{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WWXMZ2L2PZVVTJHC466FD3WPSK","short_pith_number":"pith:WWXMZ2L2","canonical_record":{"source":{"id":"1210.0750","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-02T12:35:06Z","cross_cats_sorted":[],"title_canon_sha256":"91735ee820426ac9f6f1160c5e4a6492a3dc22f6f8d743c57359d83d720648fd","abstract_canon_sha256":"5144a50e6767f33d1949574aa705303b4bec21b727387c89b8c4065f12525e72"},"schema_version":"1.0"},"canonical_sha256":"b5aecce97a7e6b59a4e2e7bc51eecf92a23e267496ff5721edd4a2edd6b08b78","source":{"kind":"arxiv","id":"1210.0750","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0750","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0750v1","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0750","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"pith_short_12","alias_value":"WWXMZ2L2PZVV","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WWXMZ2L2PZVVTJHC","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WWXMZ2L2","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WWXMZ2L2PZVVTJHC466FD3WPSK","target":"record","payload":{"canonical_record":{"source":{"id":"1210.0750","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-02T12:35:06Z","cross_cats_sorted":[],"title_canon_sha256":"91735ee820426ac9f6f1160c5e4a6492a3dc22f6f8d743c57359d83d720648fd","abstract_canon_sha256":"5144a50e6767f33d1949574aa705303b4bec21b727387c89b8c4065f12525e72"},"schema_version":"1.0"},"canonical_sha256":"b5aecce97a7e6b59a4e2e7bc51eecf92a23e267496ff5721edd4a2edd6b08b78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:52.425718Z","signature_b64":"jg6YpbFICqTWxeSTTa4O74KbXSn+q+AWgO2rmyYu19JxyjhIrwsnplLPgvofKOcOYJk14t9kXNI8BX8OaAYhBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5aecce97a7e6b59a4e2e7bc51eecf92a23e267496ff5721edd4a2edd6b08b78","last_reissued_at":"2026-05-18T00:56:52.425227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:52.425227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.0750","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":"2026-05-18T00:56:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g5+FPtYPK1q77iP+ayYplIaIMghP3SLsEdz4l1SFVIxAF+/OSq3Al7Lb/Vae9yMqhCn0dUkGF2v1a507H7UGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:55:33.943064Z"},"content_sha256":"a24fdb5210b941a7d486c216291f1ebbb2a5cebe35eeab63b220e0c5ed9d2ab9","schema_version":"1.0","event_id":"sha256:a24fdb5210b941a7d486c216291f1ebbb2a5cebe35eeab63b220e0c5ed9d2ab9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WWXMZ2L2PZVVTJHC466FD3WPSK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A fully covariant information-theoretic ultraviolet cutoff for scalar fields in expanding FRW spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Achim Kempf, Aidan Chatwin-Davies, Robert T.W. Martin","submitted_at":"2012-10-02T12:35:06Z","abstract_excerpt":"While a natural ultraviolet cutoff, presumably at the Planck length, is widely assumed to exist in nature, it has proven difficult to implement a minimum length scale covariantly. A key reason is that the presence of a fixed minimum length would seem to contradict the ability of Lorentz transformations to contract lengths. In this paper, we implement a fully covariant Planck scale cutoff by cutting off the spectrum of the d'Alembertian. In this scenario, consistent with Lorentz contractions, wavelengths that are arbitrarily smaller than the Planck length continue to exist. However, the dynamic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0750","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":"2026-05-18T00:56:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cAzH8VJ6ZIiSHIXChZPEhJQupcPgF8UFQmMAZl3n3H3v0v/KVGJABt9X+WgXwPJKZA3uENVOOBvXOuPQzNkRBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:55:33.943423Z"},"content_sha256":"72b282beb499826d06875878f6ba18a7fd4123fc78c1c6b20847981262b0ede4","schema_version":"1.0","event_id":"sha256:72b282beb499826d06875878f6ba18a7fd4123fc78c1c6b20847981262b0ede4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WWXMZ2L2PZVVTJHC466FD3WPSK/bundle.json","state_url":"https://pith.science/pith/WWXMZ2L2PZVVTJHC466FD3WPSK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WWXMZ2L2PZVVTJHC466FD3WPSK/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":"2026-06-03T20:55:33Z","links":{"resolver":"https://pith.science/pith/WWXMZ2L2PZVVTJHC466FD3WPSK","bundle":"https://pith.science/pith/WWXMZ2L2PZVVTJHC466FD3WPSK/bundle.json","state":"https://pith.science/pith/WWXMZ2L2PZVVTJHC466FD3WPSK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WWXMZ2L2PZVVTJHC466FD3WPSK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WWXMZ2L2PZVVTJHC466FD3WPSK","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":"5144a50e6767f33d1949574aa705303b4bec21b727387c89b8c4065f12525e72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-02T12:35:06Z","title_canon_sha256":"91735ee820426ac9f6f1160c5e4a6492a3dc22f6f8d743c57359d83d720648fd"},"schema_version":"1.0","source":{"id":"1210.0750","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0750","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0750v1","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0750","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"pith_short_12","alias_value":"WWXMZ2L2PZVV","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WWXMZ2L2PZVVTJHC","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WWXMZ2L2","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:72b282beb499826d06875878f6ba18a7fd4123fc78c1c6b20847981262b0ede4","target":"graph","created_at":"2026-05-18T00:56:52Z","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":"While a natural ultraviolet cutoff, presumably at the Planck length, is widely assumed to exist in nature, it has proven difficult to implement a minimum length scale covariantly. A key reason is that the presence of a fixed minimum length would seem to contradict the ability of Lorentz transformations to contract lengths. In this paper, we implement a fully covariant Planck scale cutoff by cutting off the spectrum of the d'Alembertian. In this scenario, consistent with Lorentz contractions, wavelengths that are arbitrarily smaller than the Planck length continue to exist. However, the dynamic","authors_text":"Achim Kempf, Aidan Chatwin-Davies, Robert T.W. Martin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-02T12:35:06Z","title":"A fully covariant information-theoretic ultraviolet cutoff for scalar fields in expanding FRW spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0750","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:a24fdb5210b941a7d486c216291f1ebbb2a5cebe35eeab63b220e0c5ed9d2ab9","target":"record","created_at":"2026-05-18T00:56:52Z","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":"5144a50e6767f33d1949574aa705303b4bec21b727387c89b8c4065f12525e72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-02T12:35:06Z","title_canon_sha256":"91735ee820426ac9f6f1160c5e4a6492a3dc22f6f8d743c57359d83d720648fd"},"schema_version":"1.0","source":{"id":"1210.0750","kind":"arxiv","version":1}},"canonical_sha256":"b5aecce97a7e6b59a4e2e7bc51eecf92a23e267496ff5721edd4a2edd6b08b78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5aecce97a7e6b59a4e2e7bc51eecf92a23e267496ff5721edd4a2edd6b08b78","first_computed_at":"2026-05-18T00:56:52.425227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:52.425227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jg6YpbFICqTWxeSTTa4O74KbXSn+q+AWgO2rmyYu19JxyjhIrwsnplLPgvofKOcOYJk14t9kXNI8BX8OaAYhBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:52.425718Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.0750","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a24fdb5210b941a7d486c216291f1ebbb2a5cebe35eeab63b220e0c5ed9d2ab9","sha256:72b282beb499826d06875878f6ba18a7fd4123fc78c1c6b20847981262b0ede4"],"state_sha256":"aa185d5cc08c7f2307713bf065c77d86c8d803be1d1efe6300c5ebf30ac78235"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R1qi6VE6fOHD/jWGl0qVZ1AbaUf/dR2I0n+MMdSBFzo3IwUnU7L3LDtmKoQCvDb093PghP6pvXu+nGGEL7g5DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:55:33.945482Z","bundle_sha256":"3e8f82182a143c683ee1851af132951b3533eb1367f62f178bc9d1fcad982153"}}