{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:76BOFZBRCRQTRB37ZXDNAJZ2NI","short_pith_number":"pith:76BOFZBR","canonical_record":{"source":{"id":"2502.10462","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-12T08:11:55Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"1d0a4c3f6cdb4cd671216f9ffad2b80c4a0fb125e32e739130e3850015e11fd6","abstract_canon_sha256":"7fd5e8977c6bbd6470e45a77343f05f491befe44d49ea66683c328f206f11abb"},"schema_version":"1.0"},"canonical_sha256":"ff82e2e431146138877fcdc6d0273a6a1318e25eda0c4a4f45a9bb31872f8118","source":{"kind":"arxiv","id":"2502.10462","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.10462","created_at":"2026-07-05T11:31:04Z"},{"alias_kind":"arxiv_version","alias_value":"2502.10462v2","created_at":"2026-07-05T11:31:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.10462","created_at":"2026-07-05T11:31:04Z"},{"alias_kind":"pith_short_12","alias_value":"76BOFZBRCRQT","created_at":"2026-07-05T11:31:04Z"},{"alias_kind":"pith_short_16","alias_value":"76BOFZBRCRQTRB37","created_at":"2026-07-05T11:31:04Z"},{"alias_kind":"pith_short_8","alias_value":"76BOFZBR","created_at":"2026-07-05T11:31:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:76BOFZBRCRQTRB37ZXDNAJZ2NI","target":"record","payload":{"canonical_record":{"source":{"id":"2502.10462","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-12T08:11:55Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"1d0a4c3f6cdb4cd671216f9ffad2b80c4a0fb125e32e739130e3850015e11fd6","abstract_canon_sha256":"7fd5e8977c6bbd6470e45a77343f05f491befe44d49ea66683c328f206f11abb"},"schema_version":"1.0"},"canonical_sha256":"ff82e2e431146138877fcdc6d0273a6a1318e25eda0c4a4f45a9bb31872f8118","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:31:04.902559Z","signature_b64":"i6ftRVVb/9y4tmwdmklOsWkL1Tp6r5W5gpgF1j6g4edVS3UyXNpKz67L/xK5n1EH7Ve8RzShgLrN2+pl4CxyDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff82e2e431146138877fcdc6d0273a6a1318e25eda0c4a4f45a9bb31872f8118","last_reissued_at":"2026-07-05T11:31:04.902003Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:31:04.902003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.10462","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":"2026-07-05T11:31:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QUcqEv1v2m1IcGKlknh6ucQRcWW72yiZ31JQUEPDCTXN48wmWYSpNDRUFFM6iTFbAQBGlcXQhYXkN3xU6ez/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:49:27.117713Z"},"content_sha256":"2b17ead987c25a695a43f71c73de60e43a877de1a74903fe5444ac73db11d2d5","schema_version":"1.0","event_id":"sha256:2b17ead987c25a695a43f71c73de60e43a877de1a74903fe5444ac73db11d2d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:76BOFZBRCRQTRB37ZXDNAJZ2NI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anisotropic power-law inflation for the S\\'aez-Ballester theory non-minimally coupled to a vector field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Duy H. Nguyen, J. K. Singh, Phung V. Dong, Tuan Q. Do","submitted_at":"2025-02-12T08:11:55Z","abstract_excerpt":"In this paper, we would like to examine whether the S\\'aez-Ballester theory admits stable and attractive Bianchi type I inflationary solutions in the presence of a non-minimal coupling between scalar and vector fields such as $f^2(\\phi)F_{\\mu\\nu}F^{\\mu\\nu}$. As a result, such a solution will be shown to exist within this theory for a suitable setup of fields. Interestingly, the considered S\\'aez-Ballester theory can be shown to be equivalent to the standard scalar-vector theory via a suitable field redefinition. This means that the obtained solution can be reduced to that derived in an origina"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.10462","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.10462/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":"2026-07-05T11:31:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PtxO+eOhgjBzLfPK4g5zFusmhsWVbqOrJkE49oV3htY9B189ciwrufECalP6zIN0xt0EBBl9BH1xUQsHtnfpDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:49:27.119307Z"},"content_sha256":"d408196fc06ff16d2910184250601b913441abfd0059aea310800b93ffb37d51","schema_version":"1.0","event_id":"sha256:d408196fc06ff16d2910184250601b913441abfd0059aea310800b93ffb37d51"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/76BOFZBRCRQTRB37ZXDNAJZ2NI/bundle.json","state_url":"https://pith.science/pith/76BOFZBRCRQTRB37ZXDNAJZ2NI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/76BOFZBRCRQTRB37ZXDNAJZ2NI/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":"2026-08-04T17:49:27Z","links":{"resolver":"https://pith.science/pith/76BOFZBRCRQTRB37ZXDNAJZ2NI","bundle":"https://pith.science/pith/76BOFZBRCRQTRB37ZXDNAJZ2NI/bundle.json","state":"https://pith.science/pith/76BOFZBRCRQTRB37ZXDNAJZ2NI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/76BOFZBRCRQTRB37ZXDNAJZ2NI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:76BOFZBRCRQTRB37ZXDNAJZ2NI","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":"7fd5e8977c6bbd6470e45a77343f05f491befe44d49ea66683c328f206f11abb","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-12T08:11:55Z","title_canon_sha256":"1d0a4c3f6cdb4cd671216f9ffad2b80c4a0fb125e32e739130e3850015e11fd6"},"schema_version":"1.0","source":{"id":"2502.10462","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.10462","created_at":"2026-07-05T11:31:04Z"},{"alias_kind":"arxiv_version","alias_value":"2502.10462v2","created_at":"2026-07-05T11:31:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.10462","created_at":"2026-07-05T11:31:04Z"},{"alias_kind":"pith_short_12","alias_value":"76BOFZBRCRQT","created_at":"2026-07-05T11:31:04Z"},{"alias_kind":"pith_short_16","alias_value":"76BOFZBRCRQTRB37","created_at":"2026-07-05T11:31:04Z"},{"alias_kind":"pith_short_8","alias_value":"76BOFZBR","created_at":"2026-07-05T11:31:04Z"}],"graph_snapshots":[{"event_id":"sha256:d408196fc06ff16d2910184250601b913441abfd0059aea310800b93ffb37d51","target":"graph","created_at":"2026-07-05T11:31:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.10462/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we would like to examine whether the S\\'aez-Ballester theory admits stable and attractive Bianchi type I inflationary solutions in the presence of a non-minimal coupling between scalar and vector fields such as $f^2(\\phi)F_{\\mu\\nu}F^{\\mu\\nu}$. As a result, such a solution will be shown to exist within this theory for a suitable setup of fields. Interestingly, the considered S\\'aez-Ballester theory can be shown to be equivalent to the standard scalar-vector theory via a suitable field redefinition. This means that the obtained solution can be reduced to that derived in an origina","authors_text":"Duy H. Nguyen, J. K. Singh, Phung V. Dong, Tuan Q. Do","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-12T08:11:55Z","title":"Anisotropic power-law inflation for the S\\'aez-Ballester theory non-minimally coupled to a vector field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.10462","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":"sha256:2b17ead987c25a695a43f71c73de60e43a877de1a74903fe5444ac73db11d2d5","target":"record","created_at":"2026-07-05T11:31:04Z","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":"7fd5e8977c6bbd6470e45a77343f05f491befe44d49ea66683c328f206f11abb","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-12T08:11:55Z","title_canon_sha256":"1d0a4c3f6cdb4cd671216f9ffad2b80c4a0fb125e32e739130e3850015e11fd6"},"schema_version":"1.0","source":{"id":"2502.10462","kind":"arxiv","version":2}},"canonical_sha256":"ff82e2e431146138877fcdc6d0273a6a1318e25eda0c4a4f45a9bb31872f8118","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff82e2e431146138877fcdc6d0273a6a1318e25eda0c4a4f45a9bb31872f8118","first_computed_at":"2026-07-05T11:31:04.902003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:31:04.902003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i6ftRVVb/9y4tmwdmklOsWkL1Tp6r5W5gpgF1j6g4edVS3UyXNpKz67L/xK5n1EH7Ve8RzShgLrN2+pl4CxyDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:31:04.902559Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.10462","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b17ead987c25a695a43f71c73de60e43a877de1a74903fe5444ac73db11d2d5","sha256:d408196fc06ff16d2910184250601b913441abfd0059aea310800b93ffb37d51"],"state_sha256":"8fd811ec4ab2a8eddfadf87ea45c73cdbf527ad65841dd4f1339fed04a48ddba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U67QdKIrpnYmKKGNnYN4V5VlnbQFDOGZxo8Y7CM+tYSrLbgujjycNLOoa53Vi5KiizTCctlD298HxYPbAuu/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T17:49:27.160189Z","bundle_sha256":"ad1d59d3379c732be9951ad6acfbf9ebe82bdaf21f6611c431411ad162ef784d"}}