{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:DY562HXA5OHQMEMUVVJW5BFPDH","short_pith_number":"pith:DY562HXA","canonical_record":{"source":{"id":"1404.2673","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-04-10T02:23:25Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"b42fed913f0fcb7032704bccff3c29abe7a358c402da0f81104512d8db7b8bf4","abstract_canon_sha256":"5e81e1f7ca473296350a9057d74e49360905bb814e84a67cd3598a4b49ec9fc8"},"schema_version":"1.0"},"canonical_sha256":"1e3bed1ee0eb8f061194ad536e84af19c2c7d6102bfb94d3b1e3cc38e26d46a4","source":{"kind":"arxiv","id":"1404.2673","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2673","created_at":"2026-05-18T02:54:20Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2673v1","created_at":"2026-05-18T02:54:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2673","created_at":"2026-05-18T02:54:20Z"},{"alias_kind":"pith_short_12","alias_value":"DY562HXA5OHQ","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DY562HXA5OHQMEMU","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DY562HXA","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:DY562HXA5OHQMEMUVVJW5BFPDH","target":"record","payload":{"canonical_record":{"source":{"id":"1404.2673","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-04-10T02:23:25Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"b42fed913f0fcb7032704bccff3c29abe7a358c402da0f81104512d8db7b8bf4","abstract_canon_sha256":"5e81e1f7ca473296350a9057d74e49360905bb814e84a67cd3598a4b49ec9fc8"},"schema_version":"1.0"},"canonical_sha256":"1e3bed1ee0eb8f061194ad536e84af19c2c7d6102bfb94d3b1e3cc38e26d46a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:20.692142Z","signature_b64":"JVWtUWgCBGDtGBQSef99/L+bo+3j21ALOv/x+4QNSVwR/wSAjsPe+lR9SrAw3ailxtVxquASSb3BVMUwZd6kDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e3bed1ee0eb8f061194ad536e84af19c2c7d6102bfb94d3b1e3cc38e26d46a4","last_reissued_at":"2026-05-18T02:54:20.691711Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:20.691711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.2673","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":"2026-05-18T02:54:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gLKFb4nzkjL9AS+Ph9w9p2lmXPuxnnWgMed52juWdSWFGbFDZfOH1TXwyNfc+DflPw39oxm68d7RioO2acHvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:54:50.371137Z"},"content_sha256":"255aa18cd31830f4222453833ce438667c7c96c4ededbe7fd47ac418f3bce192","schema_version":"1.0","event_id":"sha256:255aa18cd31830f4222453833ce438667c7c96c4ededbe7fd47ac418f3bce192"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:DY562HXA5OHQMEMUVVJW5BFPDH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of near cylindrical stationary solutions to weighted-volume preserving curvature flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"David Hartley","submitted_at":"2014-04-10T02:23:25Z","abstract_excerpt":"In this paper we consider a class of weighted-volume preserving curvature flows acting on hypersurfaces that are trapped within two parallel hyperplanes and satisfy an orthogonal boundary condition. In the author's thesis the stability of cylinders under the flows was considered; it was found that they are stable provided the radius satisfies a certain condition. Here we consider flows where there is a critical radius such that the cylinders are only stable on one side of the critical value, and the weight function is a linear combination of the elementary symmetric functions, the reason for s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2673","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":"2026-05-18T02:54:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oHXvRXR59Bz7Z0jzQxc9hOEIH3FRgirnERz+mZaHXtIPn4h+OcLGg7vqev7Rvm7VFLTUYL9gDRBuVu/+s4TeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:54:50.371495Z"},"content_sha256":"f8af059abe032210335b3eac87cce30434147667a5caa50f32a5eab9ecc2c5df","schema_version":"1.0","event_id":"sha256:f8af059abe032210335b3eac87cce30434147667a5caa50f32a5eab9ecc2c5df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DY562HXA5OHQMEMUVVJW5BFPDH/bundle.json","state_url":"https://pith.science/pith/DY562HXA5OHQMEMUVVJW5BFPDH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DY562HXA5OHQMEMUVVJW5BFPDH/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":"2026-06-12T09:54:50Z","links":{"resolver":"https://pith.science/pith/DY562HXA5OHQMEMUVVJW5BFPDH","bundle":"https://pith.science/pith/DY562HXA5OHQMEMUVVJW5BFPDH/bundle.json","state":"https://pith.science/pith/DY562HXA5OHQMEMUVVJW5BFPDH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DY562HXA5OHQMEMUVVJW5BFPDH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DY562HXA5OHQMEMUVVJW5BFPDH","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":"5e81e1f7ca473296350a9057d74e49360905bb814e84a67cd3598a4b49ec9fc8","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-04-10T02:23:25Z","title_canon_sha256":"b42fed913f0fcb7032704bccff3c29abe7a358c402da0f81104512d8db7b8bf4"},"schema_version":"1.0","source":{"id":"1404.2673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2673","created_at":"2026-05-18T02:54:20Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2673v1","created_at":"2026-05-18T02:54:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2673","created_at":"2026-05-18T02:54:20Z"},{"alias_kind":"pith_short_12","alias_value":"DY562HXA5OHQ","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DY562HXA5OHQMEMU","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DY562HXA","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:f8af059abe032210335b3eac87cce30434147667a5caa50f32a5eab9ecc2c5df","target":"graph","created_at":"2026-05-18T02:54:20Z","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":"In this paper we consider a class of weighted-volume preserving curvature flows acting on hypersurfaces that are trapped within two parallel hyperplanes and satisfy an orthogonal boundary condition. In the author's thesis the stability of cylinders under the flows was considered; it was found that they are stable provided the radius satisfies a certain condition. Here we consider flows where there is a critical radius such that the cylinders are only stable on one side of the critical value, and the weight function is a linear combination of the elementary symmetric functions, the reason for s","authors_text":"David Hartley","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-04-10T02:23:25Z","title":"Stability of near cylindrical stationary solutions to weighted-volume preserving curvature flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2673","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":"sha256:255aa18cd31830f4222453833ce438667c7c96c4ededbe7fd47ac418f3bce192","target":"record","created_at":"2026-05-18T02:54:20Z","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":"5e81e1f7ca473296350a9057d74e49360905bb814e84a67cd3598a4b49ec9fc8","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-04-10T02:23:25Z","title_canon_sha256":"b42fed913f0fcb7032704bccff3c29abe7a358c402da0f81104512d8db7b8bf4"},"schema_version":"1.0","source":{"id":"1404.2673","kind":"arxiv","version":1}},"canonical_sha256":"1e3bed1ee0eb8f061194ad536e84af19c2c7d6102bfb94d3b1e3cc38e26d46a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e3bed1ee0eb8f061194ad536e84af19c2c7d6102bfb94d3b1e3cc38e26d46a4","first_computed_at":"2026-05-18T02:54:20.691711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:20.691711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JVWtUWgCBGDtGBQSef99/L+bo+3j21ALOv/x+4QNSVwR/wSAjsPe+lR9SrAw3ailxtVxquASSb3BVMUwZd6kDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:20.692142Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.2673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:255aa18cd31830f4222453833ce438667c7c96c4ededbe7fd47ac418f3bce192","sha256:f8af059abe032210335b3eac87cce30434147667a5caa50f32a5eab9ecc2c5df"],"state_sha256":"60b23d1ebd0d32159111ea217961f9adea9b72dbdde08130ebf409a45938b660"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qty2M4lZxfNqucsJJoUCEf/uPldYqpM+RhGNoBNaL6Tb3agvG2y1GWIkTIETBDrGsgy35uvZG3SrfNrPIW+MDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T09:54:50.373427Z","bundle_sha256":"d240cb5f30e0199697e3ebff18c191fc6ef78bd21f685c12fc89409144eb5107"}}