{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YAOP547SC4ZJF6RPH7PWQRJLFH","short_pith_number":"pith:YAOP547S","canonical_record":{"source":{"id":"1311.2939","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-12T21:00:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ab27e638d0d9619e598515b03bc635a894d695ee3cac409758415b096f126e4f","abstract_canon_sha256":"ee0f62ac8e83dfa69ee11d72d7c50d49be5c78d6371717af4a73f49b18044f54"},"schema_version":"1.0"},"canonical_sha256":"c01cfef3f2173292fa2f3fdf68452b29cbdbe8de32550f9ba963cf609b469ea4","source":{"kind":"arxiv","id":"1311.2939","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2939","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2939v3","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2939","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"YAOP547SC4ZJ","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YAOP547SC4ZJF6RP","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YAOP547S","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YAOP547SC4ZJF6RPH7PWQRJLFH","target":"record","payload":{"canonical_record":{"source":{"id":"1311.2939","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-12T21:00:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ab27e638d0d9619e598515b03bc635a894d695ee3cac409758415b096f126e4f","abstract_canon_sha256":"ee0f62ac8e83dfa69ee11d72d7c50d49be5c78d6371717af4a73f49b18044f54"},"schema_version":"1.0"},"canonical_sha256":"c01cfef3f2173292fa2f3fdf68452b29cbdbe8de32550f9ba963cf609b469ea4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:11.301098Z","signature_b64":"aXLRQABEfMtAyOv/+/5wU51hCDzD+ZGFaQgb1MoLjz0W3MLBQyHA5sNlAy9tQ1mQrIG5CrJYIQGcPCUgQ6AnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c01cfef3f2173292fa2f3fdf68452b29cbdbe8de32550f9ba963cf609b469ea4","last_reissued_at":"2026-05-18T02:56:11.300723Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:11.300723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.2939","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:56:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4qZAj1DxoKLE7P5Kda5DknkrxaKrXSm2inKaE8I2Q2J69Vc50eOuHp45IAzSrnbz/sae2I3o9R60ihFxGBQ5Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:25:59.843780Z"},"content_sha256":"0277750151f8fa422165343c1d07ea9f8a9e643529590e3cc271858c7bcb8607","schema_version":"1.0","event_id":"sha256:0277750151f8fa422165343c1d07ea9f8a9e643529590e3cc271858c7bcb8607"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YAOP547SC4ZJF6RPH7PWQRJLFH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological energy bounds in generalized Skyrme models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A. Wereszczynski, C. Adam","submitted_at":"2013-11-12T21:00:05Z","abstract_excerpt":"The Skyrme model has a natural generalization amenable to a standard hamiltonian treatment, consisting of the standard sigma model and the Skyrme terms, a potential, and a certain term sextic in first derivatives. Here we demonstrate that, in this theory, each pair of terms in the static energy functional which may support topological solitons according to the Derrick criterion (i.e., each pair of terms with opposite Derrick scaling) separately posesses a topological energy bound. As a consequence, there exists a four-parameter family of topological bounds for the full generalized Skyrme model"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2939","kind":"arxiv","version":3},"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":"2026-05-18T02:56:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"irhYKoGFn+IOUnIOBebVUmtwnHtwSVR0jLmDkFWn7lCTXwLHlVPaAqgak9HQA/RyntAAfBNercdmvYOCM0iADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:25:59.844222Z"},"content_sha256":"3a8cdc5294e1edb4ebccd482ae61ec8b2abc1a3a79ec9a4761f435624d360ea6","schema_version":"1.0","event_id":"sha256:3a8cdc5294e1edb4ebccd482ae61ec8b2abc1a3a79ec9a4761f435624d360ea6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YAOP547SC4ZJF6RPH7PWQRJLFH/bundle.json","state_url":"https://pith.science/pith/YAOP547SC4ZJF6RPH7PWQRJLFH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YAOP547SC4ZJF6RPH7PWQRJLFH/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":"2026-08-04T21:25:59Z","links":{"resolver":"https://pith.science/pith/YAOP547SC4ZJF6RPH7PWQRJLFH","bundle":"https://pith.science/pith/YAOP547SC4ZJF6RPH7PWQRJLFH/bundle.json","state":"https://pith.science/pith/YAOP547SC4ZJF6RPH7PWQRJLFH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YAOP547SC4ZJF6RPH7PWQRJLFH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YAOP547SC4ZJF6RPH7PWQRJLFH","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":"ee0f62ac8e83dfa69ee11d72d7c50d49be5c78d6371717af4a73f49b18044f54","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-12T21:00:05Z","title_canon_sha256":"ab27e638d0d9619e598515b03bc635a894d695ee3cac409758415b096f126e4f"},"schema_version":"1.0","source":{"id":"1311.2939","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2939","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2939v3","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2939","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"YAOP547SC4ZJ","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YAOP547SC4ZJF6RP","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YAOP547S","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:3a8cdc5294e1edb4ebccd482ae61ec8b2abc1a3a79ec9a4761f435624d360ea6","target":"graph","created_at":"2026-05-18T02:56:11Z","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":"The Skyrme model has a natural generalization amenable to a standard hamiltonian treatment, consisting of the standard sigma model and the Skyrme terms, a potential, and a certain term sextic in first derivatives. Here we demonstrate that, in this theory, each pair of terms in the static energy functional which may support topological solitons according to the Derrick criterion (i.e., each pair of terms with opposite Derrick scaling) separately posesses a topological energy bound. As a consequence, there exists a four-parameter family of topological bounds for the full generalized Skyrme model","authors_text":"A. Wereszczynski, C. Adam","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-12T21:00:05Z","title":"Topological energy bounds in generalized Skyrme models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2939","kind":"arxiv","version":3},"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":"sha256:0277750151f8fa422165343c1d07ea9f8a9e643529590e3cc271858c7bcb8607","target":"record","created_at":"2026-05-18T02:56:11Z","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":"ee0f62ac8e83dfa69ee11d72d7c50d49be5c78d6371717af4a73f49b18044f54","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-12T21:00:05Z","title_canon_sha256":"ab27e638d0d9619e598515b03bc635a894d695ee3cac409758415b096f126e4f"},"schema_version":"1.0","source":{"id":"1311.2939","kind":"arxiv","version":3}},"canonical_sha256":"c01cfef3f2173292fa2f3fdf68452b29cbdbe8de32550f9ba963cf609b469ea4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c01cfef3f2173292fa2f3fdf68452b29cbdbe8de32550f9ba963cf609b469ea4","first_computed_at":"2026-05-18T02:56:11.300723Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:11.300723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aXLRQABEfMtAyOv/+/5wU51hCDzD+ZGFaQgb1MoLjz0W3MLBQyHA5sNlAy9tQ1mQrIG5CrJYIQGcPCUgQ6AnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:11.301098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2939","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0277750151f8fa422165343c1d07ea9f8a9e643529590e3cc271858c7bcb8607","sha256:3a8cdc5294e1edb4ebccd482ae61ec8b2abc1a3a79ec9a4761f435624d360ea6"],"state_sha256":"235755b8c683d267708f9d49a1ea8a7be9cd3815fa30c88ec0c11201e1693097"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VWTayiU6BCajcOVaE6ak1yog3EnA4gl/FOHJrc+VHhXwXHdBwJ0gN4/L1NcrOZVrkBBf2KddLFkMDxMiB3ZaDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T21:25:59.847701Z","bundle_sha256":"3d0575c1eab5e857691d48981dd4ffea6bbd0f1e6325dc5afb73f739151a2ddc"}}