{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:5ARL7264UTHZQFQDUSR4LCW76H","short_pith_number":"pith:5ARL7264","canonical_record":{"source":{"id":"2205.13558","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-05-26T18:00:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"63eab088a90f5816552a8dbd4ebdc7aecb272c6f21955c78d1693851bdd8ae55","abstract_canon_sha256":"cebe9f516213c2cfe9879677178a038763ca2b4b8506a445801e107d33eaf4f6"},"schema_version":"1.0"},"canonical_sha256":"e822bfebdca4cf981603a4a3c58adff1d80d80fa7dbc32aee0af6e43a532a804","source":{"kind":"arxiv","id":"2205.13558","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.13558","created_at":"2026-07-05T05:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"2205.13558v1","created_at":"2026-07-05T05:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.13558","created_at":"2026-07-05T05:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"5ARL7264UTHZ","created_at":"2026-07-05T05:24:38Z"},{"alias_kind":"pith_short_16","alias_value":"5ARL7264UTHZQFQD","created_at":"2026-07-05T05:24:38Z"},{"alias_kind":"pith_short_8","alias_value":"5ARL7264","created_at":"2026-07-05T05:24:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:5ARL7264UTHZQFQDUSR4LCW76H","target":"record","payload":{"canonical_record":{"source":{"id":"2205.13558","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-05-26T18:00:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"63eab088a90f5816552a8dbd4ebdc7aecb272c6f21955c78d1693851bdd8ae55","abstract_canon_sha256":"cebe9f516213c2cfe9879677178a038763ca2b4b8506a445801e107d33eaf4f6"},"schema_version":"1.0"},"canonical_sha256":"e822bfebdca4cf981603a4a3c58adff1d80d80fa7dbc32aee0af6e43a532a804","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:24:38.238542Z","signature_b64":"G8khVMMtdFWK/kbGEKzNWyVNOA7AUh4IlyqP0OJPhVKz/xZBu+8lZP9m9H2k/Pker+PoKS3letixhcldGWylAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e822bfebdca4cf981603a4a3c58adff1d80d80fa7dbc32aee0af6e43a532a804","last_reissued_at":"2026-07-05T05:24:38.238087Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:24:38.238087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.13558","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":"2026-07-05T05:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yjYb7Y8FD2ZphZCtPZMsnRsp4N9AlTf6xyNlyII+J25tO0atp/VHvaUJR2L2WKmfXEf1KV3ejA9/jxfxzOx3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:18:08.056306Z"},"content_sha256":"5cdde4e7d1db7efdd29f83e5083968c00f2a6c11040d07fd16c8a573f87171be","schema_version":"1.0","event_id":"sha256:5cdde4e7d1db7efdd29f83e5083968c00f2a6c11040d07fd16c8a573f87171be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:5ARL7264UTHZQFQDUSR4LCW76H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Configuration space for quantum gravity in a locally regularized path integral","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alessia Platania, Benjamin Knorr, Marc Schiffer","submitted_at":"2022-05-26T18:00:29Z","abstract_excerpt":"We discuss some aspects of the metric configuration space in quantum gravity in the background field formalism. We give a necessary and sufficient condition for the parameterization of Euclidean metric fluctuations such that i) the signature of the metric is preserved in all configurations that enter the gravitational path integral, and ii) the parameterization provides a bijective map between full Euclidean metrics and metric fluctuations about a fixed background. For the case of foliatable manifolds, we show how to parameterize fluctuations in order to preserve foliatability of all configura"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.13558","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.13558/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lNi0pOOrRSil0r3+Vx9pNgCEyFdrhw4TZVqhHuPOhVElJVQB2ORky2ry9dyceV4Preh9nvJJG3bTwUblcKV4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:18:08.056923Z"},"content_sha256":"6ea3d9ccdca18e90db5a7c14b4ade9008b4b2e22740f3d65716c8d013baa3a23","schema_version":"1.0","event_id":"sha256:6ea3d9ccdca18e90db5a7c14b4ade9008b4b2e22740f3d65716c8d013baa3a23"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5ARL7264UTHZQFQDUSR4LCW76H/bundle.json","state_url":"https://pith.science/pith/5ARL7264UTHZQFQDUSR4LCW76H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5ARL7264UTHZQFQDUSR4LCW76H/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":"2026-08-07T12:18:08Z","links":{"resolver":"https://pith.science/pith/5ARL7264UTHZQFQDUSR4LCW76H","bundle":"https://pith.science/pith/5ARL7264UTHZQFQDUSR4LCW76H/bundle.json","state":"https://pith.science/pith/5ARL7264UTHZQFQDUSR4LCW76H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5ARL7264UTHZQFQDUSR4LCW76H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:5ARL7264UTHZQFQDUSR4LCW76H","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":"cebe9f516213c2cfe9879677178a038763ca2b4b8506a445801e107d33eaf4f6","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-05-26T18:00:29Z","title_canon_sha256":"63eab088a90f5816552a8dbd4ebdc7aecb272c6f21955c78d1693851bdd8ae55"},"schema_version":"1.0","source":{"id":"2205.13558","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.13558","created_at":"2026-07-05T05:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"2205.13558v1","created_at":"2026-07-05T05:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.13558","created_at":"2026-07-05T05:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"5ARL7264UTHZ","created_at":"2026-07-05T05:24:38Z"},{"alias_kind":"pith_short_16","alias_value":"5ARL7264UTHZQFQD","created_at":"2026-07-05T05:24:38Z"},{"alias_kind":"pith_short_8","alias_value":"5ARL7264","created_at":"2026-07-05T05:24:38Z"}],"graph_snapshots":[{"event_id":"sha256:6ea3d9ccdca18e90db5a7c14b4ade9008b4b2e22740f3d65716c8d013baa3a23","target":"graph","created_at":"2026-07-05T05:24:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2205.13558/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss some aspects of the metric configuration space in quantum gravity in the background field formalism. We give a necessary and sufficient condition for the parameterization of Euclidean metric fluctuations such that i) the signature of the metric is preserved in all configurations that enter the gravitational path integral, and ii) the parameterization provides a bijective map between full Euclidean metrics and metric fluctuations about a fixed background. For the case of foliatable manifolds, we show how to parameterize fluctuations in order to preserve foliatability of all configura","authors_text":"Alessia Platania, Benjamin Knorr, Marc Schiffer","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-05-26T18:00:29Z","title":"Configuration space for quantum gravity in a locally regularized path integral"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.13558","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":"sha256:5cdde4e7d1db7efdd29f83e5083968c00f2a6c11040d07fd16c8a573f87171be","target":"record","created_at":"2026-07-05T05:24:38Z","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":"cebe9f516213c2cfe9879677178a038763ca2b4b8506a445801e107d33eaf4f6","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-05-26T18:00:29Z","title_canon_sha256":"63eab088a90f5816552a8dbd4ebdc7aecb272c6f21955c78d1693851bdd8ae55"},"schema_version":"1.0","source":{"id":"2205.13558","kind":"arxiv","version":1}},"canonical_sha256":"e822bfebdca4cf981603a4a3c58adff1d80d80fa7dbc32aee0af6e43a532a804","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e822bfebdca4cf981603a4a3c58adff1d80d80fa7dbc32aee0af6e43a532a804","first_computed_at":"2026-07-05T05:24:38.238087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:24:38.238087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G8khVMMtdFWK/kbGEKzNWyVNOA7AUh4IlyqP0OJPhVKz/xZBu+8lZP9m9H2k/Pker+PoKS3letixhcldGWylAg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:24:38.238542Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.13558","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cdde4e7d1db7efdd29f83e5083968c00f2a6c11040d07fd16c8a573f87171be","sha256:6ea3d9ccdca18e90db5a7c14b4ade9008b4b2e22740f3d65716c8d013baa3a23"],"state_sha256":"3b4b99742980db0d874d533a433ea0114bd3ba027e0219cae7eaffe8f673d2fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4GDhwOdPNIUwFY8JPXa4Xm/aodnkjrwfsThHhUcXJ1DRygM6AQIJVxplwvztrVbZf56Z0wb75FtK3sNJX1uxBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T12:18:08.060635Z","bundle_sha256":"d31dc65a77cf581209dc166aa85bf38dd314285872e7f8dc4144b2b478a9ceaf"}}