4e617370eda453fbce","source":{"kind":"arxiv","id":"0910.0289","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.0289","created_at":"2026-05-18T02:11:35Z"},{"alias_kind":"arxiv_version","alias_value":"0910.0289v1","created_at":"2026-05-18T02:11:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.0289","created_at":"2026-05-18T02:11:35Z"},{"alias_kind":"pith_short_12","alias_value":"PI5TBM5LA4XK","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PI5TBM5LA4XKKYZF","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PI5TBM5L","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:PI5TBM5LA4XKKYZF6Q7OCVSLB7","target":"record","payload":{"canonical_record":{"source":{"id":"0910.0289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-10-01T23:05:43Z","cross_cats_sorted":[],"title_canon_sha256":"e786c258d86bda0657ca697cb3be897384ead8831630833ff5023eed5a1d7cdf","abstract_canon_sha256":"422b5c8ab0cb5bc450a5fb274b2cb45040b37804457cdafe66b6a565bfff9426"},"schema_version":"1.0"},"canonical_sha256":"7a3b30b3ab072ea56325f43ee1564b0ff79a10ab317faa4e617370eda453fbce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:35.114493Z","signature_b64":"6+DDAGF+dzWG7NwzmvKF32gcaPG5quk7SDVplrTmIAd9Rg/aOp2GxdaQ47UCX52wkrq/faR4dcfzNw//HIPaDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a3b30b3ab072ea56325f43ee1564b0ff79a10ab317faa4e617370eda453fbce","last_reissued_at":"2026-05-18T02:11:35.113797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:35.113797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.0289","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":"2026-05-18T02:11:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TeAcPXf/95rDodVuVWHEpUBINPAFWU9WFAVYMJpkWUCblOh8Mr2Mqio4BCFqvEzO2etU/l3jx896vS+o+Oh+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T17:04:40.382803Z"},"content_sha256":"cebc5eb8c979480075fbc0cb754f1d6672edff7f65fae61de9a5e650b45378d9","schema_version":"1.0","event_id":"sha256:cebc5eb8c979480075fbc0cb754f1d6672edff7f65fae61de9a5e650b45378d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:PI5TBM5LA4XKKYZF6Q7OCVSLB7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Post-Tanner spreading of nematic droplets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"A.-M. Cazabat, G. Oshanin, S. Mechkov","submitted_at":"2009-10-01T23:05:43Z","abstract_excerpt":"The quasistationary spreading of a circular liquid drop on a solid substrate typically obeys the so-called Tanner law, with the instantaneous base radius R(t) growing with time as R ~ t^{1/10} -- an effect of the dominant role of capillary forces for a small-sized droplet. However, for droplets of nematic liquid crystals, a faster spreading law sets in at long times, so that R ~ t^alpha with alpha significantly larger than the Tanner exponent 1/10. In the framework of the thin film model (or lubrication approximation), we describe this \"acceleration\" as a transition to a qualitatively differen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.0289","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":"2026-05-18T02:11:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bmqzUyKA4ZKgc4ddmP22/7KdLMto5wCWh+k2RCsb80V426HxE8I94/HuqQeekjBMJY1KydP1Vcqf+yGkhYfPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T17:04:40.383162Z"},"content_sha256":"b602eb2bebdba8d397077367f8540d063977044f0ddbcb973834852c8e57e969","schema_version":"1.0","event_id":"sha256:b602eb2bebdba8d397077367f8540d063977044f0ddbcb973834852c8e57e969"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PI5TBM5LA4XKKYZF6Q7OCVSLB7/bundle.json","state_url":"https://pith.science/pith/PI5TBM5LA4XKKYZF6Q7OCVSLB7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PI5TBM5LA4XKKYZF6Q7OCVSLB7/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":"2026-06-30T17:04:40Z","links":{"resolver":"https://pith.science/pith/PI5TBM5LA4XKKYZF6Q7OCVSLB7","bundle":"https://pith.science/pith/PI5TBM5LA4XKKYZF6Q7OCVSLB7/bundle.json","state":"https://pith.science/pith/PI5TBM5LA4XKKYZF6Q7OCVSLB7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PI5TBM5LA4XKKYZF6Q7OCVSLB7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:PI5TBM5LA4XKKYZF6Q7OCVSLB7","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":"422b5c8ab0cb5bc450a5fb274b2cb45040b37804457cdafe66b6a565bfff9426","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-10-01T23:05:43Z","title_canon_sha256":"e786c258d86bda0657ca697cb3be897384ead8831630833ff5023eed5a1d7cdf"},"schema_version":"1.0","source":{"id":"0910.0289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.0289","created_at":"2026-05-18T02:11:35Z"},{"alias_kind":"arxiv_version","alias_value":"0910.0289v1","created_at":"2026-05-18T02:11:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.0289","created_at":"2026-05-18T02:11:35Z"},{"alias_kind":"pith_short_12","alias_value":"PI5TBM5LA4XK","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PI5TBM5LA4XKKYZF","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PI5TBM5L","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:b602eb2bebdba8d397077367f8540d063977044f0ddbcb973834852c8e57e969","target":"graph","created_at":"2026-05-18T02:11:35Z","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":"The quasistationary spreading of a circular liquid drop on a solid substrate typically obeys the so-called Tanner law, with the instantaneous base radius R(t) growing with time as R ~ t^{1/10} -- an effect of the dominant role of capillary forces for a small-sized droplet. However, for droplets of nematic liquid crystals, a faster spreading law sets in at long times, so that R ~ t^alpha with alpha significantly larger than the Tanner exponent 1/10. In the framework of the thin film model (or lubrication approximation), we describe this \"acceleration\" as a transition to a qualitatively differen","authors_text":"A.-M. Cazabat, G. Oshanin, S. Mechkov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-10-01T23:05:43Z","title":"Post-Tanner spreading of nematic droplets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.0289","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:cebc5eb8c979480075fbc0cb754f1d6672edff7f65fae61de9a5e650b45378d9","target":"record","created_at":"2026-05-18T02:11:35Z","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":"422b5c8ab0cb5bc450a5fb274b2cb45040b37804457cdafe66b6a565bfff9426","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-10-01T23:05:43Z","title_canon_sha256":"e786c258d86bda0657ca697cb3be897384ead8831630833ff5023eed5a1d7cdf"},"schema_version":"1.0","source":{"id":"0910.0289","kind":"arxiv","version":1}},"canonical_sha256":"7a3b30b3ab072ea56325f43ee1564b0ff79a10ab317faa4e617370eda453fbce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a3b30b3ab072ea56325f43ee1564b0ff79a10ab317faa4e617370eda453fbce","first_computed_at":"2026-05-18T02:11:35.113797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:35.113797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6+DDAGF+dzWG7NwzmvKF32gcaPG5quk7SDVplrTmIAd9Rg/aOp2GxdaQ47UCX52wkrq/faR4dcfzNw//HIPaDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:35.114493Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.0289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cebc5eb8c979480075fbc0cb754f1d6672edff7f65fae61de9a5e650b45378d9","sha256:b602eb2bebdba8d397077367f8540d063977044f0ddbcb973834852c8e57e969"],"state_sha256":"947bf27a6e6ea6e9847e6b6c1a444b8cf1ded046a7037effdd493fa5d615964c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m3lCymC73ze8zz1OZYmyuR/0PRluZK/9jSJY3bDMWUcYw9u7voZEzlmyEnjqe2ENgKspla20LR8nKcdJcm4EDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T17:04:40.385003Z","bundle_sha256":"98322565e74aa59a3e5b9db4f04ca824e9d1c73160c498847b71583e8055b780"}}