{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:PMJGGZYTIHJEQGAJAPWB6XHXGB","short_pith_number":"pith:PMJGGZYT","canonical_record":{"source":{"id":"astro-ph/0107171","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2001-07-10T07:17:04Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"b9a1acfd5025701bb78db42a669aefa144f5e164a57c87382fabf35b371b176a","abstract_canon_sha256":"53ae3b3294be0ef49e3e24bc44b0e5fdf34040b21a5d4fbb1b28da3b875d4c8f"},"schema_version":"1.0"},"canonical_sha256":"7b1263671341d248180903ec1f5cf7306d19fd4a130d360729b7a03854bba2f6","source":{"kind":"arxiv","id":"astro-ph/0107171","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0107171","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0107171v3","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0107171","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"pith_short_12","alias_value":"PMJGGZYTIHJE","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"pith_short_16","alias_value":"PMJGGZYTIHJEQGAJ","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"pith_short_8","alias_value":"PMJGGZYT","created_at":"2026-07-04T16:23:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:PMJGGZYTIHJEQGAJAPWB6XHXGB","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0107171","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2001-07-10T07:17:04Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"b9a1acfd5025701bb78db42a669aefa144f5e164a57c87382fabf35b371b176a","abstract_canon_sha256":"53ae3b3294be0ef49e3e24bc44b0e5fdf34040b21a5d4fbb1b28da3b875d4c8f"},"schema_version":"1.0"},"canonical_sha256":"7b1263671341d248180903ec1f5cf7306d19fd4a130d360729b7a03854bba2f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:23:41.048755Z","signature_b64":"jzRUC3CoSW1JvsPnnKEcLygHJNnamEqSmftfcRVWPSr+5R2KBr2OMf4rPIyBCLe6tzXint5QysKJ5FnzUrKTDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b1263671341d248180903ec1f5cf7306d19fd4a130d360729b7a03854bba2f6","last_reissued_at":"2026-07-04T16:23:41.048352Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:23:41.048352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0107171","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":"2026-07-04T16:23:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PT/Y8eiah3dHFvKYPyRKy6J2ig+LkD30iIZpeDrRPNwewUmsCNHCsbSL0LyGEOezRIp4g5Rv4uWi34/mstRICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T11:18:21.087544Z"},"content_sha256":"eeea29dd101822fba6649717834620882e03e76e302d3162944298ed3f72498d","schema_version":"1.0","event_id":"sha256:eeea29dd101822fba6649717834620882e03e76e302d3162944298ed3f72498d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:PMJGGZYTIHJEQGAJAPWB6XHXGB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"O(N) quintessence","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph","authors_text":"Dao-jun Liu, Jian-gang Hao, Xin-zhou Li","submitted_at":"2001-07-10T07:17:04Z","abstract_excerpt":"We study a new class of quintessence models, in which the scalar field possesses a O(\\textit{N}) internal symmetry. We give a critical condition of instability for the potential against Q ball formation. We find that the most widely used potentials of quintessence don't satisfy the above condition, and therefore the O(\\textit{N}) quintessence with these potential will not lead to the Q ball formation. It is worth noting that O(\\textit{N}) quintessence with cosine-type potential is especially interesting in that the angular contribution is not negligible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0107171","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0107171/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":"2026-07-04T16:23:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yy7cGYCfqhPcwd3xWJFbjO0DzfKsCk1/rTDBcrVpEI7DriRX7GSaW824+jFrYYPLe/GJHT4PJqnIhUyFdP4hCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T11:18:21.088115Z"},"content_sha256":"096c9741cf63dbdb8eff0e0d6c67905ac1df803521a36f718f18eb598094b90e","schema_version":"1.0","event_id":"sha256:096c9741cf63dbdb8eff0e0d6c67905ac1df803521a36f718f18eb598094b90e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PMJGGZYTIHJEQGAJAPWB6XHXGB/bundle.json","state_url":"https://pith.science/pith/PMJGGZYTIHJEQGAJAPWB6XHXGB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PMJGGZYTIHJEQGAJAPWB6XHXGB/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":"2026-08-19T11:18:21Z","links":{"resolver":"https://pith.science/pith/PMJGGZYTIHJEQGAJAPWB6XHXGB","bundle":"https://pith.science/pith/PMJGGZYTIHJEQGAJAPWB6XHXGB/bundle.json","state":"https://pith.science/pith/PMJGGZYTIHJEQGAJAPWB6XHXGB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PMJGGZYTIHJEQGAJAPWB6XHXGB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:PMJGGZYTIHJEQGAJAPWB6XHXGB","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":"53ae3b3294be0ef49e3e24bc44b0e5fdf34040b21a5d4fbb1b28da3b875d4c8f","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"2001-07-10T07:17:04Z","title_canon_sha256":"b9a1acfd5025701bb78db42a669aefa144f5e164a57c87382fabf35b371b176a"},"schema_version":"1.0","source":{"id":"astro-ph/0107171","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0107171","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0107171v3","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0107171","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"pith_short_12","alias_value":"PMJGGZYTIHJE","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"pith_short_16","alias_value":"PMJGGZYTIHJEQGAJ","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"pith_short_8","alias_value":"PMJGGZYT","created_at":"2026-07-04T16:23:41Z"}],"graph_snapshots":[{"event_id":"sha256:096c9741cf63dbdb8eff0e0d6c67905ac1df803521a36f718f18eb598094b90e","target":"graph","created_at":"2026-07-04T16:23:41Z","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/astro-ph/0107171/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a new class of quintessence models, in which the scalar field possesses a O(\\textit{N}) internal symmetry. We give a critical condition of instability for the potential against Q ball formation. We find that the most widely used potentials of quintessence don't satisfy the above condition, and therefore the O(\\textit{N}) quintessence with these potential will not lead to the Q ball formation. It is worth noting that O(\\textit{N}) quintessence with cosine-type potential is especially interesting in that the angular contribution is not negligible.","authors_text":"Dao-jun Liu, Jian-gang Hao, Xin-zhou Li","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2001-07-10T07:17:04Z","title":"O(N) quintessence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0107171","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:eeea29dd101822fba6649717834620882e03e76e302d3162944298ed3f72498d","target":"record","created_at":"2026-07-04T16:23:41Z","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":"53ae3b3294be0ef49e3e24bc44b0e5fdf34040b21a5d4fbb1b28da3b875d4c8f","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"2001-07-10T07:17:04Z","title_canon_sha256":"b9a1acfd5025701bb78db42a669aefa144f5e164a57c87382fabf35b371b176a"},"schema_version":"1.0","source":{"id":"astro-ph/0107171","kind":"arxiv","version":3}},"canonical_sha256":"7b1263671341d248180903ec1f5cf7306d19fd4a130d360729b7a03854bba2f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b1263671341d248180903ec1f5cf7306d19fd4a130d360729b7a03854bba2f6","first_computed_at":"2026-07-04T16:23:41.048352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:23:41.048352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jzRUC3CoSW1JvsPnnKEcLygHJNnamEqSmftfcRVWPSr+5R2KBr2OMf4rPIyBCLe6tzXint5QysKJ5FnzUrKTDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:23:41.048755Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0107171","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eeea29dd101822fba6649717834620882e03e76e302d3162944298ed3f72498d","sha256:096c9741cf63dbdb8eff0e0d6c67905ac1df803521a36f718f18eb598094b90e"],"state_sha256":"0740342de26bb60f37f84e39e88b1c172db645dc7204eb72334b447d0c43b5f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m4sAg8SIE8tbDT96yKxfmYCmYSx2ciVG+dx9rhnNwAww0u6xGLncqPKx/ZUuyUk+FY0wOfWaS1AfpyoTpapJDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T11:18:21.092614Z","bundle_sha256":"146f4eaa7a6552e21d0b6d4f7cfc812171381c484a0feb9e659bd103d5b5def1"}}