{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:P7SPM2QVM6SRE5XXZJLK5HB5N4","short_pith_number":"pith:P7SPM2QV","canonical_record":{"source":{"id":"1308.2221","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-11T08:30:52Z","cross_cats_sorted":[],"title_canon_sha256":"9563bf53d72c5f35ade18c3f7d73f85da2f4c23c61c54d32b64a5af4021001f5","abstract_canon_sha256":"1459a76b9d5387c8d2e12e32acc28d2073a2d5587293ff733adeb7e8e5aee5e1"},"schema_version":"1.0"},"canonical_sha256":"7fe4f66a1567a51276f7ca56ae9c3d6f085054c6204ee5ace584ecfe4048ddb4","source":{"kind":"arxiv","id":"1308.2221","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2221","created_at":"2026-05-18T03:07:44Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2221v1","created_at":"2026-05-18T03:07:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2221","created_at":"2026-05-18T03:07:44Z"},{"alias_kind":"pith_short_12","alias_value":"P7SPM2QVM6SR","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"P7SPM2QVM6SRE5XX","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"P7SPM2QV","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:P7SPM2QVM6SRE5XXZJLK5HB5N4","target":"record","payload":{"canonical_record":{"source":{"id":"1308.2221","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-11T08:30:52Z","cross_cats_sorted":[],"title_canon_sha256":"9563bf53d72c5f35ade18c3f7d73f85da2f4c23c61c54d32b64a5af4021001f5","abstract_canon_sha256":"1459a76b9d5387c8d2e12e32acc28d2073a2d5587293ff733adeb7e8e5aee5e1"},"schema_version":"1.0"},"canonical_sha256":"7fe4f66a1567a51276f7ca56ae9c3d6f085054c6204ee5ace584ecfe4048ddb4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:44.198693Z","signature_b64":"rQgZczd8Bq0CpA2fgtg2akBzhesigC2ClQ2nCrPd47y/Ib1yiLbkKFxt2+EOmSPh/k9y38FUkBqeaQ3RcC2vCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fe4f66a1567a51276f7ca56ae9c3d6f085054c6204ee5ace584ecfe4048ddb4","last_reissued_at":"2026-05-18T03:07:44.198095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:44.198095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.2221","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":"2026-05-18T03:07:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mKaHzOgfuANjGG9wMcG2BBBjcPvmTZKJgnk1rni10k88mANUUJC34agi/ihhUuf0OamloIvBzcrRtKZ+fS8KAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:48:30.680628Z"},"content_sha256":"976ded918f56fb71ae2bd808750cbab0daee2f75589218edd1c5068e7e73d86c","schema_version":"1.0","event_id":"sha256:976ded918f56fb71ae2bd808750cbab0daee2f75589218edd1c5068e7e73d86c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:P7SPM2QVM6SRE5XXZJLK5HB5N4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noether gauge symmetry approach in quintom cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Adnan Aslam, Davood Momeni, Mubasher Jamil, Muhammad Raza, Muneer Ahmad Rashid, Ratbay Myrzakulov","submitted_at":"2013-08-11T08:30:52Z","abstract_excerpt":"In literature usual point like symmetries of the Lagrangian have been introduced to study the symmetries and the structure of the fields. This kind of Noether symmetry is a subclass of a more general family of symmetries, called Noether Gauge Symmetries (NGS). Motivated by this mathematical tool, in this article, we discuss the generalized Noether symmetry of Quintom model of dark energy, which is a two component fluid model of quintessence and phantom fields. Our model is a generalization of the Noether symmetries of a single and multiple components which have been investigated in detail befo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2221","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":"2026-05-18T03:07:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QT20YkvFEl3jgu5XXNpwsSL7qlgvscKe/3Uh2pD0dWioQb+HUlLRzBjm9gtWtRUDZ5C9aBaoODBl/7ALVZiWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:48:30.681260Z"},"content_sha256":"e00fdfbb3e370a594c8ef1b015db84fb7806521e7c39ef7f5a51452756a357cd","schema_version":"1.0","event_id":"sha256:e00fdfbb3e370a594c8ef1b015db84fb7806521e7c39ef7f5a51452756a357cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P7SPM2QVM6SRE5XXZJLK5HB5N4/bundle.json","state_url":"https://pith.science/pith/P7SPM2QVM6SRE5XXZJLK5HB5N4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P7SPM2QVM6SRE5XXZJLK5HB5N4/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":"2026-05-31T07:48:30Z","links":{"resolver":"https://pith.science/pith/P7SPM2QVM6SRE5XXZJLK5HB5N4","bundle":"https://pith.science/pith/P7SPM2QVM6SRE5XXZJLK5HB5N4/bundle.json","state":"https://pith.science/pith/P7SPM2QVM6SRE5XXZJLK5HB5N4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P7SPM2QVM6SRE5XXZJLK5HB5N4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:P7SPM2QVM6SRE5XXZJLK5HB5N4","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":"1459a76b9d5387c8d2e12e32acc28d2073a2d5587293ff733adeb7e8e5aee5e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-11T08:30:52Z","title_canon_sha256":"9563bf53d72c5f35ade18c3f7d73f85da2f4c23c61c54d32b64a5af4021001f5"},"schema_version":"1.0","source":{"id":"1308.2221","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2221","created_at":"2026-05-18T03:07:44Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2221v1","created_at":"2026-05-18T03:07:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2221","created_at":"2026-05-18T03:07:44Z"},{"alias_kind":"pith_short_12","alias_value":"P7SPM2QVM6SR","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"P7SPM2QVM6SRE5XX","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"P7SPM2QV","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:e00fdfbb3e370a594c8ef1b015db84fb7806521e7c39ef7f5a51452756a357cd","target":"graph","created_at":"2026-05-18T03:07:44Z","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":"In literature usual point like symmetries of the Lagrangian have been introduced to study the symmetries and the structure of the fields. This kind of Noether symmetry is a subclass of a more general family of symmetries, called Noether Gauge Symmetries (NGS). Motivated by this mathematical tool, in this article, we discuss the generalized Noether symmetry of Quintom model of dark energy, which is a two component fluid model of quintessence and phantom fields. Our model is a generalization of the Noether symmetries of a single and multiple components which have been investigated in detail befo","authors_text":"Adnan Aslam, Davood Momeni, Mubasher Jamil, Muhammad Raza, Muneer Ahmad Rashid, Ratbay Myrzakulov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-11T08:30:52Z","title":"Noether gauge symmetry approach in quintom cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2221","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":"sha256:976ded918f56fb71ae2bd808750cbab0daee2f75589218edd1c5068e7e73d86c","target":"record","created_at":"2026-05-18T03:07:44Z","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":"1459a76b9d5387c8d2e12e32acc28d2073a2d5587293ff733adeb7e8e5aee5e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-11T08:30:52Z","title_canon_sha256":"9563bf53d72c5f35ade18c3f7d73f85da2f4c23c61c54d32b64a5af4021001f5"},"schema_version":"1.0","source":{"id":"1308.2221","kind":"arxiv","version":1}},"canonical_sha256":"7fe4f66a1567a51276f7ca56ae9c3d6f085054c6204ee5ace584ecfe4048ddb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fe4f66a1567a51276f7ca56ae9c3d6f085054c6204ee5ace584ecfe4048ddb4","first_computed_at":"2026-05-18T03:07:44.198095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:44.198095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rQgZczd8Bq0CpA2fgtg2akBzhesigC2ClQ2nCrPd47y/Ib1yiLbkKFxt2+EOmSPh/k9y38FUkBqeaQ3RcC2vCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:44.198693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.2221","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:976ded918f56fb71ae2bd808750cbab0daee2f75589218edd1c5068e7e73d86c","sha256:e00fdfbb3e370a594c8ef1b015db84fb7806521e7c39ef7f5a51452756a357cd"],"state_sha256":"9bc53d099d8b1ab7a1dd39550f4f2fcafb9976327fbddf6f9cb8d7acccebcf20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MvQ+6gdXdUuwqnpahDSgJT45TDrS3IYx+9z9FyFWLftTToMUZFBHDHWf/PFpaPl5SIMohQMIsdZs9dILHQ/qCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:48:30.684719Z","bundle_sha256":"307f981a4ef7df5ab6e46f9a998040d07c8d49157ed8d2f7b47c9b1afc15890f"}}