{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DWDLRHW2DJ6HZO5FW2EUMJGZ6R","short_pith_number":"pith:DWDLRHW2","canonical_record":{"source":{"id":"1308.4069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-19T16:25:13Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"578d0362965dabbfcdf0b93dc9163cffa9c520a0a300232c835aa0441d25e4c2","abstract_canon_sha256":"08cb2c29b1edaa86f1d585ae51ddb620b3788fa4988413b4ef9172f9815390ba"},"schema_version":"1.0"},"canonical_sha256":"1d86b89eda1a7c7cbba5b6894624d9f45cc8683183f07b7cc493fb406482de5e","source":{"kind":"arxiv","id":"1308.4069","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4069","created_at":"2026-05-18T02:58:23Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4069v1","created_at":"2026-05-18T02:58:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4069","created_at":"2026-05-18T02:58:23Z"},{"alias_kind":"pith_short_12","alias_value":"DWDLRHW2DJ6H","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DWDLRHW2DJ6HZO5F","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DWDLRHW2","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DWDLRHW2DJ6HZO5FW2EUMJGZ6R","target":"record","payload":{"canonical_record":{"source":{"id":"1308.4069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-19T16:25:13Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"578d0362965dabbfcdf0b93dc9163cffa9c520a0a300232c835aa0441d25e4c2","abstract_canon_sha256":"08cb2c29b1edaa86f1d585ae51ddb620b3788fa4988413b4ef9172f9815390ba"},"schema_version":"1.0"},"canonical_sha256":"1d86b89eda1a7c7cbba5b6894624d9f45cc8683183f07b7cc493fb406482de5e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:23.438137Z","signature_b64":"ndvVtUYabVvIkQ3BlUwi1WAAGsKy1vMEXAfUVpxNiSNpFtZGDiV19dawJAgB0Hy13vYidM/BUT278hrzRDEeAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d86b89eda1a7c7cbba5b6894624d9f45cc8683183f07b7cc493fb406482de5e","last_reissued_at":"2026-05-18T02:58:23.437591Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:23.437591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.4069","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":"2026-05-18T02:58:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VMqCb4eFeULbDBvVjUSVxuJx88VBAbvUYg4yezJ1feN5xlOX7YDZtxFY/AQn9gbfj8NcLWIXkBCZc5sx2XijDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:43:23.670466Z"},"content_sha256":"04e5095728483e332fe69c7217ff162959cfc784e687a826269b5597471c0ae2","schema_version":"1.0","event_id":"sha256:04e5095728483e332fe69c7217ff162959cfc784e687a826269b5597471c0ae2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DWDLRHW2DJ6HZO5FW2EUMJGZ6R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scalar Field Cosmology -- Geometry of Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Aleksander Stachowski, Marek Szydlowski, Orest Hrycyna","submitted_at":"2013-08-19T16:25:13Z","abstract_excerpt":"We study the Scalar Field Cosmology (SFC) using the geometric language of the phase space. We define and study an ensemble of dynamical systems as a Banach space with a Sobolev metric. The metric in the ensemble is used to measure a distance between different models. We point out the advantages of visualisation of dynamics in the phase space. It is investigated the genericity of some class of models in the context of fine tuning of the form of the potential function in the ensemble of SFC.\n  We also study the symmetries of dynamical systems of SFC by searching for their exact solutions. In thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4069","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":"2026-05-18T02:58:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D/lh8w3Adimy5n4xzczNo9vobfgBPgDFIzVGnyq6ap5dXrWQogK3RTDEeMr6tI2W6pdWG2t0x5D7ikvb8cnlAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:43:23.670810Z"},"content_sha256":"c1f154f8ad1a3812d2ea6c9c0aa70cc083de89fa56df3a581a44d61ae16ce342","schema_version":"1.0","event_id":"sha256:c1f154f8ad1a3812d2ea6c9c0aa70cc083de89fa56df3a581a44d61ae16ce342"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DWDLRHW2DJ6HZO5FW2EUMJGZ6R/bundle.json","state_url":"https://pith.science/pith/DWDLRHW2DJ6HZO5FW2EUMJGZ6R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DWDLRHW2DJ6HZO5FW2EUMJGZ6R/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":"2026-05-28T22:43:23Z","links":{"resolver":"https://pith.science/pith/DWDLRHW2DJ6HZO5FW2EUMJGZ6R","bundle":"https://pith.science/pith/DWDLRHW2DJ6HZO5FW2EUMJGZ6R/bundle.json","state":"https://pith.science/pith/DWDLRHW2DJ6HZO5FW2EUMJGZ6R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DWDLRHW2DJ6HZO5FW2EUMJGZ6R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DWDLRHW2DJ6HZO5FW2EUMJGZ6R","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":"08cb2c29b1edaa86f1d585ae51ddb620b3788fa4988413b4ef9172f9815390ba","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-19T16:25:13Z","title_canon_sha256":"578d0362965dabbfcdf0b93dc9163cffa9c520a0a300232c835aa0441d25e4c2"},"schema_version":"1.0","source":{"id":"1308.4069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4069","created_at":"2026-05-18T02:58:23Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4069v1","created_at":"2026-05-18T02:58:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4069","created_at":"2026-05-18T02:58:23Z"},{"alias_kind":"pith_short_12","alias_value":"DWDLRHW2DJ6H","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DWDLRHW2DJ6HZO5F","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DWDLRHW2","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:c1f154f8ad1a3812d2ea6c9c0aa70cc083de89fa56df3a581a44d61ae16ce342","target":"graph","created_at":"2026-05-18T02:58:23Z","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":"We study the Scalar Field Cosmology (SFC) using the geometric language of the phase space. We define and study an ensemble of dynamical systems as a Banach space with a Sobolev metric. The metric in the ensemble is used to measure a distance between different models. We point out the advantages of visualisation of dynamics in the phase space. It is investigated the genericity of some class of models in the context of fine tuning of the form of the potential function in the ensemble of SFC.\n  We also study the symmetries of dynamical systems of SFC by searching for their exact solutions. In thi","authors_text":"Aleksander Stachowski, Marek Szydlowski, Orest Hrycyna","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-19T16:25:13Z","title":"Scalar Field Cosmology -- Geometry of Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4069","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":"sha256:04e5095728483e332fe69c7217ff162959cfc784e687a826269b5597471c0ae2","target":"record","created_at":"2026-05-18T02:58:23Z","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":"08cb2c29b1edaa86f1d585ae51ddb620b3788fa4988413b4ef9172f9815390ba","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-19T16:25:13Z","title_canon_sha256":"578d0362965dabbfcdf0b93dc9163cffa9c520a0a300232c835aa0441d25e4c2"},"schema_version":"1.0","source":{"id":"1308.4069","kind":"arxiv","version":1}},"canonical_sha256":"1d86b89eda1a7c7cbba5b6894624d9f45cc8683183f07b7cc493fb406482de5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d86b89eda1a7c7cbba5b6894624d9f45cc8683183f07b7cc493fb406482de5e","first_computed_at":"2026-05-18T02:58:23.437591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:23.437591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ndvVtUYabVvIkQ3BlUwi1WAAGsKy1vMEXAfUVpxNiSNpFtZGDiV19dawJAgB0Hy13vYidM/BUT278hrzRDEeAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:23.438137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.4069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04e5095728483e332fe69c7217ff162959cfc784e687a826269b5597471c0ae2","sha256:c1f154f8ad1a3812d2ea6c9c0aa70cc083de89fa56df3a581a44d61ae16ce342"],"state_sha256":"8616e66b7094547028e28aab3ca4917e998b68c89daeb064b577a9790b310c2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mWemTiiY3OulDnRjrTFv6K0Ib/pkfv+wXcEGuWpSPBVXPj0/YlrG79fpLkZoD0gKCCE4bqoltUaaOfhbYsurCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:43:23.672963Z","bundle_sha256":"54653d53b93d4db506b508f278b7d48b5989a9fe3210487433130aceb018b886"}}