{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:PN6PWVEVWOFWUZ22PMXQ7WLSV6","short_pith_number":"pith:PN6PWVEV","canonical_record":{"source":{"id":"1609.03913","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-09-13T16:20:17Z","cross_cats_sorted":[],"title_canon_sha256":"c8b7e5e05d64cd8f02f54732ba2b0055de25ae7b380bb5268d883be3b8150d6f","abstract_canon_sha256":"9f3c8adb6fa1c4575502eaa67c98a5bb7359112b216a151628a2d0b7d865bc3a"},"schema_version":"1.0"},"canonical_sha256":"7b7cfb5495b38b6a675a7b2f0fd972afb132925ec11c5986f84210b3362c9afb","source":{"kind":"arxiv","id":"1609.03913","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03913","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03913v1","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03913","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"pith_short_12","alias_value":"PN6PWVEVWOFW","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PN6PWVEVWOFWUZ22","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PN6PWVEV","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:PN6PWVEVWOFWUZ22PMXQ7WLSV6","target":"record","payload":{"canonical_record":{"source":{"id":"1609.03913","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-09-13T16:20:17Z","cross_cats_sorted":[],"title_canon_sha256":"c8b7e5e05d64cd8f02f54732ba2b0055de25ae7b380bb5268d883be3b8150d6f","abstract_canon_sha256":"9f3c8adb6fa1c4575502eaa67c98a5bb7359112b216a151628a2d0b7d865bc3a"},"schema_version":"1.0"},"canonical_sha256":"7b7cfb5495b38b6a675a7b2f0fd972afb132925ec11c5986f84210b3362c9afb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:02.237151Z","signature_b64":"XLAO1DHAtNnTFVRik/dnA/B+7XoVOrcoidbeD+T7dKv/RHPgbnWHAaKibmSTHUHWZjHiuzMIxbno8IRV5/AOAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b7cfb5495b38b6a675a7b2f0fd972afb132925ec11c5986f84210b3362c9afb","last_reissued_at":"2026-05-18T00:43:02.236497Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:02.236497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.03913","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":"2026-05-18T00:43:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q/1Okid6qJSDWg+FlwzMv78NyAfhvTYqmsMB5HD/Gndt6WHR42CzFyh0PGoIhRIir56ADFqzUFcxwJurOew7Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T06:57:43.299443Z"},"content_sha256":"b575b8d9e6b983a4e5404941b6486eb87298d4dfa1a80818364565a9cbc10fb1","schema_version":"1.0","event_id":"sha256:b575b8d9e6b983a4e5404941b6486eb87298d4dfa1a80818364565a9cbc10fb1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:PN6PWVEVWOFWUZ22PMXQ7WLSV6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-similar finite-time singularity formation in degenerate parabolic equations arising in thin-film flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Dmitri Tseluiko, Marco A Fontelos, Michael C Dallaston, Serafim Kalliadasis, Zhong Zheng","submitted_at":"2016-09-13T16:20:17Z","abstract_excerpt":"A thin liquid film coating a planar horizontal substrate may be unstable to perturbations in the film thickness due to unfavourable intermolecular interactions between the liquid and the substrate, which may lead to finite-time rupture. The self-similar nature of the rupture has been studied before by utilizing the standard lubrication approximation along with the Derjaguin (or disjoining) pressure formalism used to account for the intermolecular interactions, and a particular form of the disjoining pressure with exponent $n=3$ has been used, namely, $\\Pi(h)\\propto -1/h^{3}$, where $h$ is the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03913","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":"2026-05-18T00:43:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HD7DzhvxQXKG09jpiLpYOGzGqphldfKFfPP9M0hI4SmNG15FJM1sSy2vCOQjVT1fKhpH4iwhC0ct6Zy+Jq8fDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T06:57:43.299794Z"},"content_sha256":"c79e37f3e0c8ba4e6f9066692ec5cd892a2d49256c42effad881c339dde106d6","schema_version":"1.0","event_id":"sha256:c79e37f3e0c8ba4e6f9066692ec5cd892a2d49256c42effad881c339dde106d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PN6PWVEVWOFWUZ22PMXQ7WLSV6/bundle.json","state_url":"https://pith.science/pith/PN6PWVEVWOFWUZ22PMXQ7WLSV6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PN6PWVEVWOFWUZ22PMXQ7WLSV6/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":"2026-05-21T06:57:43Z","links":{"resolver":"https://pith.science/pith/PN6PWVEVWOFWUZ22PMXQ7WLSV6","bundle":"https://pith.science/pith/PN6PWVEVWOFWUZ22PMXQ7WLSV6/bundle.json","state":"https://pith.science/pith/PN6PWVEVWOFWUZ22PMXQ7WLSV6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PN6PWVEVWOFWUZ22PMXQ7WLSV6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PN6PWVEVWOFWUZ22PMXQ7WLSV6","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":"9f3c8adb6fa1c4575502eaa67c98a5bb7359112b216a151628a2d0b7d865bc3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-09-13T16:20:17Z","title_canon_sha256":"c8b7e5e05d64cd8f02f54732ba2b0055de25ae7b380bb5268d883be3b8150d6f"},"schema_version":"1.0","source":{"id":"1609.03913","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03913","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03913v1","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03913","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"pith_short_12","alias_value":"PN6PWVEVWOFW","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PN6PWVEVWOFWUZ22","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PN6PWVEV","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:c79e37f3e0c8ba4e6f9066692ec5cd892a2d49256c42effad881c339dde106d6","target":"graph","created_at":"2026-05-18T00:43:02Z","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":"A thin liquid film coating a planar horizontal substrate may be unstable to perturbations in the film thickness due to unfavourable intermolecular interactions between the liquid and the substrate, which may lead to finite-time rupture. The self-similar nature of the rupture has been studied before by utilizing the standard lubrication approximation along with the Derjaguin (or disjoining) pressure formalism used to account for the intermolecular interactions, and a particular form of the disjoining pressure with exponent $n=3$ has been used, namely, $\\Pi(h)\\propto -1/h^{3}$, where $h$ is the ","authors_text":"Dmitri Tseluiko, Marco A Fontelos, Michael C Dallaston, Serafim Kalliadasis, Zhong Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-09-13T16:20:17Z","title":"Self-similar finite-time singularity formation in degenerate parabolic equations arising in thin-film flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03913","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:b575b8d9e6b983a4e5404941b6486eb87298d4dfa1a80818364565a9cbc10fb1","target":"record","created_at":"2026-05-18T00:43:02Z","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":"9f3c8adb6fa1c4575502eaa67c98a5bb7359112b216a151628a2d0b7d865bc3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-09-13T16:20:17Z","title_canon_sha256":"c8b7e5e05d64cd8f02f54732ba2b0055de25ae7b380bb5268d883be3b8150d6f"},"schema_version":"1.0","source":{"id":"1609.03913","kind":"arxiv","version":1}},"canonical_sha256":"7b7cfb5495b38b6a675a7b2f0fd972afb132925ec11c5986f84210b3362c9afb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b7cfb5495b38b6a675a7b2f0fd972afb132925ec11c5986f84210b3362c9afb","first_computed_at":"2026-05-18T00:43:02.236497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:02.236497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XLAO1DHAtNnTFVRik/dnA/B+7XoVOrcoidbeD+T7dKv/RHPgbnWHAaKibmSTHUHWZjHiuzMIxbno8IRV5/AOAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:02.237151Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03913","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b575b8d9e6b983a4e5404941b6486eb87298d4dfa1a80818364565a9cbc10fb1","sha256:c79e37f3e0c8ba4e6f9066692ec5cd892a2d49256c42effad881c339dde106d6"],"state_sha256":"489e893c4b7e2d78476b52d79d8614ee5d58f03e3548ee12fe0c7b6bbfdfb797"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kexxcLfC8F0hzX0wgrhVBIoLD3QlPO/DsFCngVvBKxMHM6wzl51HCAwWb2VNgbFot6/YXwq+AC98pWISflscBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T06:57:43.301926Z","bundle_sha256":"7573d32e101bf4fa5ffab573fff16cf5da76a43e34a74d6c7e89abed0d005b43"}}