{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:TVJ73WRLOFH4EEYOD4FYRTNXIJ","short_pith_number":"pith:TVJ73WRL","canonical_record":{"source":{"id":"1201.2871","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-13T15:43:44Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"f39e1cf441c86bed827c22e5e06863cdba8e31e8831a053b82a2a0b7a715abea","abstract_canon_sha256":"fc3da04cb54799db0f6ae072fd39ab8d628cb635bb5ff0819ba4e776c20d9e4b"},"schema_version":"1.0"},"canonical_sha256":"9d53fdda2b714fc2130e1f0b88cdb742596b2324f881fa42c2dc3c906061803d","source":{"kind":"arxiv","id":"1201.2871","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2871","created_at":"2026-05-18T01:58:49Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2871v1","created_at":"2026-05-18T01:58:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2871","created_at":"2026-05-18T01:58:49Z"},{"alias_kind":"pith_short_12","alias_value":"TVJ73WRLOFH4","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TVJ73WRLOFH4EEYO","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TVJ73WRL","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:TVJ73WRLOFH4EEYOD4FYRTNXIJ","target":"record","payload":{"canonical_record":{"source":{"id":"1201.2871","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-13T15:43:44Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"f39e1cf441c86bed827c22e5e06863cdba8e31e8831a053b82a2a0b7a715abea","abstract_canon_sha256":"fc3da04cb54799db0f6ae072fd39ab8d628cb635bb5ff0819ba4e776c20d9e4b"},"schema_version":"1.0"},"canonical_sha256":"9d53fdda2b714fc2130e1f0b88cdb742596b2324f881fa42c2dc3c906061803d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:49.607992Z","signature_b64":"mX2+tV4YGUn11u7EQ3T/Bx6Dc1k6Jcky0BYIwok70NU7BgEaZekjxgLHUW5+UmK+iTTIIrndu4qUeyqH3bjVDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d53fdda2b714fc2130e1f0b88cdb742596b2324f881fa42c2dc3c906061803d","last_reissued_at":"2026-05-18T01:58:49.607281Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:49.607281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.2871","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":"2026-05-18T01:58:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9SIQ/lmlNc/ZPTNnYfJqr1RQs7pwVch2H9WMIn4UPp/ICn1VDz+602uDuq7Rg/a8qk7mxRgxWqhRPsBjw6CpBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:44:19.214588Z"},"content_sha256":"266d3a721d14835e703573e0af5964b5e80d0af6ea4b71d4bd40d74846c3044c","schema_version":"1.0","event_id":"sha256:266d3a721d14835e703573e0af5964b5e80d0af6ea4b71d4bd40d74846c3044c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:TVJ73WRLOFH4EEYOD4FYRTNXIJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spinor gravity and diffeomorphism invariance on the lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"gr-qc","authors_text":"C.Wetterich","submitted_at":"2012-01-13T15:43:44Z","abstract_excerpt":"The key ingredient for lattice regularized quantum gravity is diffeomorphism symmetry. We formulate a lattice functional integral for quantum gravity in terms of fermions. This allows for a diffeomorphism invariant functional measure and avoids problems of boundedness of the action. We discuss the concept of lattice diffeomorphism invariance. This is realized if the action does not depend on the positioning of abstract lattice points on a continuous manifold. Our formulation of lattice spinor gravity also realizes local Lorentz symmetry. Furthermore, the Lorentz transformations are generalized"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2871","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":"2026-05-18T01:58:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nMe860z1fscJlu8CStIfv8W9LZXXUd9Jn8j5MpkHBh9Xs4siO/xVlrGG/iRJqtaW/7owWOQ8bVggZzduPBi2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:44:19.214955Z"},"content_sha256":"348a0108c6bbb3a866f9155e5d13f7fd15146f88f619a3c42880f81a6f0bf549","schema_version":"1.0","event_id":"sha256:348a0108c6bbb3a866f9155e5d13f7fd15146f88f619a3c42880f81a6f0bf549"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TVJ73WRLOFH4EEYOD4FYRTNXIJ/bundle.json","state_url":"https://pith.science/pith/TVJ73WRLOFH4EEYOD4FYRTNXIJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TVJ73WRLOFH4EEYOD4FYRTNXIJ/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":"2026-05-28T05:44:19Z","links":{"resolver":"https://pith.science/pith/TVJ73WRLOFH4EEYOD4FYRTNXIJ","bundle":"https://pith.science/pith/TVJ73WRLOFH4EEYOD4FYRTNXIJ/bundle.json","state":"https://pith.science/pith/TVJ73WRLOFH4EEYOD4FYRTNXIJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TVJ73WRLOFH4EEYOD4FYRTNXIJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TVJ73WRLOFH4EEYOD4FYRTNXIJ","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":"fc3da04cb54799db0f6ae072fd39ab8d628cb635bb5ff0819ba4e776c20d9e4b","cross_cats_sorted":["hep-lat","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-13T15:43:44Z","title_canon_sha256":"f39e1cf441c86bed827c22e5e06863cdba8e31e8831a053b82a2a0b7a715abea"},"schema_version":"1.0","source":{"id":"1201.2871","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2871","created_at":"2026-05-18T01:58:49Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2871v1","created_at":"2026-05-18T01:58:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2871","created_at":"2026-05-18T01:58:49Z"},{"alias_kind":"pith_short_12","alias_value":"TVJ73WRLOFH4","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TVJ73WRLOFH4EEYO","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TVJ73WRL","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:348a0108c6bbb3a866f9155e5d13f7fd15146f88f619a3c42880f81a6f0bf549","target":"graph","created_at":"2026-05-18T01:58:49Z","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":"The key ingredient for lattice regularized quantum gravity is diffeomorphism symmetry. We formulate a lattice functional integral for quantum gravity in terms of fermions. This allows for a diffeomorphism invariant functional measure and avoids problems of boundedness of the action. We discuss the concept of lattice diffeomorphism invariance. This is realized if the action does not depend on the positioning of abstract lattice points on a continuous manifold. Our formulation of lattice spinor gravity also realizes local Lorentz symmetry. Furthermore, the Lorentz transformations are generalized","authors_text":"C.Wetterich","cross_cats":["hep-lat","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-13T15:43:44Z","title":"Spinor gravity and diffeomorphism invariance on the lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2871","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":"sha256:266d3a721d14835e703573e0af5964b5e80d0af6ea4b71d4bd40d74846c3044c","target":"record","created_at":"2026-05-18T01:58:49Z","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":"fc3da04cb54799db0f6ae072fd39ab8d628cb635bb5ff0819ba4e776c20d9e4b","cross_cats_sorted":["hep-lat","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-13T15:43:44Z","title_canon_sha256":"f39e1cf441c86bed827c22e5e06863cdba8e31e8831a053b82a2a0b7a715abea"},"schema_version":"1.0","source":{"id":"1201.2871","kind":"arxiv","version":1}},"canonical_sha256":"9d53fdda2b714fc2130e1f0b88cdb742596b2324f881fa42c2dc3c906061803d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d53fdda2b714fc2130e1f0b88cdb742596b2324f881fa42c2dc3c906061803d","first_computed_at":"2026-05-18T01:58:49.607281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:49.607281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mX2+tV4YGUn11u7EQ3T/Bx6Dc1k6Jcky0BYIwok70NU7BgEaZekjxgLHUW5+UmK+iTTIIrndu4qUeyqH3bjVDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:49.607992Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2871","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:266d3a721d14835e703573e0af5964b5e80d0af6ea4b71d4bd40d74846c3044c","sha256:348a0108c6bbb3a866f9155e5d13f7fd15146f88f619a3c42880f81a6f0bf549"],"state_sha256":"ed717b673aa8960a3753e392e5c1bbe69522413fc14ecacb33c2b81c2632aadd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3+1ZMs/YvpcuGolOBXI53u78n6rhGrZGHD/ZWi/wkB+SnvAjwsT5c9BaDzTd3mCcU5vuti38rgdr8GkgosxLBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T05:44:19.217184Z","bundle_sha256":"bd462f6284f870a374d0a2d4c93dcc864186c7ba03ebcdfc42a0a3eb30d8cef3"}}