{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NIQGFBB55G35TXD5DYNX5EQPID","short_pith_number":"pith:NIQGFBB5","canonical_record":{"source":{"id":"1708.06361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-21T18:00:03Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c3a12cb5fb21be9b41c5dc182a425cd8850d4706435ced9364b94141538c5d54","abstract_canon_sha256":"895b48817c1be1b953d8a9f8ae20769bbc72ec32d03f860bf496f10de2e7676f"},"schema_version":"1.0"},"canonical_sha256":"6a2062843de9b7d9dc7d1e1b7e920f40dde269e86a0fc9d0e7687389fadf06c8","source":{"kind":"arxiv","id":"1708.06361","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06361","created_at":"2026-05-18T00:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06361v2","created_at":"2026-05-18T00:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06361","created_at":"2026-05-18T00:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"NIQGFBB55G35","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NIQGFBB55G35TXD5","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NIQGFBB5","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NIQGFBB55G35TXD5DYNX5EQPID","target":"record","payload":{"canonical_record":{"source":{"id":"1708.06361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-21T18:00:03Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c3a12cb5fb21be9b41c5dc182a425cd8850d4706435ced9364b94141538c5d54","abstract_canon_sha256":"895b48817c1be1b953d8a9f8ae20769bbc72ec32d03f860bf496f10de2e7676f"},"schema_version":"1.0"},"canonical_sha256":"6a2062843de9b7d9dc7d1e1b7e920f40dde269e86a0fc9d0e7687389fadf06c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:53.024632Z","signature_b64":"ucpCgh7GbuQY9rvtpLcSfL32OjqkhGzM8Kx27hPuvceYpnMTp9HKbFyv4/lgv5B0/yFwHQSqnyIULP7uYtrpDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a2062843de9b7d9dc7d1e1b7e920f40dde269e86a0fc9d0e7687389fadf06c8","last_reissued_at":"2026-05-18T00:28:53.024260Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:53.024260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.06361","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":"2026-05-18T00:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kD3akuMYEZuD6QuvKa30LjRf5CugH08FmuvqUNhdJSxOVIqRH3sdeV35TwOY86+yIKAVRGwQlmctFa5xLUnKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:54:51.652141Z"},"content_sha256":"56568ec23b3e73bbf00ee49f2a79e6e3aca8e92d03d5b86bf29f2d2ea43cd39c","schema_version":"1.0","event_id":"sha256:56568ec23b3e73bbf00ee49f2a79e6e3aca8e92d03d5b86bf29f2d2ea43cd39c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NIQGFBB55G35TXD5DYNX5EQPID","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite-action solutions of Yang-Mills equations on de Sitter dS$_4$ and anti-de Sitter AdS$_4$ spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alexander D. Popov, Olaf Lechtenfeld, Tatiana A. Ivanova","submitted_at":"2017-08-21T18:00:03Z","abstract_excerpt":"We consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter dS$_4$ and anti-de Sitter AdS$_4$ spaces and construct various solutions to the Yang-Mills equations. On de Sitter space we reduce the Yang-Mills equations via an SU(2)-equivariant ansatz to Newtonian mechanics of a particle moving in ${\\mathbb R}^3$ under the influence of a quartic potential. Then we describe magnetic and electric-magnetic solutions, both Abelian and non-Abelian, all having finite energy and finite action. A similar reduction on anti-de Sitter space also yields Yang-Mills solutions with finite energy and a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06361","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":"2026-05-18T00:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DOls8plAe7Hp6iKfI9Vx+r93j9HC+bWzKLadTlJTdw9nvbOeRAkVdXu8rXlJiJo6nvXLDn3hjVWx0NfIEYyOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:54:51.652492Z"},"content_sha256":"a289513e4c182f38bcc8160c9f260bbe0588406527806d8e0ceaabbbbe4545c6","schema_version":"1.0","event_id":"sha256:a289513e4c182f38bcc8160c9f260bbe0588406527806d8e0ceaabbbbe4545c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NIQGFBB55G35TXD5DYNX5EQPID/bundle.json","state_url":"https://pith.science/pith/NIQGFBB55G35TXD5DYNX5EQPID/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NIQGFBB55G35TXD5DYNX5EQPID/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":"2026-06-02T03:54:51Z","links":{"resolver":"https://pith.science/pith/NIQGFBB55G35TXD5DYNX5EQPID","bundle":"https://pith.science/pith/NIQGFBB55G35TXD5DYNX5EQPID/bundle.json","state":"https://pith.science/pith/NIQGFBB55G35TXD5DYNX5EQPID/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NIQGFBB55G35TXD5DYNX5EQPID/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NIQGFBB55G35TXD5DYNX5EQPID","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":"895b48817c1be1b953d8a9f8ae20769bbc72ec32d03f860bf496f10de2e7676f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-21T18:00:03Z","title_canon_sha256":"c3a12cb5fb21be9b41c5dc182a425cd8850d4706435ced9364b94141538c5d54"},"schema_version":"1.0","source":{"id":"1708.06361","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06361","created_at":"2026-05-18T00:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06361v2","created_at":"2026-05-18T00:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06361","created_at":"2026-05-18T00:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"NIQGFBB55G35","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NIQGFBB55G35TXD5","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NIQGFBB5","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:a289513e4c182f38bcc8160c9f260bbe0588406527806d8e0ceaabbbbe4545c6","target":"graph","created_at":"2026-05-18T00:28:53Z","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 consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter dS$_4$ and anti-de Sitter AdS$_4$ spaces and construct various solutions to the Yang-Mills equations. On de Sitter space we reduce the Yang-Mills equations via an SU(2)-equivariant ansatz to Newtonian mechanics of a particle moving in ${\\mathbb R}^3$ under the influence of a quartic potential. Then we describe magnetic and electric-magnetic solutions, both Abelian and non-Abelian, all having finite energy and finite action. A similar reduction on anti-de Sitter space also yields Yang-Mills solutions with finite energy and a","authors_text":"Alexander D. Popov, Olaf Lechtenfeld, Tatiana A. Ivanova","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-21T18:00:03Z","title":"Finite-action solutions of Yang-Mills equations on de Sitter dS$_4$ and anti-de Sitter AdS$_4$ spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06361","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":"sha256:56568ec23b3e73bbf00ee49f2a79e6e3aca8e92d03d5b86bf29f2d2ea43cd39c","target":"record","created_at":"2026-05-18T00:28:53Z","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":"895b48817c1be1b953d8a9f8ae20769bbc72ec32d03f860bf496f10de2e7676f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-21T18:00:03Z","title_canon_sha256":"c3a12cb5fb21be9b41c5dc182a425cd8850d4706435ced9364b94141538c5d54"},"schema_version":"1.0","source":{"id":"1708.06361","kind":"arxiv","version":2}},"canonical_sha256":"6a2062843de9b7d9dc7d1e1b7e920f40dde269e86a0fc9d0e7687389fadf06c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a2062843de9b7d9dc7d1e1b7e920f40dde269e86a0fc9d0e7687389fadf06c8","first_computed_at":"2026-05-18T00:28:53.024260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:53.024260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ucpCgh7GbuQY9rvtpLcSfL32OjqkhGzM8Kx27hPuvceYpnMTp9HKbFyv4/lgv5B0/yFwHQSqnyIULP7uYtrpDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:53.024632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.06361","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56568ec23b3e73bbf00ee49f2a79e6e3aca8e92d03d5b86bf29f2d2ea43cd39c","sha256:a289513e4c182f38bcc8160c9f260bbe0588406527806d8e0ceaabbbbe4545c6"],"state_sha256":"0795758ab60c9139e79eebb2dc660d4955a648bcd0fef005418cc18137bb2a75"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TdK5nujP5Db14+IPNUxELkqv6SsQI6m5E9Mf+t7yxLWQq0IM+fgFLcy3QBFwgYfa8ps23ny415EIiwuU9bjuDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:54:51.654368Z","bundle_sha256":"98f71783cff960398b40afa1dc51397214e9e2c6e42427e324950d953e9d95fc"}}