{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:K6M2DMJJ6JTPMEH6KNWAQSNOUW","short_pith_number":"pith:K6M2DMJJ","canonical_record":{"source":{"id":"1111.5764","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-24T13:56:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"cfe0c36d3de0bc0414b9601026726cb2a0d718d48ce05f272193ec6dfcd58ae4","abstract_canon_sha256":"5ef4a8b4caa402af46f78e707e0da50fe848bd9f29c57c9182c873251e0db6b2"},"schema_version":"1.0"},"canonical_sha256":"5799a1b129f266f610fe536c0849aea5b267f72ed914cf0398ace50413b0cb38","source":{"kind":"arxiv","id":"1111.5764","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5764","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5764v2","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5764","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"K6M2DMJJ6JTP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"K6M2DMJJ6JTPMEH6","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"K6M2DMJJ","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:K6M2DMJJ6JTPMEH6KNWAQSNOUW","target":"record","payload":{"canonical_record":{"source":{"id":"1111.5764","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-24T13:56:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"cfe0c36d3de0bc0414b9601026726cb2a0d718d48ce05f272193ec6dfcd58ae4","abstract_canon_sha256":"5ef4a8b4caa402af46f78e707e0da50fe848bd9f29c57c9182c873251e0db6b2"},"schema_version":"1.0"},"canonical_sha256":"5799a1b129f266f610fe536c0849aea5b267f72ed914cf0398ace50413b0cb38","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:25.817341Z","signature_b64":"SCCC/XQPaAQw4ohCZ0cG6pScqRE8IEObQ1TtE95dRizKHR7SuyHLV6PiSU4R26d1xxIEr+1Q6HE5n+6uB7qWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5799a1b129f266f610fe536c0849aea5b267f72ed914cf0398ace50413b0cb38","last_reissued_at":"2026-05-18T04:01:25.816650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:25.816650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.5764","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":"2026-05-18T04:01:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bo5H0apvSiQrH3PTgrcBqpUBakWZ2CbeSVFGzQJEF/Wpf3gBKArMp5UdwN1MjejnVJvjk1NMKanp2+6rQbbfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:39:15.239417Z"},"content_sha256":"f0252625925c3f72caa5363dc76ffaa2d966558a4a7997cef6d79abaedf5ec62","schema_version":"1.0","event_id":"sha256:f0252625925c3f72caa5363dc76ffaa2d966558a4a7997cef6d79abaedf5ec62"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:K6M2DMJJ6JTPMEH6KNWAQSNOUW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Back Reaction from Walls","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Enea Di Dio, Marc Vonlanthen, Ruth Durrer","submitted_at":"2011-11-24T13:56:08Z","abstract_excerpt":"We study the distance-redshift relation in a universe filled with 'walls' of pressure-less dust separated by under dense regions. We show that as long as the density contrast of the walls is small, or the diameter of the under dense regions is much smaller than the Hubble scale, the distance-redshift relation remains close to what is obtained in a Friedmann universe. However, when arbitrary density contrasts are allowed, every prescribed distance-redshift relation can be reproduced with such models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5764","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":""},"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":"2026-05-18T04:01:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dIi/El61VuMRMmI/Avdp/sBvtzb7yZBg42AkldG2K19LX4lmmTYxFiP3uk/0trMWqrtDtRjO5zeI2KjkXAxeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:39:15.240138Z"},"content_sha256":"a691aa1efb2969bef21c2c229d40226e62cf1d4797377ec52b9dda425a46d471","schema_version":"1.0","event_id":"sha256:a691aa1efb2969bef21c2c229d40226e62cf1d4797377ec52b9dda425a46d471"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K6M2DMJJ6JTPMEH6KNWAQSNOUW/bundle.json","state_url":"https://pith.science/pith/K6M2DMJJ6JTPMEH6KNWAQSNOUW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K6M2DMJJ6JTPMEH6KNWAQSNOUW/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":"2026-05-26T12:39:15Z","links":{"resolver":"https://pith.science/pith/K6M2DMJJ6JTPMEH6KNWAQSNOUW","bundle":"https://pith.science/pith/K6M2DMJJ6JTPMEH6KNWAQSNOUW/bundle.json","state":"https://pith.science/pith/K6M2DMJJ6JTPMEH6KNWAQSNOUW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K6M2DMJJ6JTPMEH6KNWAQSNOUW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:K6M2DMJJ6JTPMEH6KNWAQSNOUW","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":"5ef4a8b4caa402af46f78e707e0da50fe848bd9f29c57c9182c873251e0db6b2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-24T13:56:08Z","title_canon_sha256":"cfe0c36d3de0bc0414b9601026726cb2a0d718d48ce05f272193ec6dfcd58ae4"},"schema_version":"1.0","source":{"id":"1111.5764","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5764","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5764v2","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5764","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"K6M2DMJJ6JTP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"K6M2DMJJ6JTPMEH6","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"K6M2DMJJ","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:a691aa1efb2969bef21c2c229d40226e62cf1d4797377ec52b9dda425a46d471","target":"graph","created_at":"2026-05-18T04:01:25Z","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 distance-redshift relation in a universe filled with 'walls' of pressure-less dust separated by under dense regions. We show that as long as the density contrast of the walls is small, or the diameter of the under dense regions is much smaller than the Hubble scale, the distance-redshift relation remains close to what is obtained in a Friedmann universe. However, when arbitrary density contrasts are allowed, every prescribed distance-redshift relation can be reproduced with such models.","authors_text":"Enea Di Dio, Marc Vonlanthen, Ruth Durrer","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-24T13:56:08Z","title":"Back Reaction from Walls"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5764","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:f0252625925c3f72caa5363dc76ffaa2d966558a4a7997cef6d79abaedf5ec62","target":"record","created_at":"2026-05-18T04:01:25Z","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":"5ef4a8b4caa402af46f78e707e0da50fe848bd9f29c57c9182c873251e0db6b2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-24T13:56:08Z","title_canon_sha256":"cfe0c36d3de0bc0414b9601026726cb2a0d718d48ce05f272193ec6dfcd58ae4"},"schema_version":"1.0","source":{"id":"1111.5764","kind":"arxiv","version":2}},"canonical_sha256":"5799a1b129f266f610fe536c0849aea5b267f72ed914cf0398ace50413b0cb38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5799a1b129f266f610fe536c0849aea5b267f72ed914cf0398ace50413b0cb38","first_computed_at":"2026-05-18T04:01:25.816650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:25.816650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SCCC/XQPaAQw4ohCZ0cG6pScqRE8IEObQ1TtE95dRizKHR7SuyHLV6PiSU4R26d1xxIEr+1Q6HE5n+6uB7qWDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:25.817341Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.5764","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0252625925c3f72caa5363dc76ffaa2d966558a4a7997cef6d79abaedf5ec62","sha256:a691aa1efb2969bef21c2c229d40226e62cf1d4797377ec52b9dda425a46d471"],"state_sha256":"aa4f940fbf009d28ebd577bc0c2a25a3173ac0215901a3b006790bfdf112c13b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f+mmc6w+YkzcS8w9pp4Uo4cRLTM2nrr3Oo/qXsXAknETqKSYnswtwZkLzDllX8Bp7v8yjyuUnnNiXlzWFMC/Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:39:15.244019Z","bundle_sha256":"9eb0409dac9f91d969a380803e1edc895b86a31bc0bec2ab053895f3278669ce"}}