{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2K3DHZRVE4X7IRS2ZXHLF4JKPK","short_pith_number":"pith:2K3DHZRV","canonical_record":{"source":{"id":"1405.1760","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-05-07T21:47:17Z","cross_cats_sorted":["math-ph","math.AP","math.DG","math.MP"],"title_canon_sha256":"b81513f16955ea949bacd2eaf0b67ff06683c47981fc8e51560e6955ac02ca20","abstract_canon_sha256":"5d701cdf75d1aca6a381d1a0535494312b5347827d2aa7b74d5dd0fe3c4e5ba7"},"schema_version":"1.0"},"canonical_sha256":"d2b633e635272ff4465acdceb2f12a7aa910af881e003b574bb22e73a300914b","source":{"kind":"arxiv","id":"1405.1760","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1760","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1760v1","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1760","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"pith_short_12","alias_value":"2K3DHZRVE4X7","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2K3DHZRVE4X7IRS2","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2K3DHZRV","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2K3DHZRVE4X7IRS2ZXHLF4JKPK","target":"record","payload":{"canonical_record":{"source":{"id":"1405.1760","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-05-07T21:47:17Z","cross_cats_sorted":["math-ph","math.AP","math.DG","math.MP"],"title_canon_sha256":"b81513f16955ea949bacd2eaf0b67ff06683c47981fc8e51560e6955ac02ca20","abstract_canon_sha256":"5d701cdf75d1aca6a381d1a0535494312b5347827d2aa7b74d5dd0fe3c4e5ba7"},"schema_version":"1.0"},"canonical_sha256":"d2b633e635272ff4465acdceb2f12a7aa910af881e003b574bb22e73a300914b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:18.219221Z","signature_b64":"Afzfj38HCpibB9uK5m2Zx1UT9Wg2w+dzlKhE/pMMXz2vdrEDHZ4FrzxqXyW+WtUhekR9lrC5IwOA0ou4k7lJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2b633e635272ff4465acdceb2f12a7aa910af881e003b574bb22e73a300914b","last_reissued_at":"2026-05-18T02:40:18.218716Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:18.218716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.1760","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":"2026-05-18T02:40:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7UWZ/VwbqTv/MS67jyia4L/otIXzaE3SlioTWVSkmG6IvZEIrPpMfhWD3QGNFF6JoySECGrTaDHmRP9bXFopDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:43:46.861406Z"},"content_sha256":"e67e580d5ff44a2cc698d2727f0976336b758f164d6e8ce20306642ed16adc39","schema_version":"1.0","event_id":"sha256:e67e580d5ff44a2cc698d2727f0976336b758f164d6e8ce20306642ed16adc39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2K3DHZRVE4X7IRS2ZXHLF4JKPK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Euler-Plateau, with a twist","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.DG","math.MP"],"primary_cat":"cond-mat.soft","authors_text":"Aisa Biria, Eliot Fried","submitted_at":"2014-05-07T21:47:17Z","abstract_excerpt":"A generalization of the Euler-Plateau problem to account for the energy contribution due to twisting of the bounding loop is proposed. Euler-Lagrange equations are derived in a parameterized setting and a bifurcation analysis is performed. A pair of dimensionless parameters govern bifurcations from a flat, circular ground state. While one of these is familiar from the Euler-Plateau problem, the other encompasses information about the ratio of the twisting to bending rigidities, twist, and size of the loop. For sufficiently small values of the latter parameter, two separate groups of bifurcatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1760","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":"2026-05-18T02:40:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"74fc/uq0uSD+wCIb1BRYR/W7JNcdw6mMrqSGFfipblzD+UzW484pJtr/czvok721Wlut4sTzQWUTd9483iTcDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:43:46.861764Z"},"content_sha256":"809e739eec93dfad34d817ac3b887d3c246a6cb06d42bd1addeea5d1a54a396d","schema_version":"1.0","event_id":"sha256:809e739eec93dfad34d817ac3b887d3c246a6cb06d42bd1addeea5d1a54a396d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2K3DHZRVE4X7IRS2ZXHLF4JKPK/bundle.json","state_url":"https://pith.science/pith/2K3DHZRVE4X7IRS2ZXHLF4JKPK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2K3DHZRVE4X7IRS2ZXHLF4JKPK/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":"2026-06-01T12:43:46Z","links":{"resolver":"https://pith.science/pith/2K3DHZRVE4X7IRS2ZXHLF4JKPK","bundle":"https://pith.science/pith/2K3DHZRVE4X7IRS2ZXHLF4JKPK/bundle.json","state":"https://pith.science/pith/2K3DHZRVE4X7IRS2ZXHLF4JKPK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2K3DHZRVE4X7IRS2ZXHLF4JKPK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2K3DHZRVE4X7IRS2ZXHLF4JKPK","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":"5d701cdf75d1aca6a381d1a0535494312b5347827d2aa7b74d5dd0fe3c4e5ba7","cross_cats_sorted":["math-ph","math.AP","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-05-07T21:47:17Z","title_canon_sha256":"b81513f16955ea949bacd2eaf0b67ff06683c47981fc8e51560e6955ac02ca20"},"schema_version":"1.0","source":{"id":"1405.1760","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1760","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1760v1","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1760","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"pith_short_12","alias_value":"2K3DHZRVE4X7","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2K3DHZRVE4X7IRS2","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2K3DHZRV","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:809e739eec93dfad34d817ac3b887d3c246a6cb06d42bd1addeea5d1a54a396d","target":"graph","created_at":"2026-05-18T02:40:18Z","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 generalization of the Euler-Plateau problem to account for the energy contribution due to twisting of the bounding loop is proposed. Euler-Lagrange equations are derived in a parameterized setting and a bifurcation analysis is performed. A pair of dimensionless parameters govern bifurcations from a flat, circular ground state. While one of these is familiar from the Euler-Plateau problem, the other encompasses information about the ratio of the twisting to bending rigidities, twist, and size of the loop. For sufficiently small values of the latter parameter, two separate groups of bifurcatio","authors_text":"Aisa Biria, Eliot Fried","cross_cats":["math-ph","math.AP","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-05-07T21:47:17Z","title":"Euler-Plateau, with a twist"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1760","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:e67e580d5ff44a2cc698d2727f0976336b758f164d6e8ce20306642ed16adc39","target":"record","created_at":"2026-05-18T02:40:18Z","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":"5d701cdf75d1aca6a381d1a0535494312b5347827d2aa7b74d5dd0fe3c4e5ba7","cross_cats_sorted":["math-ph","math.AP","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-05-07T21:47:17Z","title_canon_sha256":"b81513f16955ea949bacd2eaf0b67ff06683c47981fc8e51560e6955ac02ca20"},"schema_version":"1.0","source":{"id":"1405.1760","kind":"arxiv","version":1}},"canonical_sha256":"d2b633e635272ff4465acdceb2f12a7aa910af881e003b574bb22e73a300914b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2b633e635272ff4465acdceb2f12a7aa910af881e003b574bb22e73a300914b","first_computed_at":"2026-05-18T02:40:18.218716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:18.218716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Afzfj38HCpibB9uK5m2Zx1UT9Wg2w+dzlKhE/pMMXz2vdrEDHZ4FrzxqXyW+WtUhekR9lrC5IwOA0ou4k7lJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:18.219221Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1760","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e67e580d5ff44a2cc698d2727f0976336b758f164d6e8ce20306642ed16adc39","sha256:809e739eec93dfad34d817ac3b887d3c246a6cb06d42bd1addeea5d1a54a396d"],"state_sha256":"2e9ac5f6adcb06756e7621691a1eb318c9405e6588ce2bb92550c065be515296"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1CE1lzhcHcvtAMj9o1qs+cWkyT7O6doo/Hz3I0Zq74Fm/Rc5OYakzkPZ/K96yS4HSDV//fEMW6jfvraKNtvGAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:43:46.863796Z","bundle_sha256":"26f769ed63a3348002d2f4df165934dc512798433f2ebfed702b2af530e31aad"}}