{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:I25FWMQHWB2SLWR4KBFFDIWJXE","short_pith_number":"pith:I25FWMQH","canonical_record":{"source":{"id":"astro-ph/0206298","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2002-06-18T01:53:26Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"11855662df2c35f0012a817d0decb55e0cd961760e81dfed603441c8de413e68","abstract_canon_sha256":"fc077989f75d22e7a291bd60e997b31529959f4c2cc140fcb92703e5f7bd99f6"},"schema_version":"1.0"},"canonical_sha256":"46ba5b3207b07525da3c504a51a2c9b90cb02b5dffdd464274ca29c40ddad333","source":{"kind":"arxiv","id":"astro-ph/0206298","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0206298","created_at":"2026-07-04T16:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0206298v2","created_at":"2026-07-04T16:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0206298","created_at":"2026-07-04T16:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"I25FWMQHWB2S","created_at":"2026-07-04T16:30:13Z"},{"alias_kind":"pith_short_16","alias_value":"I25FWMQHWB2SLWR4","created_at":"2026-07-04T16:30:13Z"},{"alias_kind":"pith_short_8","alias_value":"I25FWMQH","created_at":"2026-07-04T16:30:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:I25FWMQHWB2SLWR4KBFFDIWJXE","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0206298","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2002-06-18T01:53:26Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"11855662df2c35f0012a817d0decb55e0cd961760e81dfed603441c8de413e68","abstract_canon_sha256":"fc077989f75d22e7a291bd60e997b31529959f4c2cc140fcb92703e5f7bd99f6"},"schema_version":"1.0"},"canonical_sha256":"46ba5b3207b07525da3c504a51a2c9b90cb02b5dffdd464274ca29c40ddad333","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:30:13.945098Z","signature_b64":"DmsWjtfe7XNHNZEtjzZuJJ6MssGbqHvgxH3zJMSDx0TMfkEVOtr891cTtNkklqQrnqU+PfKjdR3ewt6fYE5rBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46ba5b3207b07525da3c504a51a2c9b90cb02b5dffdd464274ca29c40ddad333","last_reissued_at":"2026-07-04T16:30:13.944744Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:30:13.944744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0206298","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":"2026-07-04T16:30:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hiDB3vs/wk7nCjG4tg9DEq7BkpzeUlL9kdfRrXF8WbWwg1MHDKEGS547y2HY4wsh9KjkAjQrESZDQZIfncxoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:36:13.073881Z"},"content_sha256":"1c61e2629f7bde564de1a1db7f47b495a3f6174350dbc85772b1ccddee398906","schema_version":"1.0","event_id":"sha256:1c61e2629f7bde564de1a1db7f47b495a3f6174350dbc85772b1ccddee398906"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:I25FWMQHWB2SLWR4KBFFDIWJXE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tracking K-essence","license":"","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"astro-ph","authors_text":"Takeshi Chiba","submitted_at":"2002-06-18T01:53:26Z","abstract_excerpt":"We derive a condition for converging a common evolutionary track for k-essence (a scalar field dark energy with non-canonical kinetic terms). For the Lagrangian density V(phi)W(X) with X=dot{phi}^2/2, we find tracker solutions with w_{phi} < w_B exist if Gamma equivalent V''V/(V')^2 > 3/2. Here w_{phi}(w_B) is the equation-of-state of the scalar field (background radiation/matter).\n  Our condition may be useful for examining the existence of the attractor-like behavior in cosmology with k-essence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0206298","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/astro-ph/0206298/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":"2026-07-04T16:30:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x/0fpelQcHqrXF75ZUHCHJfg92NTrmiRZw1T0wMlXhf3ehBhsku7hHGUT1sYNrgEyrihJyhM83sYwUplx4gUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:36:13.074400Z"},"content_sha256":"b696e4650300d5ad8e1ace9bf91fe3b731b36af73f0d872944b72b4ec70d3e83","schema_version":"1.0","event_id":"sha256:b696e4650300d5ad8e1ace9bf91fe3b731b36af73f0d872944b72b4ec70d3e83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I25FWMQHWB2SLWR4KBFFDIWJXE/bundle.json","state_url":"https://pith.science/pith/I25FWMQHWB2SLWR4KBFFDIWJXE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I25FWMQHWB2SLWR4KBFFDIWJXE/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":"2026-08-04T07:36:13Z","links":{"resolver":"https://pith.science/pith/I25FWMQHWB2SLWR4KBFFDIWJXE","bundle":"https://pith.science/pith/I25FWMQHWB2SLWR4KBFFDIWJXE/bundle.json","state":"https://pith.science/pith/I25FWMQHWB2SLWR4KBFFDIWJXE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I25FWMQHWB2SLWR4KBFFDIWJXE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:I25FWMQHWB2SLWR4KBFFDIWJXE","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":"fc077989f75d22e7a291bd60e997b31529959f4c2cc140fcb92703e5f7bd99f6","cross_cats_sorted":["hep-ph","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2002-06-18T01:53:26Z","title_canon_sha256":"11855662df2c35f0012a817d0decb55e0cd961760e81dfed603441c8de413e68"},"schema_version":"1.0","source":{"id":"astro-ph/0206298","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0206298","created_at":"2026-07-04T16:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0206298v2","created_at":"2026-07-04T16:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0206298","created_at":"2026-07-04T16:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"I25FWMQHWB2S","created_at":"2026-07-04T16:30:13Z"},{"alias_kind":"pith_short_16","alias_value":"I25FWMQHWB2SLWR4","created_at":"2026-07-04T16:30:13Z"},{"alias_kind":"pith_short_8","alias_value":"I25FWMQH","created_at":"2026-07-04T16:30:13Z"}],"graph_snapshots":[{"event_id":"sha256:b696e4650300d5ad8e1ace9bf91fe3b731b36af73f0d872944b72b4ec70d3e83","target":"graph","created_at":"2026-07-04T16:30:13Z","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/0206298/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a condition for converging a common evolutionary track for k-essence (a scalar field dark energy with non-canonical kinetic terms). For the Lagrangian density V(phi)W(X) with X=dot{phi}^2/2, we find tracker solutions with w_{phi} < w_B exist if Gamma equivalent V''V/(V')^2 > 3/2. Here w_{phi}(w_B) is the equation-of-state of the scalar field (background radiation/matter).\n  Our condition may be useful for examining the existence of the attractor-like behavior in cosmology with k-essence.","authors_text":"Takeshi Chiba","cross_cats":["hep-ph","hep-th"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2002-06-18T01:53:26Z","title":"Tracking K-essence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0206298","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":"sha256:1c61e2629f7bde564de1a1db7f47b495a3f6174350dbc85772b1ccddee398906","target":"record","created_at":"2026-07-04T16:30:13Z","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":"fc077989f75d22e7a291bd60e997b31529959f4c2cc140fcb92703e5f7bd99f6","cross_cats_sorted":["hep-ph","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2002-06-18T01:53:26Z","title_canon_sha256":"11855662df2c35f0012a817d0decb55e0cd961760e81dfed603441c8de413e68"},"schema_version":"1.0","source":{"id":"astro-ph/0206298","kind":"arxiv","version":2}},"canonical_sha256":"46ba5b3207b07525da3c504a51a2c9b90cb02b5dffdd464274ca29c40ddad333","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46ba5b3207b07525da3c504a51a2c9b90cb02b5dffdd464274ca29c40ddad333","first_computed_at":"2026-07-04T16:30:13.944744Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:30:13.944744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DmsWjtfe7XNHNZEtjzZuJJ6MssGbqHvgxH3zJMSDx0TMfkEVOtr891cTtNkklqQrnqU+PfKjdR3ewt6fYE5rBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:30:13.945098Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0206298","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c61e2629f7bde564de1a1db7f47b495a3f6174350dbc85772b1ccddee398906","sha256:b696e4650300d5ad8e1ace9bf91fe3b731b36af73f0d872944b72b4ec70d3e83"],"state_sha256":"ab4fda332cef592abe852ff903577259451d0cfd76091459ce6ccbdf3e301983"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o2J6h72T6xtOHX1oQyJnxjPoAXaWR0TiLe0tCh6SkozETe6X8FOsuJRgxeHCDUVyLySuSIhe5aU3WR0VEyBABg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T07:36:13.077988Z","bundle_sha256":"c74cf997982dc1b1d4af24d0f68e75b66d3a16908773485e169e98880525f734"}}