{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:SM4BGNOH2SV2FWSY3543ETIHP2","short_pith_number":"pith:SM4BGNOH","canonical_record":{"source":{"id":"hep-ph/9507457","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1995-07-31T14:28:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d416267d0126a6a166a89941d146e5b2f157ccd51316ce6d4f5a37f712f6a047","abstract_canon_sha256":"ec13961f4ca2141c778df9c87b0ff8d3f77e5fdeb3f5563b8215984906607ae1"},"schema_version":"1.0"},"canonical_sha256":"93381335c7d4aba2da58df79b24d077e989f600e1e59f01c7ea310fd4f3d3646","source":{"kind":"arxiv","id":"hep-ph/9507457","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9507457","created_at":"2026-07-04T15:59:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9507457v5","created_at":"2026-07-04T15:59:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9507457","created_at":"2026-07-04T15:59:11Z"},{"alias_kind":"pith_short_12","alias_value":"SM4BGNOH2SV2","created_at":"2026-07-04T15:59:11Z"},{"alias_kind":"pith_short_16","alias_value":"SM4BGNOH2SV2FWSY","created_at":"2026-07-04T15:59:11Z"},{"alias_kind":"pith_short_8","alias_value":"SM4BGNOH","created_at":"2026-07-04T15:59:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:SM4BGNOH2SV2FWSY3543ETIHP2","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9507457","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1995-07-31T14:28:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d416267d0126a6a166a89941d146e5b2f157ccd51316ce6d4f5a37f712f6a047","abstract_canon_sha256":"ec13961f4ca2141c778df9c87b0ff8d3f77e5fdeb3f5563b8215984906607ae1"},"schema_version":"1.0"},"canonical_sha256":"93381335c7d4aba2da58df79b24d077e989f600e1e59f01c7ea310fd4f3d3646","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:11.750935Z","signature_b64":"0LZ6LW7RSuT/9MgeU7/e/2XNtnngp5vQIospR1uSU4HJEvi2F8wWG6Q/le8V0ORbZepgDhZU02B6E0vwanr+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93381335c7d4aba2da58df79b24d077e989f600e1e59f01c7ea310fd4f3d3646","last_reissued_at":"2026-07-04T15:59:11.750568Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:11.750568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9507457","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:59:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8SpeI8/xXFqnnDqhTX0TxnKkQ49K7OS5RtiO2UAgvNmFgLl3Au22vdSPRuZhlvi0soOFuXnfrWz7wol0yQKGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T14:47:01.741115Z"},"content_sha256":"9640757eb2482c81b772aee4130b0e481bbc6648b89bb2b5c216afbce0ddadf2","schema_version":"1.0","event_id":"sha256:9640757eb2482c81b772aee4130b0e481bbc6648b89bb2b5c216afbce0ddadf2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:SM4BGNOH2SV2FWSY3543ETIHP2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Embedded Vortices","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Anne-Christine Davis, Nathan F. Lepora","submitted_at":"1995-07-31T14:28:38Z","abstract_excerpt":"We present a discussion of embedded vortices in general Yang-Mills theories. The origin of a family structure of solutions is shown to be group theoretic in nature and a procedure for its determination is developed. Vortex stability can be quantified into three types: Abelian topological stability, non-Abelian topological stability, and dynamical stability; we relate these to the family structure of vortices, in particular discussing how Abelian topological and dynamical stability are related. The formalism generally encompasses embedded domain walls and embedded monopoles also."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9507457","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9507457/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:59:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vtnR4sdbhkTqKpTQkirxvXY9E/2BWhcv3sigIYHDxw67F+9bM/WLGll0/RavujSglK2u8v3/4yEk+2zliOhXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T14:47:01.741505Z"},"content_sha256":"acd2c7bfb165d70e31296efe5f1e4da7796e9d3fb96c59c5b574e49c61122ad1","schema_version":"1.0","event_id":"sha256:acd2c7bfb165d70e31296efe5f1e4da7796e9d3fb96c59c5b574e49c61122ad1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SM4BGNOH2SV2FWSY3543ETIHP2/bundle.json","state_url":"https://pith.science/pith/SM4BGNOH2SV2FWSY3543ETIHP2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SM4BGNOH2SV2FWSY3543ETIHP2/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":"2026-07-07T14:47:01Z","links":{"resolver":"https://pith.science/pith/SM4BGNOH2SV2FWSY3543ETIHP2","bundle":"https://pith.science/pith/SM4BGNOH2SV2FWSY3543ETIHP2/bundle.json","state":"https://pith.science/pith/SM4BGNOH2SV2FWSY3543ETIHP2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SM4BGNOH2SV2FWSY3543ETIHP2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:SM4BGNOH2SV2FWSY3543ETIHP2","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":"ec13961f4ca2141c778df9c87b0ff8d3f77e5fdeb3f5563b8215984906607ae1","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1995-07-31T14:28:38Z","title_canon_sha256":"d416267d0126a6a166a89941d146e5b2f157ccd51316ce6d4f5a37f712f6a047"},"schema_version":"1.0","source":{"id":"hep-ph/9507457","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9507457","created_at":"2026-07-04T15:59:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9507457v5","created_at":"2026-07-04T15:59:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9507457","created_at":"2026-07-04T15:59:11Z"},{"alias_kind":"pith_short_12","alias_value":"SM4BGNOH2SV2","created_at":"2026-07-04T15:59:11Z"},{"alias_kind":"pith_short_16","alias_value":"SM4BGNOH2SV2FWSY","created_at":"2026-07-04T15:59:11Z"},{"alias_kind":"pith_short_8","alias_value":"SM4BGNOH","created_at":"2026-07-04T15:59:11Z"}],"graph_snapshots":[{"event_id":"sha256:acd2c7bfb165d70e31296efe5f1e4da7796e9d3fb96c59c5b574e49c61122ad1","target":"graph","created_at":"2026-07-04T15:59:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/9507457/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a discussion of embedded vortices in general Yang-Mills theories. The origin of a family structure of solutions is shown to be group theoretic in nature and a procedure for its determination is developed. Vortex stability can be quantified into three types: Abelian topological stability, non-Abelian topological stability, and dynamical stability; we relate these to the family structure of vortices, in particular discussing how Abelian topological and dynamical stability are related. The formalism generally encompasses embedded domain walls and embedded monopoles also.","authors_text":"Anne-Christine Davis, Nathan F. Lepora","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1995-07-31T14:28:38Z","title":"Embedded Vortices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9507457","kind":"arxiv","version":5},"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":"sha256:9640757eb2482c81b772aee4130b0e481bbc6648b89bb2b5c216afbce0ddadf2","target":"record","created_at":"2026-07-04T15:59:11Z","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":"ec13961f4ca2141c778df9c87b0ff8d3f77e5fdeb3f5563b8215984906607ae1","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1995-07-31T14:28:38Z","title_canon_sha256":"d416267d0126a6a166a89941d146e5b2f157ccd51316ce6d4f5a37f712f6a047"},"schema_version":"1.0","source":{"id":"hep-ph/9507457","kind":"arxiv","version":5}},"canonical_sha256":"93381335c7d4aba2da58df79b24d077e989f600e1e59f01c7ea310fd4f3d3646","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93381335c7d4aba2da58df79b24d077e989f600e1e59f01c7ea310fd4f3d3646","first_computed_at":"2026-07-04T15:59:11.750568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:59:11.750568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0LZ6LW7RSuT/9MgeU7/e/2XNtnngp5vQIospR1uSU4HJEvi2F8wWG6Q/le8V0ORbZepgDhZU02B6E0vwanr+Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:59:11.750935Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9507457","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9640757eb2482c81b772aee4130b0e481bbc6648b89bb2b5c216afbce0ddadf2","sha256:acd2c7bfb165d70e31296efe5f1e4da7796e9d3fb96c59c5b574e49c61122ad1"],"state_sha256":"59844560f38db3f05e8c722854306759d57655bbc14d3d64172768062500e9d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hd4ncStEjWIu1ynebedZBbMSU3kJ0MDrPA35EWXpIOa7PmvNhTjbf0xnqFxUCuHM36QzizWzJ8LJ32yObLFoBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T14:47:01.743451Z","bundle_sha256":"fb1c9d9d0e457880752532f088a4f9666136ad66437096a42b46332319c5c6ef"}}