{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:4DBX3JS7CTFKHBR54BQUMMBPVD","short_pith_number":"pith:4DBX3JS7","canonical_record":{"source":{"id":"2602.10120","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-01-23T22:36:18Z","cross_cats_sorted":["cs.NA","math-ph","math.MP","math.NA"],"title_canon_sha256":"d3d94c017f66244ab67fefa30c845983f9bb24de7c4c5d6637e164747eacec90","abstract_canon_sha256":"e8739475f557cdc467738b64d2e972614758298604faaca7d1aeac8508d33095"},"schema_version":"1.0"},"canonical_sha256":"e0c37da65f14caa3863de06146302fa8e7adeed44a631bb730a8ed01eeda792c","source":{"kind":"arxiv","id":"2602.10120","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.10120","created_at":"2026-06-02T01:03:42Z"},{"alias_kind":"arxiv_version","alias_value":"2602.10120v2","created_at":"2026-06-02T01:03:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.10120","created_at":"2026-06-02T01:03:42Z"},{"alias_kind":"pith_short_12","alias_value":"4DBX3JS7CTFK","created_at":"2026-06-02T01:03:42Z"},{"alias_kind":"pith_short_16","alias_value":"4DBX3JS7CTFKHBR5","created_at":"2026-06-02T01:03:42Z"},{"alias_kind":"pith_short_8","alias_value":"4DBX3JS7","created_at":"2026-06-02T01:03:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:4DBX3JS7CTFKHBR54BQUMMBPVD","target":"record","payload":{"canonical_record":{"source":{"id":"2602.10120","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-01-23T22:36:18Z","cross_cats_sorted":["cs.NA","math-ph","math.MP","math.NA"],"title_canon_sha256":"d3d94c017f66244ab67fefa30c845983f9bb24de7c4c5d6637e164747eacec90","abstract_canon_sha256":"e8739475f557cdc467738b64d2e972614758298604faaca7d1aeac8508d33095"},"schema_version":"1.0"},"canonical_sha256":"e0c37da65f14caa3863de06146302fa8e7adeed44a631bb730a8ed01eeda792c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:03:42.736235Z","signature_b64":"zkDwp5lDspojZbQyu4wfzyikY7zBDEsmfdDAfN0HQWaei3H+jUOTwwQia2BIags5+fanHqo9OB8vL6dsz+GtDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0c37da65f14caa3863de06146302fa8e7adeed44a631bb730a8ed01eeda792c","last_reissued_at":"2026-06-02T01:03:42.735795Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:03:42.735795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.10120","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-02T01:03:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZnUgPLEpypJVEZhbWrig8tNTXme8x4f9F9tRQig5gJHFH232YPp2pInKqTtW1lDo6dK+4zBpu/Rgw5TLqQjjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:28:18.914033Z"},"content_sha256":"b3774248226caea868719dedff34b28c74df8afd1fc369a47e8be1f5f55e08c3","schema_version":"1.0","event_id":"sha256:b3774248226caea868719dedff34b28c74df8afd1fc369a47e8be1f5f55e08c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:4DBX3JS7CTFKHBR54BQUMMBPVD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comparison of the potential energy for different equilibrium configurations of symmetric and asymmetric floating drops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math-ph","math.MP","math.NA"],"primary_cat":"physics.flu-dyn","authors_text":"Mason Mault, Ray Treinen","submitted_at":"2026-01-23T22:36:18Z","abstract_excerpt":"We provide a numerical method for computing solutions to a free boundary problem arising from the equilibrium state of a floating drop. This numerical method is based on a Newton's method for the underlying nonlinear boundary value problems, and at each iterative step a Chebyshev spectral collocation method is employed. The problems considered here are those that can be described by using generating curves, and include problems in $\\mathbb{R}^2$ and $\\mathbb{R}^3$.\n  The resulting nine-dimensional space of physical parameters is explored, and examples are given that highlight the potential ene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.10120","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.10120/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-02T01:03:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"glLQ9WHQ2C3+r6cgMGarXV0w+qXISP3LD5+hv5eJ3G6h3L22qM8yTD7SuQeHlY/TPXldPRekJk/+iTkXCSSTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:28:18.914580Z"},"content_sha256":"b2276fc01227d426f413602cff54aa9d400222c6d99197d1ee29e8aab6a42f9f","schema_version":"1.0","event_id":"sha256:b2276fc01227d426f413602cff54aa9d400222c6d99197d1ee29e8aab6a42f9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4DBX3JS7CTFKHBR54BQUMMBPVD/bundle.json","state_url":"https://pith.science/pith/4DBX3JS7CTFKHBR54BQUMMBPVD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4DBX3JS7CTFKHBR54BQUMMBPVD/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":"2026-08-03T22:28:18Z","links":{"resolver":"https://pith.science/pith/4DBX3JS7CTFKHBR54BQUMMBPVD","bundle":"https://pith.science/pith/4DBX3JS7CTFKHBR54BQUMMBPVD/bundle.json","state":"https://pith.science/pith/4DBX3JS7CTFKHBR54BQUMMBPVD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4DBX3JS7CTFKHBR54BQUMMBPVD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4DBX3JS7CTFKHBR54BQUMMBPVD","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":"e8739475f557cdc467738b64d2e972614758298604faaca7d1aeac8508d33095","cross_cats_sorted":["cs.NA","math-ph","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-01-23T22:36:18Z","title_canon_sha256":"d3d94c017f66244ab67fefa30c845983f9bb24de7c4c5d6637e164747eacec90"},"schema_version":"1.0","source":{"id":"2602.10120","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.10120","created_at":"2026-06-02T01:03:42Z"},{"alias_kind":"arxiv_version","alias_value":"2602.10120v2","created_at":"2026-06-02T01:03:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.10120","created_at":"2026-06-02T01:03:42Z"},{"alias_kind":"pith_short_12","alias_value":"4DBX3JS7CTFK","created_at":"2026-06-02T01:03:42Z"},{"alias_kind":"pith_short_16","alias_value":"4DBX3JS7CTFKHBR5","created_at":"2026-06-02T01:03:42Z"},{"alias_kind":"pith_short_8","alias_value":"4DBX3JS7","created_at":"2026-06-02T01:03:42Z"}],"graph_snapshots":[{"event_id":"sha256:b2276fc01227d426f413602cff54aa9d400222c6d99197d1ee29e8aab6a42f9f","target":"graph","created_at":"2026-06-02T01:03:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2602.10120/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a numerical method for computing solutions to a free boundary problem arising from the equilibrium state of a floating drop. This numerical method is based on a Newton's method for the underlying nonlinear boundary value problems, and at each iterative step a Chebyshev spectral collocation method is employed. The problems considered here are those that can be described by using generating curves, and include problems in $\\mathbb{R}^2$ and $\\mathbb{R}^3$.\n  The resulting nine-dimensional space of physical parameters is explored, and examples are given that highlight the potential ene","authors_text":"Mason Mault, Ray Treinen","cross_cats":["cs.NA","math-ph","math.MP","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-01-23T22:36:18Z","title":"Comparison of the potential energy for different equilibrium configurations of symmetric and asymmetric floating drops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.10120","kind":"arxiv","version":2},"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:b3774248226caea868719dedff34b28c74df8afd1fc369a47e8be1f5f55e08c3","target":"record","created_at":"2026-06-02T01:03:42Z","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":"e8739475f557cdc467738b64d2e972614758298604faaca7d1aeac8508d33095","cross_cats_sorted":["cs.NA","math-ph","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-01-23T22:36:18Z","title_canon_sha256":"d3d94c017f66244ab67fefa30c845983f9bb24de7c4c5d6637e164747eacec90"},"schema_version":"1.0","source":{"id":"2602.10120","kind":"arxiv","version":2}},"canonical_sha256":"e0c37da65f14caa3863de06146302fa8e7adeed44a631bb730a8ed01eeda792c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0c37da65f14caa3863de06146302fa8e7adeed44a631bb730a8ed01eeda792c","first_computed_at":"2026-06-02T01:03:42.735795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:03:42.735795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zkDwp5lDspojZbQyu4wfzyikY7zBDEsmfdDAfN0HQWaei3H+jUOTwwQia2BIags5+fanHqo9OB8vL6dsz+GtDA==","signature_status":"signed_v1","signed_at":"2026-06-02T01:03:42.736235Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.10120","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3774248226caea868719dedff34b28c74df8afd1fc369a47e8be1f5f55e08c3","sha256:b2276fc01227d426f413602cff54aa9d400222c6d99197d1ee29e8aab6a42f9f"],"state_sha256":"391348c1296eb95b8cd788edefaba1cdb8f51d53d89bed385e8d0fdd158e2027"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"StRt25fM9saglVeVZI+M3GhPxcYZoVHSbhre00/qzO3koEg3joypZ4ebkR/h6n9Icb25PM+ZRcIqFe1Nkr+hAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T22:28:18.919158Z","bundle_sha256":"4ea051b7c3de77c3aae481093acdf53d71cc3fafbcde4725184c58750f7f70ac"}}