{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:XYCP3E5M3SIJHFOLJMVFYVRHIZ","short_pith_number":"pith:XYCP3E5M","canonical_record":{"source":{"id":"2007.03563","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-07T15:39:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ed89883b342e5b7dd03ed54fcfcafc70d8644d1900c6126a9298958c657124d5","abstract_canon_sha256":"6196aae5427b820673e1ec849a0fb48f289fe13040439ccd36412df6d816e45a"},"schema_version":"1.0"},"canonical_sha256":"be04fd93acdc909395cb4b2a5c56274655fdd315ebec581b19a569c8a429c3ca","source":{"kind":"arxiv","id":"2007.03563","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.03563","created_at":"2026-07-05T01:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"2007.03563v1","created_at":"2026-07-05T01:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.03563","created_at":"2026-07-05T01:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"XYCP3E5M3SIJ","created_at":"2026-07-05T01:55:58Z"},{"alias_kind":"pith_short_16","alias_value":"XYCP3E5M3SIJHFOL","created_at":"2026-07-05T01:55:58Z"},{"alias_kind":"pith_short_8","alias_value":"XYCP3E5M","created_at":"2026-07-05T01:55:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:XYCP3E5M3SIJHFOLJMVFYVRHIZ","target":"record","payload":{"canonical_record":{"source":{"id":"2007.03563","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-07T15:39:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ed89883b342e5b7dd03ed54fcfcafc70d8644d1900c6126a9298958c657124d5","abstract_canon_sha256":"6196aae5427b820673e1ec849a0fb48f289fe13040439ccd36412df6d816e45a"},"schema_version":"1.0"},"canonical_sha256":"be04fd93acdc909395cb4b2a5c56274655fdd315ebec581b19a569c8a429c3ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:55:58.529370Z","signature_b64":"m2RXV8gQKb/guHwU5u0PQ3aQit3Pt2fbfY/zA4I3DIdK45zC5bP3T5K666AwnFnRp9H//y5v/Dj3z1QYUvHBCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be04fd93acdc909395cb4b2a5c56274655fdd315ebec581b19a569c8a429c3ca","last_reissued_at":"2026-07-05T01:55:58.528804Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:55:58.528804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2007.03563","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":"2026-07-05T01:55:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3pFgxvE+Tv/Zc0F24mt3JVAQnyzje51MY4FvRxPlTXLoJXFPWwHr8JohvUbiYccbawZpher6NjgkJK8mnlHgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T13:00:41.928935Z"},"content_sha256":"0d90ba074b483ee60c6ba9dc9562a48af895bf74a6a503c7ebe9e4cb0bcb6c52","schema_version":"1.0","event_id":"sha256:0d90ba074b483ee60c6ba9dc9562a48af895bf74a6a503c7ebe9e4cb0bcb6c52"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:XYCP3E5M3SIJHFOLJMVFYVRHIZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Edge modes of gravity -- II: Corner metric and Lorentz charges","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Daniele Pranzetti, Laurent Freidel, Marc Geiller","submitted_at":"2020-07-07T15:39:24Z","abstract_excerpt":"In this second paper of the series we continue to spell out a new program for quantum gravity, grounded in the notion of corner symmetry algebra and its representations. Here we focus on tetrad gravity and its corner symplectic potential. We start by performing a detailed decomposition of the various geometrical quantities appearing in BF theory and tetrad gravity. This provides a new decomposition of the symplectic potential of BF theory and the simplicity constraints. We then show that the dynamical variables of the tetrad gravity corner phase space are the internal normal to the spacetime f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.03563","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/2007.03563/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":"2026-07-05T01:55:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dFYQgzs5kRf5YF6MZ6+rbfArFib7zwKeMr5t8n6IgF5h1sVOkibp+VK8nwx4M7mc5mjcfc1TVC1O1Z19JPJHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T13:00:41.929441Z"},"content_sha256":"fa570b08ce8e42b96c869ac02d53587b82eaa93835fc12314de520fd070fcfed","schema_version":"1.0","event_id":"sha256:fa570b08ce8e42b96c869ac02d53587b82eaa93835fc12314de520fd070fcfed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XYCP3E5M3SIJHFOLJMVFYVRHIZ/bundle.json","state_url":"https://pith.science/pith/XYCP3E5M3SIJHFOLJMVFYVRHIZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XYCP3E5M3SIJHFOLJMVFYVRHIZ/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":"2026-08-06T13:00:41Z","links":{"resolver":"https://pith.science/pith/XYCP3E5M3SIJHFOLJMVFYVRHIZ","bundle":"https://pith.science/pith/XYCP3E5M3SIJHFOLJMVFYVRHIZ/bundle.json","state":"https://pith.science/pith/XYCP3E5M3SIJHFOLJMVFYVRHIZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XYCP3E5M3SIJHFOLJMVFYVRHIZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:XYCP3E5M3SIJHFOLJMVFYVRHIZ","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":"6196aae5427b820673e1ec849a0fb48f289fe13040439ccd36412df6d816e45a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-07T15:39:24Z","title_canon_sha256":"ed89883b342e5b7dd03ed54fcfcafc70d8644d1900c6126a9298958c657124d5"},"schema_version":"1.0","source":{"id":"2007.03563","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.03563","created_at":"2026-07-05T01:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"2007.03563v1","created_at":"2026-07-05T01:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.03563","created_at":"2026-07-05T01:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"XYCP3E5M3SIJ","created_at":"2026-07-05T01:55:58Z"},{"alias_kind":"pith_short_16","alias_value":"XYCP3E5M3SIJHFOL","created_at":"2026-07-05T01:55:58Z"},{"alias_kind":"pith_short_8","alias_value":"XYCP3E5M","created_at":"2026-07-05T01:55:58Z"}],"graph_snapshots":[{"event_id":"sha256:fa570b08ce8e42b96c869ac02d53587b82eaa93835fc12314de520fd070fcfed","target":"graph","created_at":"2026-07-05T01:55:58Z","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/2007.03563/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this second paper of the series we continue to spell out a new program for quantum gravity, grounded in the notion of corner symmetry algebra and its representations. Here we focus on tetrad gravity and its corner symplectic potential. We start by performing a detailed decomposition of the various geometrical quantities appearing in BF theory and tetrad gravity. This provides a new decomposition of the symplectic potential of BF theory and the simplicity constraints. We then show that the dynamical variables of the tetrad gravity corner phase space are the internal normal to the spacetime f","authors_text":"Daniele Pranzetti, Laurent Freidel, Marc Geiller","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-07T15:39:24Z","title":"Edge modes of gravity -- II: Corner metric and Lorentz charges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.03563","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":"sha256:0d90ba074b483ee60c6ba9dc9562a48af895bf74a6a503c7ebe9e4cb0bcb6c52","target":"record","created_at":"2026-07-05T01:55:58Z","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":"6196aae5427b820673e1ec849a0fb48f289fe13040439ccd36412df6d816e45a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-07T15:39:24Z","title_canon_sha256":"ed89883b342e5b7dd03ed54fcfcafc70d8644d1900c6126a9298958c657124d5"},"schema_version":"1.0","source":{"id":"2007.03563","kind":"arxiv","version":1}},"canonical_sha256":"be04fd93acdc909395cb4b2a5c56274655fdd315ebec581b19a569c8a429c3ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be04fd93acdc909395cb4b2a5c56274655fdd315ebec581b19a569c8a429c3ca","first_computed_at":"2026-07-05T01:55:58.528804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:55:58.528804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m2RXV8gQKb/guHwU5u0PQ3aQit3Pt2fbfY/zA4I3DIdK45zC5bP3T5K666AwnFnRp9H//y5v/Dj3z1QYUvHBCA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:55:58.529370Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.03563","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d90ba074b483ee60c6ba9dc9562a48af895bf74a6a503c7ebe9e4cb0bcb6c52","sha256:fa570b08ce8e42b96c869ac02d53587b82eaa93835fc12314de520fd070fcfed"],"state_sha256":"2c2e21e995bcdea81a1ea5c2d9bef288fa910ec44b33e23de25472dcdb1e1291"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G1Z2TJ44USweyjzh/nMp0gyV33D92ycC2FtTdZltF3rnarowzNt+CdBkNIoTbBR30B6vfUm2am1UghEc7h4WAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T13:00:41.934698Z","bundle_sha256":"5948fcc840e109a79df355843fcf929968bdd682e060fe9227aed3c84653d684"}}