{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:FCQAWHCHHCONATSLZZZOWD43I3","short_pith_number":"pith:FCQAWHCH","canonical_record":{"source":{"id":"1210.0926","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-02T21:04:10Z","cross_cats_sorted":[],"title_canon_sha256":"bdce33d6ed6be71ce15756eea2863dcbadedcd81b1c000ec3825c7c1e368d4d0","abstract_canon_sha256":"01348ed9bd51568091747c21fb877b5b8c16208214e423ca744dd251d19e2106"},"schema_version":"1.0"},"canonical_sha256":"28a00b1c47389cd04e4bce72eb0f9b46e102a7e51de7730585c6b1911906ebbe","source":{"kind":"arxiv","id":"1210.0926","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0926","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0926v1","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0926","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"pith_short_12","alias_value":"FCQAWHCHHCON","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FCQAWHCHHCONATSL","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FCQAWHCH","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:FCQAWHCHHCONATSLZZZOWD43I3","target":"record","payload":{"canonical_record":{"source":{"id":"1210.0926","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-02T21:04:10Z","cross_cats_sorted":[],"title_canon_sha256":"bdce33d6ed6be71ce15756eea2863dcbadedcd81b1c000ec3825c7c1e368d4d0","abstract_canon_sha256":"01348ed9bd51568091747c21fb877b5b8c16208214e423ca744dd251d19e2106"},"schema_version":"1.0"},"canonical_sha256":"28a00b1c47389cd04e4bce72eb0f9b46e102a7e51de7730585c6b1911906ebbe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:04.422744Z","signature_b64":"lLQicrKLFlCGXlfQ9NkxE7KqIK4X06Q8H6Fw5mmtClbSMT2TaGinauA+ZYiily3rdVpe0pjXz8Jq2uCEeQCgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28a00b1c47389cd04e4bce72eb0f9b46e102a7e51de7730585c6b1911906ebbe","last_reissued_at":"2026-05-18T03:08:04.422256Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:04.422256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.0926","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":"2026-05-18T03:08:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NSj72/pXsu0UWaHn42LogzfTzidGb819DzRox5kR1XcYCm+DnbtUeUo1h0K+Qx3hbdAgY0Y01jIHGUjvGJk/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:41:40.261785Z"},"content_sha256":"e7547ef4dee5cac6d7cb9b8c761d63121c54a6b5b61358162c9ef1dd55aa1936","schema_version":"1.0","event_id":"sha256:e7547ef4dee5cac6d7cb9b8c761d63121c54a6b5b61358162c9ef1dd55aa1936"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:FCQAWHCHHCONATSLZZZOWD43I3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Static Hopfion solutions of the extended Skyrme-Faddeev model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"David Foster","submitted_at":"2012-10-02T21:04:10Z","abstract_excerpt":"We construct non-axially symmetric static soliton solutions, with non-zero topological charges, of an extension of the Skyrme-Faddeev model. The model has an extra quartic-derivative term and we choose its coupling to the Skyrme-term to be negative. We solve the full equations of motion to find numerical solutions with topological charge up to seven and find that the model favours large ring-like solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0926","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":"2026-05-18T03:08:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1jrRlHkAymdvs7CeE4GmR/yvNTif39+R7wyylcpNuJsvhaCtuwSaXAtYohswoCH+hjiWHk2WSyil+CJwDSndDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:41:40.262133Z"},"content_sha256":"803a72a53bb7e7c725d28085648d1b6640c64942b797e80c7bbf22f64fd8951d","schema_version":"1.0","event_id":"sha256:803a72a53bb7e7c725d28085648d1b6640c64942b797e80c7bbf22f64fd8951d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FCQAWHCHHCONATSLZZZOWD43I3/bundle.json","state_url":"https://pith.science/pith/FCQAWHCHHCONATSLZZZOWD43I3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FCQAWHCHHCONATSLZZZOWD43I3/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":"2026-05-28T09:41:40Z","links":{"resolver":"https://pith.science/pith/FCQAWHCHHCONATSLZZZOWD43I3","bundle":"https://pith.science/pith/FCQAWHCHHCONATSLZZZOWD43I3/bundle.json","state":"https://pith.science/pith/FCQAWHCHHCONATSLZZZOWD43I3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FCQAWHCHHCONATSLZZZOWD43I3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FCQAWHCHHCONATSLZZZOWD43I3","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":"01348ed9bd51568091747c21fb877b5b8c16208214e423ca744dd251d19e2106","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-02T21:04:10Z","title_canon_sha256":"bdce33d6ed6be71ce15756eea2863dcbadedcd81b1c000ec3825c7c1e368d4d0"},"schema_version":"1.0","source":{"id":"1210.0926","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0926","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0926v1","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0926","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"pith_short_12","alias_value":"FCQAWHCHHCON","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FCQAWHCHHCONATSL","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FCQAWHCH","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:803a72a53bb7e7c725d28085648d1b6640c64942b797e80c7bbf22f64fd8951d","target":"graph","created_at":"2026-05-18T03:08:04Z","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 construct non-axially symmetric static soliton solutions, with non-zero topological charges, of an extension of the Skyrme-Faddeev model. The model has an extra quartic-derivative term and we choose its coupling to the Skyrme-term to be negative. We solve the full equations of motion to find numerical solutions with topological charge up to seven and find that the model favours large ring-like solutions.","authors_text":"David Foster","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-02T21:04:10Z","title":"Static Hopfion solutions of the extended Skyrme-Faddeev model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0926","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:e7547ef4dee5cac6d7cb9b8c761d63121c54a6b5b61358162c9ef1dd55aa1936","target":"record","created_at":"2026-05-18T03:08:04Z","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":"01348ed9bd51568091747c21fb877b5b8c16208214e423ca744dd251d19e2106","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-02T21:04:10Z","title_canon_sha256":"bdce33d6ed6be71ce15756eea2863dcbadedcd81b1c000ec3825c7c1e368d4d0"},"schema_version":"1.0","source":{"id":"1210.0926","kind":"arxiv","version":1}},"canonical_sha256":"28a00b1c47389cd04e4bce72eb0f9b46e102a7e51de7730585c6b1911906ebbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28a00b1c47389cd04e4bce72eb0f9b46e102a7e51de7730585c6b1911906ebbe","first_computed_at":"2026-05-18T03:08:04.422256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:04.422256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lLQicrKLFlCGXlfQ9NkxE7KqIK4X06Q8H6Fw5mmtClbSMT2TaGinauA+ZYiily3rdVpe0pjXz8Jq2uCEeQCgDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:04.422744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.0926","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7547ef4dee5cac6d7cb9b8c761d63121c54a6b5b61358162c9ef1dd55aa1936","sha256:803a72a53bb7e7c725d28085648d1b6640c64942b797e80c7bbf22f64fd8951d"],"state_sha256":"ebf70c0c1b9ad9e8b980bcf492229bfd47fc58dd95742a41c256f738998d8350"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o2axKlCGMjE72wABfgoeM9m3/NjkiZyVG29zltdrJlNciuzldKVMdLryMVqhV/Itxujx5vEEK6ENxmmVMD4nDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T09:41:40.264062Z","bundle_sha256":"ef89781af06d6f26c1fbce03d95934229b7254a2363ba766f3ee6633b47b1c60"}}