{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:B2TLWBCB5MTMPM6JMM7MYPOCU4","short_pith_number":"pith:B2TLWBCB","canonical_record":{"source":{"id":"1202.6067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-02-27T21:02:28Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"5b0399ebec030665cebd8f3880046db5ce7df910f4dc42273ac060127d730178","abstract_canon_sha256":"3093d4a1973d3d711dd292fb335e3ff73c8adb9df0f801ef39073da7a06fdaa7"},"schema_version":"1.0"},"canonical_sha256":"0ea6bb0441eb26c7b3c9633ecc3dc2a70cab4179163787f6df29de65c7733aa5","source":{"kind":"arxiv","id":"1202.6067","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6067","created_at":"2026-05-18T01:58:18Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6067v1","created_at":"2026-05-18T01:58:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6067","created_at":"2026-05-18T01:58:18Z"},{"alias_kind":"pith_short_12","alias_value":"B2TLWBCB5MTM","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"B2TLWBCB5MTMPM6J","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"B2TLWBCB","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:B2TLWBCB5MTMPM6JMM7MYPOCU4","target":"record","payload":{"canonical_record":{"source":{"id":"1202.6067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-02-27T21:02:28Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"5b0399ebec030665cebd8f3880046db5ce7df910f4dc42273ac060127d730178","abstract_canon_sha256":"3093d4a1973d3d711dd292fb335e3ff73c8adb9df0f801ef39073da7a06fdaa7"},"schema_version":"1.0"},"canonical_sha256":"0ea6bb0441eb26c7b3c9633ecc3dc2a70cab4179163787f6df29de65c7733aa5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:18.997091Z","signature_b64":"Usvvd5/77fwRtV9Xx32ccrE3Gv28US15yGABI33Y8Psklt2I0JJ/pQ1MADnWFihTlHDIztLreyToT8gLib6sCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ea6bb0441eb26c7b3c9633ecc3dc2a70cab4179163787f6df29de65c7733aa5","last_reissued_at":"2026-05-18T01:58:18.996394Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:18.996394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.6067","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":"2026-05-18T01:58:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WmPu7UK8+D3JbdSrlGKZNts6sRjuKopx8LPRR1FTE9hp+Q4QUR3E3UjjKrVqfqy0lFHd+DhLKVIVx6KqYCMnBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T22:04:24.949180Z"},"content_sha256":"94a3ab3490d95287ee001aeca4e35354d8a28155e9d813c7f7240c7234a62286","schema_version":"1.0","event_id":"sha256:94a3ab3490d95287ee001aeca4e35354d8a28155e9d813c7f7240c7234a62286"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:B2TLWBCB5MTMPM6JMM7MYPOCU4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Topological Modifications of Newton's Law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"E.G. Floratos, G.K. Leontaris","submitted_at":"2012-02-27T21:02:28Z","abstract_excerpt":"Recent cosmological data for very large distances challenge the validity of the standard cosmological model. Motivated by the observed spatial flatness the accelerating expansion and the various anisotropies with preferred axes in the universe we examine the consequences of the simple hypothesis that the three-dimensional space has a global R^2 X S^1 topology. We take the radius of the compactification to be the observed cosmological scale beyond which the accelerated expansion starts. We derive the induced corrections to the Newton's gravitational potential and we find that for distances smal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6067","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":"2026-05-18T01:58:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uSIjWYXMr1K7KBJK6fPO+YQOS0IUQCU8OOxgwjHMNpR2bUnCPe+uYM8X3SCEO+f6g1oIIpmLmFx5QvF63vE+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T22:04:24.949782Z"},"content_sha256":"c7558589c040788a62c0c6ad1a19517ffb8e4b0ecbdab5c474af1f74430616d7","schema_version":"1.0","event_id":"sha256:c7558589c040788a62c0c6ad1a19517ffb8e4b0ecbdab5c474af1f74430616d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B2TLWBCB5MTMPM6JMM7MYPOCU4/bundle.json","state_url":"https://pith.science/pith/B2TLWBCB5MTMPM6JMM7MYPOCU4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B2TLWBCB5MTMPM6JMM7MYPOCU4/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":"2026-06-30T22:04:24Z","links":{"resolver":"https://pith.science/pith/B2TLWBCB5MTMPM6JMM7MYPOCU4","bundle":"https://pith.science/pith/B2TLWBCB5MTMPM6JMM7MYPOCU4/bundle.json","state":"https://pith.science/pith/B2TLWBCB5MTMPM6JMM7MYPOCU4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B2TLWBCB5MTMPM6JMM7MYPOCU4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:B2TLWBCB5MTMPM6JMM7MYPOCU4","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":"3093d4a1973d3d711dd292fb335e3ff73c8adb9df0f801ef39073da7a06fdaa7","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-02-27T21:02:28Z","title_canon_sha256":"5b0399ebec030665cebd8f3880046db5ce7df910f4dc42273ac060127d730178"},"schema_version":"1.0","source":{"id":"1202.6067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6067","created_at":"2026-05-18T01:58:18Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6067v1","created_at":"2026-05-18T01:58:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6067","created_at":"2026-05-18T01:58:18Z"},{"alias_kind":"pith_short_12","alias_value":"B2TLWBCB5MTM","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"B2TLWBCB5MTMPM6J","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"B2TLWBCB","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:c7558589c040788a62c0c6ad1a19517ffb8e4b0ecbdab5c474af1f74430616d7","target":"graph","created_at":"2026-05-18T01:58:18Z","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":"Recent cosmological data for very large distances challenge the validity of the standard cosmological model. Motivated by the observed spatial flatness the accelerating expansion and the various anisotropies with preferred axes in the universe we examine the consequences of the simple hypothesis that the three-dimensional space has a global R^2 X S^1 topology. We take the radius of the compactification to be the observed cosmological scale beyond which the accelerated expansion starts. We derive the induced corrections to the Newton's gravitational potential and we find that for distances smal","authors_text":"E.G. Floratos, G.K. Leontaris","cross_cats":["gr-qc","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-02-27T21:02:28Z","title":"On Topological Modifications of Newton's Law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6067","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":"sha256:94a3ab3490d95287ee001aeca4e35354d8a28155e9d813c7f7240c7234a62286","target":"record","created_at":"2026-05-18T01:58:18Z","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":"3093d4a1973d3d711dd292fb335e3ff73c8adb9df0f801ef39073da7a06fdaa7","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-02-27T21:02:28Z","title_canon_sha256":"5b0399ebec030665cebd8f3880046db5ce7df910f4dc42273ac060127d730178"},"schema_version":"1.0","source":{"id":"1202.6067","kind":"arxiv","version":1}},"canonical_sha256":"0ea6bb0441eb26c7b3c9633ecc3dc2a70cab4179163787f6df29de65c7733aa5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ea6bb0441eb26c7b3c9633ecc3dc2a70cab4179163787f6df29de65c7733aa5","first_computed_at":"2026-05-18T01:58:18.996394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:18.996394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Usvvd5/77fwRtV9Xx32ccrE3Gv28US15yGABI33Y8Psklt2I0JJ/pQ1MADnWFihTlHDIztLreyToT8gLib6sCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:18.997091Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.6067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94a3ab3490d95287ee001aeca4e35354d8a28155e9d813c7f7240c7234a62286","sha256:c7558589c040788a62c0c6ad1a19517ffb8e4b0ecbdab5c474af1f74430616d7"],"state_sha256":"c02d082a60225c5417532a64555105507bdc644b36aa9c9e5581d17f0afe5e38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EMuf2dDFDap2aONJByHw0OhSUkmaqn8eA7Yq2kG7qkxi7H5YcExS3Gu6hsq/9KkIvZ70kPyxFz2U5o6bJCooCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T22:04:24.952735Z","bundle_sha256":"59892c4ad05afb97e3803a434bd4d3dd62f28de947e992060a1eae23d3d04b18"}}