{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:XWVNTV5HFWMQIL5GJDP3WWLMN5","short_pith_number":"pith:XWVNTV5H","canonical_record":{"source":{"id":"physics/9903017","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.flu-dyn","submitted_at":"1999-03-10T09:38:35Z","cross_cats_sorted":[],"title_canon_sha256":"0ab13c3b668e13a758582f525d3dd354f57ad3406782bf770ed46bbd31f144a5","abstract_canon_sha256":"6be8fc377e0e321cfaeea606569bf7c825770b2bbd100046a7ca9e8b8e426e4f"},"schema_version":"1.0"},"canonical_sha256":"bdaad9d7a72d99042fa648dfbb596c6f43be88a41dcac3186f2d9653788fb2a5","source":{"kind":"arxiv","id":"physics/9903017","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9903017","created_at":"2026-05-18T00:44:20Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9903017v1","created_at":"2026-05-18T00:44:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9903017","created_at":"2026-05-18T00:44:20Z"},{"alias_kind":"pith_short_12","alias_value":"XWVNTV5HFWMQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"XWVNTV5HFWMQIL5G","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"XWVNTV5H","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:XWVNTV5HFWMQIL5GJDP3WWLMN5","target":"record","payload":{"canonical_record":{"source":{"id":"physics/9903017","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.flu-dyn","submitted_at":"1999-03-10T09:38:35Z","cross_cats_sorted":[],"title_canon_sha256":"0ab13c3b668e13a758582f525d3dd354f57ad3406782bf770ed46bbd31f144a5","abstract_canon_sha256":"6be8fc377e0e321cfaeea606569bf7c825770b2bbd100046a7ca9e8b8e426e4f"},"schema_version":"1.0"},"canonical_sha256":"bdaad9d7a72d99042fa648dfbb596c6f43be88a41dcac3186f2d9653788fb2a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:20.038272Z","signature_b64":"fitWliv7Bu0KJNO8+OmpY3PBIqQ/hJgEF6mmFl8JMr3kzyH1oyAEbJY7t/XBKm7XUxBTv+ool5t6uGspw6cEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdaad9d7a72d99042fa648dfbb596c6f43be88a41dcac3186f2d9653788fb2a5","last_reissued_at":"2026-05-18T00:44:20.037912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:20.037912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/9903017","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":"2026-05-18T00:44:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QY/XYgT3KpWgqNMxuDJK9f3p6cFNcHtpSZoAEiq5WAZhSJD3XOgGlu2MYdKBQDW0aCiek3m4X3IjKI/mFKCiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:00:24.571840Z"},"content_sha256":"491371ab3a26a35d9e4cad1b3dad09b8667a43b0faabc94b3a5fe7bbe9e3c991","schema_version":"1.0","event_id":"sha256:491371ab3a26a35d9e4cad1b3dad09b8667a43b0faabc94b3a5fe7bbe9e3c991"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:XWVNTV5HFWMQIL5GJDP3WWLMN5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coalescence of Liquid Drops","license":"","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Howard A. Stone, Jens Eggers, John R. Lister","submitted_at":"1999-03-10T09:38:35Z","abstract_excerpt":"When two drops of radius $R$ touch, surface tension drives an initially singular motion which joins them into a bigger drop with smaller surface area. This motion is always viscously dominated at early times. We focus on the early-time behavior of the radius $\\rmn$ of the small bridge between the two drops. The flow is driven by a highly curved meniscus of length $2\\pi \\rmn$ and width $\\Delta\\ll\\rmn$ around the bridge, from which we conclude that the leading-order problem is asymptotically equivalent to its two-dimensional counterpart. An exact two-dimensional solution for the case of inviscid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9903017","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":"2026-05-18T00:44:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DGKMM7bcqw1qj2Wd8ALCBKL4eWT/zlJymAA0G+sw4wEp+QgMZ4fsijoWW54Ewu6ac0+nMzN4aotxvnPVtb4LDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:00:24.572534Z"},"content_sha256":"536b966153cd3adfcdc898546d4e6c7a97eda1796e5b4a1b9e7256e02f6a0e1f","schema_version":"1.0","event_id":"sha256:536b966153cd3adfcdc898546d4e6c7a97eda1796e5b4a1b9e7256e02f6a0e1f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XWVNTV5HFWMQIL5GJDP3WWLMN5/bundle.json","state_url":"https://pith.science/pith/XWVNTV5HFWMQIL5GJDP3WWLMN5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XWVNTV5HFWMQIL5GJDP3WWLMN5/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":"2026-06-09T10:00:24Z","links":{"resolver":"https://pith.science/pith/XWVNTV5HFWMQIL5GJDP3WWLMN5","bundle":"https://pith.science/pith/XWVNTV5HFWMQIL5GJDP3WWLMN5/bundle.json","state":"https://pith.science/pith/XWVNTV5HFWMQIL5GJDP3WWLMN5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XWVNTV5HFWMQIL5GJDP3WWLMN5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:XWVNTV5HFWMQIL5GJDP3WWLMN5","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":"6be8fc377e0e321cfaeea606569bf7c825770b2bbd100046a7ca9e8b8e426e4f","cross_cats_sorted":[],"license":"","primary_cat":"physics.flu-dyn","submitted_at":"1999-03-10T09:38:35Z","title_canon_sha256":"0ab13c3b668e13a758582f525d3dd354f57ad3406782bf770ed46bbd31f144a5"},"schema_version":"1.0","source":{"id":"physics/9903017","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9903017","created_at":"2026-05-18T00:44:20Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9903017v1","created_at":"2026-05-18T00:44:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9903017","created_at":"2026-05-18T00:44:20Z"},{"alias_kind":"pith_short_12","alias_value":"XWVNTV5HFWMQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"XWVNTV5HFWMQIL5G","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"XWVNTV5H","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:536b966153cd3adfcdc898546d4e6c7a97eda1796e5b4a1b9e7256e02f6a0e1f","target":"graph","created_at":"2026-05-18T00:44:20Z","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":"When two drops of radius $R$ touch, surface tension drives an initially singular motion which joins them into a bigger drop with smaller surface area. This motion is always viscously dominated at early times. We focus on the early-time behavior of the radius $\\rmn$ of the small bridge between the two drops. The flow is driven by a highly curved meniscus of length $2\\pi \\rmn$ and width $\\Delta\\ll\\rmn$ around the bridge, from which we conclude that the leading-order problem is asymptotically equivalent to its two-dimensional counterpart. An exact two-dimensional solution for the case of inviscid","authors_text":"Howard A. Stone, Jens Eggers, John R. Lister","cross_cats":[],"headline":"","license":"","primary_cat":"physics.flu-dyn","submitted_at":"1999-03-10T09:38:35Z","title":"Coalescence of Liquid Drops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9903017","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":"sha256:491371ab3a26a35d9e4cad1b3dad09b8667a43b0faabc94b3a5fe7bbe9e3c991","target":"record","created_at":"2026-05-18T00:44:20Z","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":"6be8fc377e0e321cfaeea606569bf7c825770b2bbd100046a7ca9e8b8e426e4f","cross_cats_sorted":[],"license":"","primary_cat":"physics.flu-dyn","submitted_at":"1999-03-10T09:38:35Z","title_canon_sha256":"0ab13c3b668e13a758582f525d3dd354f57ad3406782bf770ed46bbd31f144a5"},"schema_version":"1.0","source":{"id":"physics/9903017","kind":"arxiv","version":1}},"canonical_sha256":"bdaad9d7a72d99042fa648dfbb596c6f43be88a41dcac3186f2d9653788fb2a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdaad9d7a72d99042fa648dfbb596c6f43be88a41dcac3186f2d9653788fb2a5","first_computed_at":"2026-05-18T00:44:20.037912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:20.037912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fitWliv7Bu0KJNO8+OmpY3PBIqQ/hJgEF6mmFl8JMr3kzyH1oyAEbJY7t/XBKm7XUxBTv+ool5t6uGspw6cEDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:20.038272Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/9903017","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:491371ab3a26a35d9e4cad1b3dad09b8667a43b0faabc94b3a5fe7bbe9e3c991","sha256:536b966153cd3adfcdc898546d4e6c7a97eda1796e5b4a1b9e7256e02f6a0e1f"],"state_sha256":"ed6c659e2409ae3de60fcab0c74a0063cde3ed9a7dfc735256eadd18b43a8927"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rcMxF2rzmyAG09slw4XZQPGoYeooBnj62MDhS/KtWh7oQdhM3sqDxQUpY5TWZNOBnc0QQvr7Qs4y1FlhaX/OCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T10:00:24.576345Z","bundle_sha256":"6d60fb968ada5f319d4223f401f1588df46e60b795d333aa4d09dcb296a7baf2"}}