{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:4JMW4K5YL5SUQKBSEOLM33XTE3","short_pith_number":"pith:4JMW4K5Y","canonical_record":{"source":{"id":"2303.17552","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-03-30T17:20:56Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3249253a6e8e1b42e39fdd487ea0b8fd7138a4b70ef1e922e1cfcacf320e6a3a","abstract_canon_sha256":"25971136a5bcd3228fc5afe61311b67dee5bc7485a1cbfee25b2fe3eb5fde46b"},"schema_version":"1.0"},"canonical_sha256":"e2596e2bb85f654828322396cdeef326fa2da5e08d560904465f487055c23b2b","source":{"kind":"arxiv","id":"2303.17552","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.17552","created_at":"2026-07-05T06:08:24Z"},{"alias_kind":"arxiv_version","alias_value":"2303.17552v1","created_at":"2026-07-05T06:08:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.17552","created_at":"2026-07-05T06:08:24Z"},{"alias_kind":"pith_short_12","alias_value":"4JMW4K5YL5SU","created_at":"2026-07-05T06:08:24Z"},{"alias_kind":"pith_short_16","alias_value":"4JMW4K5YL5SUQKBS","created_at":"2026-07-05T06:08:24Z"},{"alias_kind":"pith_short_8","alias_value":"4JMW4K5Y","created_at":"2026-07-05T06:08:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:4JMW4K5YL5SUQKBSEOLM33XTE3","target":"record","payload":{"canonical_record":{"source":{"id":"2303.17552","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-03-30T17:20:56Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3249253a6e8e1b42e39fdd487ea0b8fd7138a4b70ef1e922e1cfcacf320e6a3a","abstract_canon_sha256":"25971136a5bcd3228fc5afe61311b67dee5bc7485a1cbfee25b2fe3eb5fde46b"},"schema_version":"1.0"},"canonical_sha256":"e2596e2bb85f654828322396cdeef326fa2da5e08d560904465f487055c23b2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:08:24.773565Z","signature_b64":"y63YrvCa/ZBPfVSloVhzHqqCupy9RocjyLMurTAAcGfZQaecEP9nsvdJ+49r6L1huLwansCmL+WLGKnfBJg+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2596e2bb85f654828322396cdeef326fa2da5e08d560904465f487055c23b2b","last_reissued_at":"2026-07-05T06:08:24.773113Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:08:24.773113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.17552","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":"2026-07-05T06:08:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I3zrwSHiT59SzE8hwQ2OW/OLwgEt1ECymRJAwcIKrB4jrWZArou0Pk7BW7tAs/842/Z2p6pL9pczrlHTt0a9DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T12:32:40.213961Z"},"content_sha256":"498e5b2ab5f35d5fecc05cf449e9638c6aec983d0c88d75fad9c3945739bd25a","schema_version":"1.0","event_id":"sha256:498e5b2ab5f35d5fecc05cf449e9638c6aec983d0c88d75fad9c3945739bd25a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:4JMW4K5YL5SUQKBSEOLM33XTE3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structure Formation in Non-local Bouncing Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"D. Jackson, R. Bufalo","submitted_at":"2023-03-30T17:20:56Z","abstract_excerpt":"In this study, we investigate the growth of structures within the Deser-Woodard nonlocal theory and extend it to various bouncing cosmology scenarios. Our findings show that the observable structure growth rate, $f\\sigma_8$, in a vacuum-dominated universe is finite within the redshift range of $0<z<2$, contrary to previous literature. Although $f\\sigma_8$ exhibits no divergences, we observe a slight difference between the evolution of the $\\Lambda$CDM and the non-local DW II models. Regarding structure formation in bouncing cosmologies, we evaluate the evolution of $f\\sigma_8$ near the bouncin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.17552","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/2303.17552/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":"2026-07-05T06:08:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v0JSuqgAiokyKXOJ2RbLYelB3MzMYFzdAgmwAwAKnaedG5g+CpyIHKk0e+zEGvh/+2Su75j/DxWoKH0/20OfBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T12:32:40.214814Z"},"content_sha256":"8840dba1f85a6e6b7a5570d95dfbbff62d87b975b61379a12a67ceb31e877e33","schema_version":"1.0","event_id":"sha256:8840dba1f85a6e6b7a5570d95dfbbff62d87b975b61379a12a67ceb31e877e33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4JMW4K5YL5SUQKBSEOLM33XTE3/bundle.json","state_url":"https://pith.science/pith/4JMW4K5YL5SUQKBSEOLM33XTE3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4JMW4K5YL5SUQKBSEOLM33XTE3/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":"2026-08-18T12:32:40Z","links":{"resolver":"https://pith.science/pith/4JMW4K5YL5SUQKBSEOLM33XTE3","bundle":"https://pith.science/pith/4JMW4K5YL5SUQKBSEOLM33XTE3/bundle.json","state":"https://pith.science/pith/4JMW4K5YL5SUQKBSEOLM33XTE3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4JMW4K5YL5SUQKBSEOLM33XTE3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:4JMW4K5YL5SUQKBSEOLM33XTE3","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":"25971136a5bcd3228fc5afe61311b67dee5bc7485a1cbfee25b2fe3eb5fde46b","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-03-30T17:20:56Z","title_canon_sha256":"3249253a6e8e1b42e39fdd487ea0b8fd7138a4b70ef1e922e1cfcacf320e6a3a"},"schema_version":"1.0","source":{"id":"2303.17552","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.17552","created_at":"2026-07-05T06:08:24Z"},{"alias_kind":"arxiv_version","alias_value":"2303.17552v1","created_at":"2026-07-05T06:08:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.17552","created_at":"2026-07-05T06:08:24Z"},{"alias_kind":"pith_short_12","alias_value":"4JMW4K5YL5SU","created_at":"2026-07-05T06:08:24Z"},{"alias_kind":"pith_short_16","alias_value":"4JMW4K5YL5SUQKBS","created_at":"2026-07-05T06:08:24Z"},{"alias_kind":"pith_short_8","alias_value":"4JMW4K5Y","created_at":"2026-07-05T06:08:24Z"}],"graph_snapshots":[{"event_id":"sha256:8840dba1f85a6e6b7a5570d95dfbbff62d87b975b61379a12a67ceb31e877e33","target":"graph","created_at":"2026-07-05T06:08:24Z","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/2303.17552/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this study, we investigate the growth of structures within the Deser-Woodard nonlocal theory and extend it to various bouncing cosmology scenarios. Our findings show that the observable structure growth rate, $f\\sigma_8$, in a vacuum-dominated universe is finite within the redshift range of $0<z<2$, contrary to previous literature. Although $f\\sigma_8$ exhibits no divergences, we observe a slight difference between the evolution of the $\\Lambda$CDM and the non-local DW II models. Regarding structure formation in bouncing cosmologies, we evaluate the evolution of $f\\sigma_8$ near the bouncin","authors_text":"D. Jackson, R. Bufalo","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-03-30T17:20:56Z","title":"Structure Formation in Non-local Bouncing Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.17552","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":"sha256:498e5b2ab5f35d5fecc05cf449e9638c6aec983d0c88d75fad9c3945739bd25a","target":"record","created_at":"2026-07-05T06:08:24Z","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":"25971136a5bcd3228fc5afe61311b67dee5bc7485a1cbfee25b2fe3eb5fde46b","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-03-30T17:20:56Z","title_canon_sha256":"3249253a6e8e1b42e39fdd487ea0b8fd7138a4b70ef1e922e1cfcacf320e6a3a"},"schema_version":"1.0","source":{"id":"2303.17552","kind":"arxiv","version":1}},"canonical_sha256":"e2596e2bb85f654828322396cdeef326fa2da5e08d560904465f487055c23b2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2596e2bb85f654828322396cdeef326fa2da5e08d560904465f487055c23b2b","first_computed_at":"2026-07-05T06:08:24.773113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:08:24.773113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y63YrvCa/ZBPfVSloVhzHqqCupy9RocjyLMurTAAcGfZQaecEP9nsvdJ+49r6L1huLwansCmL+WLGKnfBJg+CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:08:24.773565Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.17552","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:498e5b2ab5f35d5fecc05cf449e9638c6aec983d0c88d75fad9c3945739bd25a","sha256:8840dba1f85a6e6b7a5570d95dfbbff62d87b975b61379a12a67ceb31e877e33"],"state_sha256":"c233f2a144fefcaaf54e23dd20dc0877ce992d9987da6c81c91e5b831c3f61bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sK/Dxh3PPMB7hY0L+5q8u4b3OR22+jXH08gKUAGa8JOs8i7Vx2FOTx36FIN9Naapbnoh8N715ZIJJK3/V/6MAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T12:32:40.220647Z","bundle_sha256":"0da32298f1f5f267e295925aa76e6841f6605ec0ec8eb640622511cfc7b4c914"}}