{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:5UBDZWD4EHFNGSU2DF7AVKKDJS","short_pith_number":"pith:5UBDZWD4","canonical_record":{"source":{"id":"1011.2326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2010-11-10T09:51:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c78ab424d8892e1b882244595aed3ddae70b7d3e7297df4502b5182e556766cd","abstract_canon_sha256":"ecdcc19148aa29bad7fe1c7076a0f55aed1ea55925aefaaef46f80439fefbfb3"},"schema_version":"1.0"},"canonical_sha256":"ed023cd87c21cad34a9a197e0aa9434c95e917ba9d7e0b6f0190cf3907a7f29b","source":{"kind":"arxiv","id":"1011.2326","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2326","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2326v1","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2326","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"pith_short_12","alias_value":"5UBDZWD4EHFN","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5UBDZWD4EHFNGSU2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5UBDZWD4","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:5UBDZWD4EHFNGSU2DF7AVKKDJS","target":"record","payload":{"canonical_record":{"source":{"id":"1011.2326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2010-11-10T09:51:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c78ab424d8892e1b882244595aed3ddae70b7d3e7297df4502b5182e556766cd","abstract_canon_sha256":"ecdcc19148aa29bad7fe1c7076a0f55aed1ea55925aefaaef46f80439fefbfb3"},"schema_version":"1.0"},"canonical_sha256":"ed023cd87c21cad34a9a197e0aa9434c95e917ba9d7e0b6f0190cf3907a7f29b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:30.541557Z","signature_b64":"Et+BdRNNLV1Kq0lpd1i4XK8H3UojzhS0pbia3mxq9+bai8cYCWcc1Gg0+ag7j9wGb+O+QhoKFOXcHya2LeSOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed023cd87c21cad34a9a197e0aa9434c95e917ba9d7e0b6f0190cf3907a7f29b","last_reissued_at":"2026-05-18T04:36:30.541158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:30.541158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.2326","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":"2026-05-18T04:36:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W81vOPpaFzHyRV3ysbImDEeudGmOBdpb08w+HU3rCZmauE6jz56+k4A6DMzz0Zu2sVvBf6KJEUIUiAVIKifNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:46:18.850795Z"},"content_sha256":"e0a4cf53270f9a5ab73cbc6bc48f186e80d3dfa1bc82b55af3105bd3fdbdabfd","schema_version":"1.0","event_id":"sha256:e0a4cf53270f9a5ab73cbc6bc48f186e80d3dfa1bc82b55af3105bd3fdbdabfd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:5UBDZWD4EHFNGSU2DF7AVKKDJS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interplay between the small and the large scale structure of spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"physics.gen-ph","authors_text":"Moninder Singh Modgil","submitted_at":"2010-11-10T09:51:42Z","abstract_excerpt":"Existence of frame invariant, maximum, time interval $T$, length $L$, and mass $M$ is postulated. In the de Sitter universe - (1) the life span of universe, (2) the circumference of universe at the point of maximum expansion, and (3) the mass of the universe - are candidates for $T$, $L$ and $M$ respectively. Impact of such invariant global parameters, on the definition of local physical quantities, such as velocity is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2326","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":"2026-05-18T04:36:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wBa4r1lM42LsSo7ZHSU0dbeZc/1kkBfjW60FCJoPiPqvle17su0Ev/H8XIOT8nLOzeRdu4j6jqXmvOYkg3BtAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:46:18.851542Z"},"content_sha256":"d01e51fdd1b06cc0d6976f9dfb281b68371633756c6036fefbfccb63ec43ff1b","schema_version":"1.0","event_id":"sha256:d01e51fdd1b06cc0d6976f9dfb281b68371633756c6036fefbfccb63ec43ff1b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5UBDZWD4EHFNGSU2DF7AVKKDJS/bundle.json","state_url":"https://pith.science/pith/5UBDZWD4EHFNGSU2DF7AVKKDJS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5UBDZWD4EHFNGSU2DF7AVKKDJS/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":"2026-05-31T20:46:18Z","links":{"resolver":"https://pith.science/pith/5UBDZWD4EHFNGSU2DF7AVKKDJS","bundle":"https://pith.science/pith/5UBDZWD4EHFNGSU2DF7AVKKDJS/bundle.json","state":"https://pith.science/pith/5UBDZWD4EHFNGSU2DF7AVKKDJS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5UBDZWD4EHFNGSU2DF7AVKKDJS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5UBDZWD4EHFNGSU2DF7AVKKDJS","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":"ecdcc19148aa29bad7fe1c7076a0f55aed1ea55925aefaaef46f80439fefbfb3","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2010-11-10T09:51:42Z","title_canon_sha256":"c78ab424d8892e1b882244595aed3ddae70b7d3e7297df4502b5182e556766cd"},"schema_version":"1.0","source":{"id":"1011.2326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2326","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2326v1","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2326","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"pith_short_12","alias_value":"5UBDZWD4EHFN","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5UBDZWD4EHFNGSU2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5UBDZWD4","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:d01e51fdd1b06cc0d6976f9dfb281b68371633756c6036fefbfccb63ec43ff1b","target":"graph","created_at":"2026-05-18T04:36:30Z","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":"Existence of frame invariant, maximum, time interval $T$, length $L$, and mass $M$ is postulated. In the de Sitter universe - (1) the life span of universe, (2) the circumference of universe at the point of maximum expansion, and (3) the mass of the universe - are candidates for $T$, $L$ and $M$ respectively. Impact of such invariant global parameters, on the definition of local physical quantities, such as velocity is discussed.","authors_text":"Moninder Singh Modgil","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2010-11-10T09:51:42Z","title":"Interplay between the small and the large scale structure of spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2326","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:e0a4cf53270f9a5ab73cbc6bc48f186e80d3dfa1bc82b55af3105bd3fdbdabfd","target":"record","created_at":"2026-05-18T04:36:30Z","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":"ecdcc19148aa29bad7fe1c7076a0f55aed1ea55925aefaaef46f80439fefbfb3","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2010-11-10T09:51:42Z","title_canon_sha256":"c78ab424d8892e1b882244595aed3ddae70b7d3e7297df4502b5182e556766cd"},"schema_version":"1.0","source":{"id":"1011.2326","kind":"arxiv","version":1}},"canonical_sha256":"ed023cd87c21cad34a9a197e0aa9434c95e917ba9d7e0b6f0190cf3907a7f29b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed023cd87c21cad34a9a197e0aa9434c95e917ba9d7e0b6f0190cf3907a7f29b","first_computed_at":"2026-05-18T04:36:30.541158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:30.541158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Et+BdRNNLV1Kq0lpd1i4XK8H3UojzhS0pbia3mxq9+bai8cYCWcc1Gg0+ag7j9wGb+O+QhoKFOXcHya2LeSOCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:30.541557Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.2326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0a4cf53270f9a5ab73cbc6bc48f186e80d3dfa1bc82b55af3105bd3fdbdabfd","sha256:d01e51fdd1b06cc0d6976f9dfb281b68371633756c6036fefbfccb63ec43ff1b"],"state_sha256":"f20b20ab6b376d2d93ab750d358568e3d8ce3424387f8a35c38b7b655d642dcf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JMhZCd84Su/uzsI2I2ErNR2xEbKI7/vOU43kq9HxzYr+LUgEuE9LbRtNAsETjIOtPrH0ctQlNs201P/jj4PUAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:46:18.855978Z","bundle_sha256":"7e1a419e969a522d8dc759802e78422936d705640a9b88ff78e718f8ffc727d6"}}