{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:NSVT5NXLWVPMHZWNDIFA2TI5EW","short_pith_number":"pith:NSVT5NXL","canonical_record":{"source":{"id":"2210.13910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-25T10:59:17Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3f06727186e305b61c8cc4ce56149883c114bd289c890c5131eeffd3287ef2e8","abstract_canon_sha256":"aba952d945c61a11eed29c3e39c67b8dba2bd55abb3eb185f6d60423fca332e8"},"schema_version":"1.0"},"canonical_sha256":"6cab3eb6ebb55ec3e6cd1a0a0d4d1d25b31ae745546505a995b151ae4fce06a6","source":{"kind":"arxiv","id":"2210.13910","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.13910","created_at":"2026-07-05T05:10:24Z"},{"alias_kind":"arxiv_version","alias_value":"2210.13910v1","created_at":"2026-07-05T05:10:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.13910","created_at":"2026-07-05T05:10:24Z"},{"alias_kind":"pith_short_12","alias_value":"NSVT5NXLWVPM","created_at":"2026-07-05T05:10:24Z"},{"alias_kind":"pith_short_16","alias_value":"NSVT5NXLWVPMHZWN","created_at":"2026-07-05T05:10:24Z"},{"alias_kind":"pith_short_8","alias_value":"NSVT5NXL","created_at":"2026-07-05T05:10:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:NSVT5NXLWVPMHZWNDIFA2TI5EW","target":"record","payload":{"canonical_record":{"source":{"id":"2210.13910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-25T10:59:17Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3f06727186e305b61c8cc4ce56149883c114bd289c890c5131eeffd3287ef2e8","abstract_canon_sha256":"aba952d945c61a11eed29c3e39c67b8dba2bd55abb3eb185f6d60423fca332e8"},"schema_version":"1.0"},"canonical_sha256":"6cab3eb6ebb55ec3e6cd1a0a0d4d1d25b31ae745546505a995b151ae4fce06a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:10:24.237182Z","signature_b64":"ZURWTTM3R9LNTitlCE5ADpf493jhXM7+uKk9vl/Aclk4nbJLr5/FN+mJ5k0H8r+mobJX8DtRehCdSTRTrHeYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cab3eb6ebb55ec3e6cd1a0a0d4d1d25b31ae745546505a995b151ae4fce06a6","last_reissued_at":"2026-07-05T05:10:24.236849Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:10:24.236849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.13910","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":"2026-07-05T05:10:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YdLQQqnKkM6Uh2vzxt6oIkvGbvxSeCw4btCBCvwIAY3MpHyK893mhY7gjNqLsE7BkWwpq2oOdWXc2+RgtpZCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:03:14.405030Z"},"content_sha256":"691e66f45fc77bf24a511007411d0bfd7e9362d547eca8b07d358b3483b8e653","schema_version":"1.0","event_id":"sha256:691e66f45fc77bf24a511007411d0bfd7e9362d547eca8b07d358b3483b8e653"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:NSVT5NXLWVPMHZWNDIFA2TI5EW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbative approaches to non-perturbative quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Gian Paolo Vacca, Omar Zanusso, Riccardo Martini","submitted_at":"2022-10-25T10:59:17Z","abstract_excerpt":"We discuss the birth of the non-perturbative approach to quantum gravity known as quantum Einstein gravity, in which the gravitational interactions are conjectured to be asymptotically safe. The interactions are assumed to be finite and consistent at high energies thanks to a scale-invariant ultraviolet completion. We present the framework on the basis of perturbative arguments that originally motivated it, paying special attention to the $\\epsilon$-expansion in $d=2+\\epsilon$ dimensions and the large-$N$ expansion for $N$ the number of flavors of matter fields. The chapter is organized in suc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.13910","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/2210.13910/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":"2026-07-05T05:10:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HybDiqfzhZ0qggPMM6l2kb6EKL8z6HXDSecv+relDB2THL82Z9vC0EZ292/kZLl+MrEMtydUbs27N0UVlM8zBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:03:14.405839Z"},"content_sha256":"57dcc006fea92e6ec37a8aeda824941256e0653c1f71923786a73c52373fac0d","schema_version":"1.0","event_id":"sha256:57dcc006fea92e6ec37a8aeda824941256e0653c1f71923786a73c52373fac0d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NSVT5NXLWVPMHZWNDIFA2TI5EW/bundle.json","state_url":"https://pith.science/pith/NSVT5NXLWVPMHZWNDIFA2TI5EW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NSVT5NXLWVPMHZWNDIFA2TI5EW/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":"2026-08-09T22:03:14Z","links":{"resolver":"https://pith.science/pith/NSVT5NXLWVPMHZWNDIFA2TI5EW","bundle":"https://pith.science/pith/NSVT5NXLWVPMHZWNDIFA2TI5EW/bundle.json","state":"https://pith.science/pith/NSVT5NXLWVPMHZWNDIFA2TI5EW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NSVT5NXLWVPMHZWNDIFA2TI5EW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NSVT5NXLWVPMHZWNDIFA2TI5EW","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":"aba952d945c61a11eed29c3e39c67b8dba2bd55abb3eb185f6d60423fca332e8","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-25T10:59:17Z","title_canon_sha256":"3f06727186e305b61c8cc4ce56149883c114bd289c890c5131eeffd3287ef2e8"},"schema_version":"1.0","source":{"id":"2210.13910","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.13910","created_at":"2026-07-05T05:10:24Z"},{"alias_kind":"arxiv_version","alias_value":"2210.13910v1","created_at":"2026-07-05T05:10:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.13910","created_at":"2026-07-05T05:10:24Z"},{"alias_kind":"pith_short_12","alias_value":"NSVT5NXLWVPM","created_at":"2026-07-05T05:10:24Z"},{"alias_kind":"pith_short_16","alias_value":"NSVT5NXLWVPMHZWN","created_at":"2026-07-05T05:10:24Z"},{"alias_kind":"pith_short_8","alias_value":"NSVT5NXL","created_at":"2026-07-05T05:10:24Z"}],"graph_snapshots":[{"event_id":"sha256:57dcc006fea92e6ec37a8aeda824941256e0653c1f71923786a73c52373fac0d","target":"graph","created_at":"2026-07-05T05:10:24Z","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/2210.13910/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the birth of the non-perturbative approach to quantum gravity known as quantum Einstein gravity, in which the gravitational interactions are conjectured to be asymptotically safe. The interactions are assumed to be finite and consistent at high energies thanks to a scale-invariant ultraviolet completion. We present the framework on the basis of perturbative arguments that originally motivated it, paying special attention to the $\\epsilon$-expansion in $d=2+\\epsilon$ dimensions and the large-$N$ expansion for $N$ the number of flavors of matter fields. The chapter is organized in suc","authors_text":"Gian Paolo Vacca, Omar Zanusso, Riccardo Martini","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-25T10:59:17Z","title":"Perturbative approaches to non-perturbative quantum gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.13910","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":"sha256:691e66f45fc77bf24a511007411d0bfd7e9362d547eca8b07d358b3483b8e653","target":"record","created_at":"2026-07-05T05:10:24Z","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":"aba952d945c61a11eed29c3e39c67b8dba2bd55abb3eb185f6d60423fca332e8","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-25T10:59:17Z","title_canon_sha256":"3f06727186e305b61c8cc4ce56149883c114bd289c890c5131eeffd3287ef2e8"},"schema_version":"1.0","source":{"id":"2210.13910","kind":"arxiv","version":1}},"canonical_sha256":"6cab3eb6ebb55ec3e6cd1a0a0d4d1d25b31ae745546505a995b151ae4fce06a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cab3eb6ebb55ec3e6cd1a0a0d4d1d25b31ae745546505a995b151ae4fce06a6","first_computed_at":"2026-07-05T05:10:24.236849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:10:24.236849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZURWTTM3R9LNTitlCE5ADpf493jhXM7+uKk9vl/Aclk4nbJLr5/FN+mJ5k0H8r+mobJX8DtRehCdSTRTrHeYBg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:10:24.237182Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.13910","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:691e66f45fc77bf24a511007411d0bfd7e9362d547eca8b07d358b3483b8e653","sha256:57dcc006fea92e6ec37a8aeda824941256e0653c1f71923786a73c52373fac0d"],"state_sha256":"2f51df631dfd5769aeb8e24774895dfa219e6291232b88c4479de0b3af550c8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a/4UFHmDlo+rrPpz88rZ/9myjbLJ/xuHFrNQKSDY423NTeidt6aPISgt4rZc+HBLEKPG02EjwwzEXAmMORv/CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T22:03:14.411565Z","bundle_sha256":"3cdc76f1ec16ea3c9ab9f8359f5b8f5d33d5daaec213f592521547ee447e55f6"}}