{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:P3Z2WNUBCZE73LHYA5ZYWB26HH","short_pith_number":"pith:P3Z2WNUB","canonical_record":{"source":{"id":"1507.04200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-07-15T13:06:53Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"ed01cb8031a497f504330c33b36482279def59d7ce06d1f067c2665a87edf811","abstract_canon_sha256":"9c59dd76280bc218ea78dac72f9a4432119ab624b7263feb5a3926dfd238052f"},"schema_version":"1.0"},"canonical_sha256":"7ef3ab36811649fdacf807738b075e39c1e74383575008057b9fe632c419b87b","source":{"kind":"arxiv","id":"1507.04200","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04200","created_at":"2026-05-18T01:36:44Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04200v1","created_at":"2026-05-18T01:36:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04200","created_at":"2026-05-18T01:36:44Z"},{"alias_kind":"pith_short_12","alias_value":"P3Z2WNUBCZE7","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P3Z2WNUBCZE73LHY","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P3Z2WNUB","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:P3Z2WNUBCZE73LHYA5ZYWB26HH","target":"record","payload":{"canonical_record":{"source":{"id":"1507.04200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-07-15T13:06:53Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"ed01cb8031a497f504330c33b36482279def59d7ce06d1f067c2665a87edf811","abstract_canon_sha256":"9c59dd76280bc218ea78dac72f9a4432119ab624b7263feb5a3926dfd238052f"},"schema_version":"1.0"},"canonical_sha256":"7ef3ab36811649fdacf807738b075e39c1e74383575008057b9fe632c419b87b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:44.374621Z","signature_b64":"fYTRcwBrdsbIqLGCBg+T1N7zRTfxvX9InbN6Vh6VaLs4IXmBXJa7+91PHw1h0xhlghbfaflDJOeDiS3s2onlCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ef3ab36811649fdacf807738b075e39c1e74383575008057b9fe632c419b87b","last_reissued_at":"2026-05-18T01:36:44.374015Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:44.374015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.04200","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":"2026-05-18T01:36:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t/eUuIW+Jq4bfYw096HtzDao4xQrM0lWoG5K3L6LbCcT+tPaOlL6SNK/vf4js7ztNOP9ndlSbk470ObY4nuoDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T11:36:35.667847Z"},"content_sha256":"1a48d4bd54001ffea78587042b3a1dded5dc3b701a1a21741f60253d8c628a65","schema_version":"1.0","event_id":"sha256:1a48d4bd54001ffea78587042b3a1dded5dc3b701a1a21741f60253d8c628a65"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:P3Z2WNUBCZE73LHYA5ZYWB26HH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonexistence of steady solutions for rotational slender fibre spinning with surface tension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"Axel Klar, Thomas G\\\"otz","submitted_at":"2015-07-15T13:06:53Z","abstract_excerpt":"Reduced one-dimensional equations for the stationary, isothermal rotational spinning process of slender fibers are considered for the case of large Reynolds ($\\delta=3/\\text{Re}\\ll 1$) and small Rossby numbers ($\\varepsilon \\ll 1$). Surface tension is included in the model using the parameter $\\kappa=\\sqrt{\\pi}/(2 \\text{We})$ related to the inverse Weber number. The inviscid case $\\delta=0$ is discussed as a reference case. For the viscous case $\\delta > 0$ numerical simulations indicate, that for a certain parameter range, no physically relevant solution may exist. Transferring properties of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04200","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":"2026-05-18T01:36:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hv3H5yXYRMebuTpsw6SDV6yxJy7C0Xc3HeEyZhOawlRvttf9rdWaMqxAJfTpAw8Hc005RyHqqSi8s+4KF1WPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T11:36:35.668189Z"},"content_sha256":"cc89db7233f9507caf66e853123e9d745503786ec85481535a5b7c8d33b0fa1a","schema_version":"1.0","event_id":"sha256:cc89db7233f9507caf66e853123e9d745503786ec85481535a5b7c8d33b0fa1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P3Z2WNUBCZE73LHYA5ZYWB26HH/bundle.json","state_url":"https://pith.science/pith/P3Z2WNUBCZE73LHYA5ZYWB26HH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P3Z2WNUBCZE73LHYA5ZYWB26HH/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":"2026-06-24T11:36:35Z","links":{"resolver":"https://pith.science/pith/P3Z2WNUBCZE73LHYA5ZYWB26HH","bundle":"https://pith.science/pith/P3Z2WNUBCZE73LHYA5ZYWB26HH/bundle.json","state":"https://pith.science/pith/P3Z2WNUBCZE73LHYA5ZYWB26HH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P3Z2WNUBCZE73LHYA5ZYWB26HH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:P3Z2WNUBCZE73LHYA5ZYWB26HH","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":"9c59dd76280bc218ea78dac72f9a4432119ab624b7263feb5a3926dfd238052f","cross_cats_sorted":["math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-07-15T13:06:53Z","title_canon_sha256":"ed01cb8031a497f504330c33b36482279def59d7ce06d1f067c2665a87edf811"},"schema_version":"1.0","source":{"id":"1507.04200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04200","created_at":"2026-05-18T01:36:44Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04200v1","created_at":"2026-05-18T01:36:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04200","created_at":"2026-05-18T01:36:44Z"},{"alias_kind":"pith_short_12","alias_value":"P3Z2WNUBCZE7","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P3Z2WNUBCZE73LHY","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P3Z2WNUB","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:cc89db7233f9507caf66e853123e9d745503786ec85481535a5b7c8d33b0fa1a","target":"graph","created_at":"2026-05-18T01:36:44Z","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":"Reduced one-dimensional equations for the stationary, isothermal rotational spinning process of slender fibers are considered for the case of large Reynolds ($\\delta=3/\\text{Re}\\ll 1$) and small Rossby numbers ($\\varepsilon \\ll 1$). Surface tension is included in the model using the parameter $\\kappa=\\sqrt{\\pi}/(2 \\text{We})$ related to the inverse Weber number. The inviscid case $\\delta=0$ is discussed as a reference case. For the viscous case $\\delta > 0$ numerical simulations indicate, that for a certain parameter range, no physically relevant solution may exist. Transferring properties of ","authors_text":"Axel Klar, Thomas G\\\"otz","cross_cats":["math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-07-15T13:06:53Z","title":"Nonexistence of steady solutions for rotational slender fibre spinning with surface tension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04200","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":"sha256:1a48d4bd54001ffea78587042b3a1dded5dc3b701a1a21741f60253d8c628a65","target":"record","created_at":"2026-05-18T01:36:44Z","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":"9c59dd76280bc218ea78dac72f9a4432119ab624b7263feb5a3926dfd238052f","cross_cats_sorted":["math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-07-15T13:06:53Z","title_canon_sha256":"ed01cb8031a497f504330c33b36482279def59d7ce06d1f067c2665a87edf811"},"schema_version":"1.0","source":{"id":"1507.04200","kind":"arxiv","version":1}},"canonical_sha256":"7ef3ab36811649fdacf807738b075e39c1e74383575008057b9fe632c419b87b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ef3ab36811649fdacf807738b075e39c1e74383575008057b9fe632c419b87b","first_computed_at":"2026-05-18T01:36:44.374015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:44.374015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fYTRcwBrdsbIqLGCBg+T1N7zRTfxvX9InbN6Vh6VaLs4IXmBXJa7+91PHw1h0xhlghbfaflDJOeDiS3s2onlCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:44.374621Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.04200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a48d4bd54001ffea78587042b3a1dded5dc3b701a1a21741f60253d8c628a65","sha256:cc89db7233f9507caf66e853123e9d745503786ec85481535a5b7c8d33b0fa1a"],"state_sha256":"fb4c988dbaefcef60d136b80efb65df27866d5853932428f9f135a3e0bd58af3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5lDxoHygBSYXc46qM4EWjPtei90VX2DdyYu3wvdLA0IEN6213GPqHFEYiWJv7A1AaVJZyF6NjCXksczu8JLtBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T11:36:35.670173Z","bundle_sha256":"fe78a335f36a97ad1124e9173fabe84abdfc6316093be66db1800862d5437c0c"}}