{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:SM76HS5NIDRG2VVBW7L4RXPFG2","short_pith_number":"pith:SM76HS5N","canonical_record":{"source":{"id":"2107.05771","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-07-12T22:58:17Z","cross_cats_sorted":["astro-ph.GA","gr-qc"],"title_canon_sha256":"3e42f0a64bb72f8b7522c7a130e8fa18c234d0124f3960c330c6df88f60177d5","abstract_canon_sha256":"3fd8d7e1c5d94459f466c8ca34246fd0ba6fd2d0a9fa29be06d602c440af63e4"},"schema_version":"1.0"},"canonical_sha256":"933fe3cbad40e26d56a1b7d7c8dde536b5a331f2b8f1ec561991db98d21c6367","source":{"kind":"arxiv","id":"2107.05771","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.05771","created_at":"2026-07-05T05:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"2107.05771v3","created_at":"2026-07-05T05:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.05771","created_at":"2026-07-05T05:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"SM76HS5NIDRG","created_at":"2026-07-05T05:11:08Z"},{"alias_kind":"pith_short_16","alias_value":"SM76HS5NIDRG2VVB","created_at":"2026-07-05T05:11:08Z"},{"alias_kind":"pith_short_8","alias_value":"SM76HS5N","created_at":"2026-07-05T05:11:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:SM76HS5NIDRG2VVBW7L4RXPFG2","target":"record","payload":{"canonical_record":{"source":{"id":"2107.05771","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-07-12T22:58:17Z","cross_cats_sorted":["astro-ph.GA","gr-qc"],"title_canon_sha256":"3e42f0a64bb72f8b7522c7a130e8fa18c234d0124f3960c330c6df88f60177d5","abstract_canon_sha256":"3fd8d7e1c5d94459f466c8ca34246fd0ba6fd2d0a9fa29be06d602c440af63e4"},"schema_version":"1.0"},"canonical_sha256":"933fe3cbad40e26d56a1b7d7c8dde536b5a331f2b8f1ec561991db98d21c6367","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:11:08.743085Z","signature_b64":"Fxo/g+FukBySkF+FpHT9B2lwUhsE0+jSMiM9RsHKfHdeo6aSRnMzvxAm1g4FW1Gf77/BeY9WgHGQCAuzQ9iBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"933fe3cbad40e26d56a1b7d7c8dde536b5a331f2b8f1ec561991db98d21c6367","last_reissued_at":"2026-07-05T05:11:08.742664Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:11:08.742664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2107.05771","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":"2026-07-05T05:11:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"axDJts/6LcxwkMnTpQ0IxogzifnWCn35lwejuIBwpNTMnDc9JquniU3uRBfdS6OxEY7FiP4neM30272+V017Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:29:10.389879Z"},"content_sha256":"51e6b72a536c30b092274d62960983c6db486525e1188687bc66604e56aa272a","schema_version":"1.0","event_id":"sha256:51e6b72a536c30b092274d62960983c6db486525e1188687bc66604e56aa272a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:SM76HS5NIDRG2VVBW7L4RXPFG2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deep learning reconstruction of the large scale structure of the Universe from luminosity distance observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Antonio Enea Romano, Camilo Santa, Cristhian Garc\\'ia","submitted_at":"2021-07-12T22:58:17Z","abstract_excerpt":"Supernovae Ia (SNe) can provide a unique window on the large scale structure (LSS) of the Universe at redshifts where few other observations are available, by solving the inversion problem (IP) consisting in reconstructing the LSS from its effects on the observed luminosity distance. So far the IP was solved assuming some restrictions about space-time, such as spherical symmetry for example, while we obtain for the first time solutions of the IP problem for arbitrary space-time geometries using deep learning. The method is based on the use of convolutional neural networks (CNN) trained on simu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.05771","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/2107.05771/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":"2026-07-05T05:11:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mxIx4ZPKWQI9Rrp14ybpHnauxrRWmDTF1E7hTfXQpbGWO+iK/dqnmbBK056hCh4P5ZVVD6NOQxEN2whXQ3RHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:29:10.390466Z"},"content_sha256":"7e6fdb3d2f09d4db8335f7c01dad2c9b3dcc21fa081621a0bfb24fa7644c83bb","schema_version":"1.0","event_id":"sha256:7e6fdb3d2f09d4db8335f7c01dad2c9b3dcc21fa081621a0bfb24fa7644c83bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SM76HS5NIDRG2VVBW7L4RXPFG2/bundle.json","state_url":"https://pith.science/pith/SM76HS5NIDRG2VVBW7L4RXPFG2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SM76HS5NIDRG2VVBW7L4RXPFG2/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":"2026-08-08T09:29:10Z","links":{"resolver":"https://pith.science/pith/SM76HS5NIDRG2VVBW7L4RXPFG2","bundle":"https://pith.science/pith/SM76HS5NIDRG2VVBW7L4RXPFG2/bundle.json","state":"https://pith.science/pith/SM76HS5NIDRG2VVBW7L4RXPFG2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SM76HS5NIDRG2VVBW7L4RXPFG2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:SM76HS5NIDRG2VVBW7L4RXPFG2","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":"3fd8d7e1c5d94459f466c8ca34246fd0ba6fd2d0a9fa29be06d602c440af63e4","cross_cats_sorted":["astro-ph.GA","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-07-12T22:58:17Z","title_canon_sha256":"3e42f0a64bb72f8b7522c7a130e8fa18c234d0124f3960c330c6df88f60177d5"},"schema_version":"1.0","source":{"id":"2107.05771","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.05771","created_at":"2026-07-05T05:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"2107.05771v3","created_at":"2026-07-05T05:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.05771","created_at":"2026-07-05T05:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"SM76HS5NIDRG","created_at":"2026-07-05T05:11:08Z"},{"alias_kind":"pith_short_16","alias_value":"SM76HS5NIDRG2VVB","created_at":"2026-07-05T05:11:08Z"},{"alias_kind":"pith_short_8","alias_value":"SM76HS5N","created_at":"2026-07-05T05:11:08Z"}],"graph_snapshots":[{"event_id":"sha256:7e6fdb3d2f09d4db8335f7c01dad2c9b3dcc21fa081621a0bfb24fa7644c83bb","target":"graph","created_at":"2026-07-05T05:11:08Z","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/2107.05771/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Supernovae Ia (SNe) can provide a unique window on the large scale structure (LSS) of the Universe at redshifts where few other observations are available, by solving the inversion problem (IP) consisting in reconstructing the LSS from its effects on the observed luminosity distance. So far the IP was solved assuming some restrictions about space-time, such as spherical symmetry for example, while we obtain for the first time solutions of the IP problem for arbitrary space-time geometries using deep learning. The method is based on the use of convolutional neural networks (CNN) trained on simu","authors_text":"Antonio Enea Romano, Camilo Santa, Cristhian Garc\\'ia","cross_cats":["astro-ph.GA","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-07-12T22:58:17Z","title":"Deep learning reconstruction of the large scale structure of the Universe from luminosity distance observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.05771","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":"sha256:51e6b72a536c30b092274d62960983c6db486525e1188687bc66604e56aa272a","target":"record","created_at":"2026-07-05T05:11:08Z","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":"3fd8d7e1c5d94459f466c8ca34246fd0ba6fd2d0a9fa29be06d602c440af63e4","cross_cats_sorted":["astro-ph.GA","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-07-12T22:58:17Z","title_canon_sha256":"3e42f0a64bb72f8b7522c7a130e8fa18c234d0124f3960c330c6df88f60177d5"},"schema_version":"1.0","source":{"id":"2107.05771","kind":"arxiv","version":3}},"canonical_sha256":"933fe3cbad40e26d56a1b7d7c8dde536b5a331f2b8f1ec561991db98d21c6367","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"933fe3cbad40e26d56a1b7d7c8dde536b5a331f2b8f1ec561991db98d21c6367","first_computed_at":"2026-07-05T05:11:08.742664Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:11:08.742664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fxo/g+FukBySkF+FpHT9B2lwUhsE0+jSMiM9RsHKfHdeo6aSRnMzvxAm1g4FW1Gf77/BeY9WgHGQCAuzQ9iBDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:11:08.743085Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.05771","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51e6b72a536c30b092274d62960983c6db486525e1188687bc66604e56aa272a","sha256:7e6fdb3d2f09d4db8335f7c01dad2c9b3dcc21fa081621a0bfb24fa7644c83bb"],"state_sha256":"4d182e334272c4928f43650bc78eb43d3403d738b9bcd965274a5a247273d18b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/9F1cRBW4rZAB/w+hNRaZd2pOdC6MWXSDFV9ek4JDKhLWWAJociL4r6NshWqJl76zePeOmdyZA2rV6CLrruXBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:29:10.394296Z","bundle_sha256":"43289c0287e4b883cbefcfe14136bd089bb99c0d648689fa5a7faa569f4541c5"}}