{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OR7NL6H2MWI3RJQA2HBYCHCVXW","short_pith_number":"pith:OR7NL6H2","canonical_record":{"source":{"id":"1001.0220","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-01T10:34:34Z","cross_cats_sorted":[],"title_canon_sha256":"1a99e66e7a9853c26c1ecd086f848792ac8d5a4278efc04be138b62d99bf505d","abstract_canon_sha256":"5ab469dc0e891ecdec7a72c05020208e708781faa02dd9576eb6029c7afa04ad"},"schema_version":"1.0"},"canonical_sha256":"747ed5f8fa6591b8a600d1c3811c55bd9e67af66a0b458fa9345d992a2887b4f","source":{"kind":"arxiv","id":"1001.0220","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0220","created_at":"2026-07-04T17:27:38Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0220v1","created_at":"2026-07-04T17:27:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0220","created_at":"2026-07-04T17:27:38Z"},{"alias_kind":"pith_short_12","alias_value":"OR7NL6H2MWI3","created_at":"2026-07-04T17:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"OR7NL6H2MWI3RJQA","created_at":"2026-07-04T17:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"OR7NL6H2","created_at":"2026-07-04T17:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OR7NL6H2MWI3RJQA2HBYCHCVXW","target":"record","payload":{"canonical_record":{"source":{"id":"1001.0220","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-01T10:34:34Z","cross_cats_sorted":[],"title_canon_sha256":"1a99e66e7a9853c26c1ecd086f848792ac8d5a4278efc04be138b62d99bf505d","abstract_canon_sha256":"5ab469dc0e891ecdec7a72c05020208e708781faa02dd9576eb6029c7afa04ad"},"schema_version":"1.0"},"canonical_sha256":"747ed5f8fa6591b8a600d1c3811c55bd9e67af66a0b458fa9345d992a2887b4f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:27:38.409135Z","signature_b64":"3nuQplzXCpCBBIz2hIs6Ugq9oEyOZnBz+uk7jHwllSjCetS8F1tRbe8EGkSLwNS+KkU9xdcBt2UDQg7b/0fpAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"747ed5f8fa6591b8a600d1c3811c55bd9e67af66a0b458fa9345d992a2887b4f","last_reissued_at":"2026-07-04T17:27:38.408728Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:27:38.408728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.0220","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":"2026-07-04T17:27:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A8XptcoOuGuoKQ+Qn4Gjws/CCUX43EA3TJD45/hD/USlCLGmHRQbA6T/5Nqfp6GgZxvioJm0W/DlaarvMiqwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:56:11.892717Z"},"content_sha256":"130be283c1052421e1165e6923b9a790d9ff23f1c7969d7b36f11bdad5c2272a","schema_version":"1.0","event_id":"sha256:130be283c1052421e1165e6923b9a790d9ff23f1c7969d7b36f11bdad5c2272a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OR7NL6H2MWI3RJQA2HBYCHCVXW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reconstruction of k-essence model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jiro Matsumoto, Shin'ichi Nojiri","submitted_at":"2010-01-01T10:34:34Z","abstract_excerpt":"We explicitly construct the k-essence models which reproduce the arbitrary FRW cosmology, that is, the arbitrary time-development of the scale factor or the Hubble rate. The k-essence model includes scalar quintessence model, tachyon dark energy model, ghost condensation model as special cases. Explicit formulas of the reconstruction are given. First we consider the case that the action only contains the kinetic term. In this case, we find that the model reproducing the development of the universe in the exact $\\Lambda$CDM model cannot be constructed although there is a model which reproduces "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0220","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1001.0220/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":"2026-07-04T17:27:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OvUmC0rHaOl/mKODeKKJOL21e789KXCgA+7Xs8rZFpkkjF0jvHK0yvtcUiax2zcfK2PLXFIKzsnJzAltYmITCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:56:11.893229Z"},"content_sha256":"78095555f2f8a9e5bbeba81f508715c3f007de0c506dac43f2fe59561201a310","schema_version":"1.0","event_id":"sha256:78095555f2f8a9e5bbeba81f508715c3f007de0c506dac43f2fe59561201a310"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OR7NL6H2MWI3RJQA2HBYCHCVXW/bundle.json","state_url":"https://pith.science/pith/OR7NL6H2MWI3RJQA2HBYCHCVXW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OR7NL6H2MWI3RJQA2HBYCHCVXW/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":"2026-08-03T18:56:11Z","links":{"resolver":"https://pith.science/pith/OR7NL6H2MWI3RJQA2HBYCHCVXW","bundle":"https://pith.science/pith/OR7NL6H2MWI3RJQA2HBYCHCVXW/bundle.json","state":"https://pith.science/pith/OR7NL6H2MWI3RJQA2HBYCHCVXW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OR7NL6H2MWI3RJQA2HBYCHCVXW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OR7NL6H2MWI3RJQA2HBYCHCVXW","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":"5ab469dc0e891ecdec7a72c05020208e708781faa02dd9576eb6029c7afa04ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-01T10:34:34Z","title_canon_sha256":"1a99e66e7a9853c26c1ecd086f848792ac8d5a4278efc04be138b62d99bf505d"},"schema_version":"1.0","source":{"id":"1001.0220","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0220","created_at":"2026-07-04T17:27:38Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0220v1","created_at":"2026-07-04T17:27:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0220","created_at":"2026-07-04T17:27:38Z"},{"alias_kind":"pith_short_12","alias_value":"OR7NL6H2MWI3","created_at":"2026-07-04T17:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"OR7NL6H2MWI3RJQA","created_at":"2026-07-04T17:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"OR7NL6H2","created_at":"2026-07-04T17:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:78095555f2f8a9e5bbeba81f508715c3f007de0c506dac43f2fe59561201a310","target":"graph","created_at":"2026-07-04T17:27:38Z","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/1001.0220/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explicitly construct the k-essence models which reproduce the arbitrary FRW cosmology, that is, the arbitrary time-development of the scale factor or the Hubble rate. The k-essence model includes scalar quintessence model, tachyon dark energy model, ghost condensation model as special cases. Explicit formulas of the reconstruction are given. First we consider the case that the action only contains the kinetic term. In this case, we find that the model reproducing the development of the universe in the exact $\\Lambda$CDM model cannot be constructed although there is a model which reproduces ","authors_text":"Jiro Matsumoto, Shin'ichi Nojiri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-01T10:34:34Z","title":"Reconstruction of k-essence model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0220","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":"sha256:130be283c1052421e1165e6923b9a790d9ff23f1c7969d7b36f11bdad5c2272a","target":"record","created_at":"2026-07-04T17:27:38Z","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":"5ab469dc0e891ecdec7a72c05020208e708781faa02dd9576eb6029c7afa04ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-01T10:34:34Z","title_canon_sha256":"1a99e66e7a9853c26c1ecd086f848792ac8d5a4278efc04be138b62d99bf505d"},"schema_version":"1.0","source":{"id":"1001.0220","kind":"arxiv","version":1}},"canonical_sha256":"747ed5f8fa6591b8a600d1c3811c55bd9e67af66a0b458fa9345d992a2887b4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"747ed5f8fa6591b8a600d1c3811c55bd9e67af66a0b458fa9345d992a2887b4f","first_computed_at":"2026-07-04T17:27:38.408728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:27:38.408728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3nuQplzXCpCBBIz2hIs6Ugq9oEyOZnBz+uk7jHwllSjCetS8F1tRbe8EGkSLwNS+KkU9xdcBt2UDQg7b/0fpAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:27:38.409135Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.0220","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:130be283c1052421e1165e6923b9a790d9ff23f1c7969d7b36f11bdad5c2272a","sha256:78095555f2f8a9e5bbeba81f508715c3f007de0c506dac43f2fe59561201a310"],"state_sha256":"f9788f6cdb3dd75c85fb43e8c9c2f46b51bacea1d3c0066f835b0cc2d39efff8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n4ztcFU23dqe5zBKu/dTbzET5URu7arN6fGwr26CLv+kin5YA7TmDOFhN5hX3JwQNT186MystIa0A9RPz7MXDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T18:56:11.898318Z","bundle_sha256":"1a42c2738b7d5ecb592aa40b770526b06cb65a2b5f5c79558f1d873615c0121a"}}