{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QLWCPQA53R4G3NPENUFIYPGJZL","short_pith_number":"pith:QLWCPQA5","canonical_record":{"source":{"id":"1406.6240","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-24T13:58:25Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"39de40a52d28a3b24b2f05899a6b605ad0927ebf739b35ec991752a394917bc3","abstract_canon_sha256":"25380740b033fe9bbd8ba2e7e8d949094e499ac78c19dda2147d057e000770c4"},"schema_version":"1.0"},"canonical_sha256":"82ec27c01ddc786db5e46d0a8c3cc9cad7d71edef64bac8e8fc4e62913ab3db5","source":{"kind":"arxiv","id":"1406.6240","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6240","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6240v2","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6240","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"QLWCPQA53R4G","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QLWCPQA53R4G3NPE","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QLWCPQA5","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QLWCPQA53R4G3NPENUFIYPGJZL","target":"record","payload":{"canonical_record":{"source":{"id":"1406.6240","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-24T13:58:25Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"39de40a52d28a3b24b2f05899a6b605ad0927ebf739b35ec991752a394917bc3","abstract_canon_sha256":"25380740b033fe9bbd8ba2e7e8d949094e499ac78c19dda2147d057e000770c4"},"schema_version":"1.0"},"canonical_sha256":"82ec27c01ddc786db5e46d0a8c3cc9cad7d71edef64bac8e8fc4e62913ab3db5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:53.016604Z","signature_b64":"2d4jv+S0D8TVUQ5i4Kdx9QJ2aBvmn6JAR4bjawbjkxVAJi8jAjYZFU9C+hVOjunichTHXUA0oL2flFnW8ociAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82ec27c01ddc786db5e46d0a8c3cc9cad7d71edef64bac8e8fc4e62913ab3db5","last_reissued_at":"2026-05-18T02:41:53.016024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:53.016024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.6240","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":"2026-05-18T02:41:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pjKgllUg7AtU5FAlBuXVPMj7uR2xclFnkAQ0yq2d7ahtzxlBarZCE2uoPgGI2Avvca4jpaGbYZktv+g9opGYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T06:08:25.214002Z"},"content_sha256":"2eceb7578709b0f760b3f0793562158bed5e4e8325f745b6359f58fb6a0e1150","schema_version":"1.0","event_id":"sha256:2eceb7578709b0f760b3f0793562158bed5e4e8325f745b6359f58fb6a0e1150"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QLWCPQA53R4G3NPENUFIYPGJZL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a stability property of Skyrme-related energy functionals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Radu Slobodeanu","submitted_at":"2014-06-24T13:58:25Z","abstract_excerpt":"We study the stability of critical maps from (or into) spheres with respect to the symplectic Dirichlet and $\\sigma_2$ energies which are the fourth power terms in Skyrme type sigma-models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6240","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":""},"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":"2026-05-18T02:41:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PoymmHk62o5bMrxiyEbmQ9n01ZYELxkO51ILYFfwO7eEEcUZfSOyKQshSp/zxOBXeScBIxbg2r+tRNsDz9Y7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T06:08:25.214367Z"},"content_sha256":"93de4d0e51bb2568ec81c6deadb497a08c3e79c0093d0c5d3dc7264643f49256","schema_version":"1.0","event_id":"sha256:93de4d0e51bb2568ec81c6deadb497a08c3e79c0093d0c5d3dc7264643f49256"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QLWCPQA53R4G3NPENUFIYPGJZL/bundle.json","state_url":"https://pith.science/pith/QLWCPQA53R4G3NPENUFIYPGJZL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QLWCPQA53R4G3NPENUFIYPGJZL/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":"2026-06-25T06:08:25Z","links":{"resolver":"https://pith.science/pith/QLWCPQA53R4G3NPENUFIYPGJZL","bundle":"https://pith.science/pith/QLWCPQA53R4G3NPENUFIYPGJZL/bundle.json","state":"https://pith.science/pith/QLWCPQA53R4G3NPENUFIYPGJZL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QLWCPQA53R4G3NPENUFIYPGJZL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QLWCPQA53R4G3NPENUFIYPGJZL","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":"25380740b033fe9bbd8ba2e7e8d949094e499ac78c19dda2147d057e000770c4","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-24T13:58:25Z","title_canon_sha256":"39de40a52d28a3b24b2f05899a6b605ad0927ebf739b35ec991752a394917bc3"},"schema_version":"1.0","source":{"id":"1406.6240","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6240","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6240v2","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6240","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"QLWCPQA53R4G","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QLWCPQA53R4G3NPE","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QLWCPQA5","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:93de4d0e51bb2568ec81c6deadb497a08c3e79c0093d0c5d3dc7264643f49256","target":"graph","created_at":"2026-05-18T02:41:53Z","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":"We study the stability of critical maps from (or into) spheres with respect to the symplectic Dirichlet and $\\sigma_2$ energies which are the fourth power terms in Skyrme type sigma-models.","authors_text":"Radu Slobodeanu","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-24T13:58:25Z","title":"On a stability property of Skyrme-related energy functionals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6240","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":"sha256:2eceb7578709b0f760b3f0793562158bed5e4e8325f745b6359f58fb6a0e1150","target":"record","created_at":"2026-05-18T02:41:53Z","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":"25380740b033fe9bbd8ba2e7e8d949094e499ac78c19dda2147d057e000770c4","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-24T13:58:25Z","title_canon_sha256":"39de40a52d28a3b24b2f05899a6b605ad0927ebf739b35ec991752a394917bc3"},"schema_version":"1.0","source":{"id":"1406.6240","kind":"arxiv","version":2}},"canonical_sha256":"82ec27c01ddc786db5e46d0a8c3cc9cad7d71edef64bac8e8fc4e62913ab3db5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82ec27c01ddc786db5e46d0a8c3cc9cad7d71edef64bac8e8fc4e62913ab3db5","first_computed_at":"2026-05-18T02:41:53.016024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:53.016024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2d4jv+S0D8TVUQ5i4Kdx9QJ2aBvmn6JAR4bjawbjkxVAJi8jAjYZFU9C+hVOjunichTHXUA0oL2flFnW8ociAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:53.016604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6240","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2eceb7578709b0f760b3f0793562158bed5e4e8325f745b6359f58fb6a0e1150","sha256:93de4d0e51bb2568ec81c6deadb497a08c3e79c0093d0c5d3dc7264643f49256"],"state_sha256":"f5ac2df8a186ce351dbbf645bc3782f0a80bd5f08836d30848e1568ce34de0f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EY0qHtEcXin4Nb36WQvLKAZUTCTIRkdq8Y0Ei2tQUzq5bWishbhdxQZWxLEI46A4OOvH3vaQ83aGzVqfzxk3Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T06:08:25.216488Z","bundle_sha256":"da2b153309c4db82832a554293d06b2092e53b5d369976d740fae5553495effa"}}