{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:2L33QGFWPZIFUXBLK3XGYHSO6C","short_pith_number":"pith:2L33QGFW","canonical_record":{"source":{"id":"2109.03174","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-09-07T16:12:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a5eb0e3a7c382ad4901e58129412776f40afa02a7f230cdb28487728c8159382","abstract_canon_sha256":"34ede51dbf846b07387ae06843eeb224f5239ce3d4c2d35de5757b9b0b48c88d"},"schema_version":"1.0"},"canonical_sha256":"d2f7b818b67e505a5c2b56ee6c1e4ef09e9328a75c30d1f97577f881a1040ef9","source":{"kind":"arxiv","id":"2109.03174","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.03174","created_at":"2026-07-05T03:53:04Z"},{"alias_kind":"arxiv_version","alias_value":"2109.03174v1","created_at":"2026-07-05T03:53:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.03174","created_at":"2026-07-05T03:53:04Z"},{"alias_kind":"pith_short_12","alias_value":"2L33QGFWPZIF","created_at":"2026-07-05T03:53:04Z"},{"alias_kind":"pith_short_16","alias_value":"2L33QGFWPZIFUXBL","created_at":"2026-07-05T03:53:04Z"},{"alias_kind":"pith_short_8","alias_value":"2L33QGFW","created_at":"2026-07-05T03:53:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:2L33QGFWPZIFUXBLK3XGYHSO6C","target":"record","payload":{"canonical_record":{"source":{"id":"2109.03174","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-09-07T16:12:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a5eb0e3a7c382ad4901e58129412776f40afa02a7f230cdb28487728c8159382","abstract_canon_sha256":"34ede51dbf846b07387ae06843eeb224f5239ce3d4c2d35de5757b9b0b48c88d"},"schema_version":"1.0"},"canonical_sha256":"d2f7b818b67e505a5c2b56ee6c1e4ef09e9328a75c30d1f97577f881a1040ef9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:53:04.081370Z","signature_b64":"GBmerITbZUwhDW+ZZiUsPRgETIhuMA6MRrezUwVcOz8G4ifbY+LubrTpuT1suHndu1KXTyHLQUaVDCMhClcfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2f7b818b67e505a5c2b56ee6c1e4ef09e9328a75c30d1f97577f881a1040ef9","last_reissued_at":"2026-07-05T03:53:04.080847Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:53:04.080847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.03174","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":"2026-07-05T03:53:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DoPN3HPYorfw7e6rajMalqprGxZT6w6LPyW0ulcGSJ2MrR5pLqWgkRNL65fyRTg+rNqh9OGeVEADj5cdyQYEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:52:56.083686Z"},"content_sha256":"b7686e9d75b824586898bb49c44322bd48e4a1a5eb7e9cb77005dd9597bcd786","schema_version":"1.0","event_id":"sha256:b7686e9d75b824586898bb49c44322bd48e4a1a5eb7e9cb77005dd9597bcd786"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:2L33QGFWPZIFUXBLK3XGYHSO6C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black holes in $f(\\mathbb Q)$ Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Fabio D'Ambrosio, Lavinia Heisenberg, Shaun D.B. Fell, Simon Kuhn","submitted_at":"2021-09-07T16:12:15Z","abstract_excerpt":"We systematically study the field equations of $f(\\mathbb Q)$ gravity for spherically symmetric and stationary metric-affine spacetimes. Such spacetimes are described by a metric as well as a flat and torsionless affine connection. In the Symmetric Teleparallel Equivalent of GR (STEGR), the connection is pure gauge and hence unphysical. However, in the non-linear extension $f(\\Q)$, it is promoted to a dynamical field which changes the physics. Starting from a general metric-affine geometry, we construct the most general static and spherically symmetric forms of the metric and the affine connec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.03174","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/2109.03174/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":"2026-07-05T03:53:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yCVY8++YkNCq8zuLu0mat0Y8PbWXNJMgH//Jrebn1xqTTXB7PU2ESGp1NEukiU2EaXX0wvtNerjPKs37PRysCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:52:56.084269Z"},"content_sha256":"98041da6e230190856063f997481658e5f3b750c7352c79e439afbaa55c44977","schema_version":"1.0","event_id":"sha256:98041da6e230190856063f997481658e5f3b750c7352c79e439afbaa55c44977"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2L33QGFWPZIFUXBLK3XGYHSO6C/bundle.json","state_url":"https://pith.science/pith/2L33QGFWPZIFUXBLK3XGYHSO6C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2L33QGFWPZIFUXBLK3XGYHSO6C/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":"2026-08-08T13:52:56Z","links":{"resolver":"https://pith.science/pith/2L33QGFWPZIFUXBLK3XGYHSO6C","bundle":"https://pith.science/pith/2L33QGFWPZIFUXBLK3XGYHSO6C/bundle.json","state":"https://pith.science/pith/2L33QGFWPZIFUXBLK3XGYHSO6C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2L33QGFWPZIFUXBLK3XGYHSO6C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:2L33QGFWPZIFUXBLK3XGYHSO6C","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":"34ede51dbf846b07387ae06843eeb224f5239ce3d4c2d35de5757b9b0b48c88d","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-09-07T16:12:15Z","title_canon_sha256":"a5eb0e3a7c382ad4901e58129412776f40afa02a7f230cdb28487728c8159382"},"schema_version":"1.0","source":{"id":"2109.03174","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.03174","created_at":"2026-07-05T03:53:04Z"},{"alias_kind":"arxiv_version","alias_value":"2109.03174v1","created_at":"2026-07-05T03:53:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.03174","created_at":"2026-07-05T03:53:04Z"},{"alias_kind":"pith_short_12","alias_value":"2L33QGFWPZIF","created_at":"2026-07-05T03:53:04Z"},{"alias_kind":"pith_short_16","alias_value":"2L33QGFWPZIFUXBL","created_at":"2026-07-05T03:53:04Z"},{"alias_kind":"pith_short_8","alias_value":"2L33QGFW","created_at":"2026-07-05T03:53:04Z"}],"graph_snapshots":[{"event_id":"sha256:98041da6e230190856063f997481658e5f3b750c7352c79e439afbaa55c44977","target":"graph","created_at":"2026-07-05T03:53:04Z","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/2109.03174/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We systematically study the field equations of $f(\\mathbb Q)$ gravity for spherically symmetric and stationary metric-affine spacetimes. Such spacetimes are described by a metric as well as a flat and torsionless affine connection. In the Symmetric Teleparallel Equivalent of GR (STEGR), the connection is pure gauge and hence unphysical. However, in the non-linear extension $f(\\Q)$, it is promoted to a dynamical field which changes the physics. Starting from a general metric-affine geometry, we construct the most general static and spherically symmetric forms of the metric and the affine connec","authors_text":"Fabio D'Ambrosio, Lavinia Heisenberg, Shaun D.B. Fell, Simon Kuhn","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-09-07T16:12:15Z","title":"Black holes in $f(\\mathbb Q)$ Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.03174","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:b7686e9d75b824586898bb49c44322bd48e4a1a5eb7e9cb77005dd9597bcd786","target":"record","created_at":"2026-07-05T03:53:04Z","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":"34ede51dbf846b07387ae06843eeb224f5239ce3d4c2d35de5757b9b0b48c88d","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-09-07T16:12:15Z","title_canon_sha256":"a5eb0e3a7c382ad4901e58129412776f40afa02a7f230cdb28487728c8159382"},"schema_version":"1.0","source":{"id":"2109.03174","kind":"arxiv","version":1}},"canonical_sha256":"d2f7b818b67e505a5c2b56ee6c1e4ef09e9328a75c30d1f97577f881a1040ef9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2f7b818b67e505a5c2b56ee6c1e4ef09e9328a75c30d1f97577f881a1040ef9","first_computed_at":"2026-07-05T03:53:04.080847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:53:04.080847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GBmerITbZUwhDW+ZZiUsPRgETIhuMA6MRrezUwVcOz8G4ifbY+LubrTpuT1suHndu1KXTyHLQUaVDCMhClcfAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:53:04.081370Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.03174","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7686e9d75b824586898bb49c44322bd48e4a1a5eb7e9cb77005dd9597bcd786","sha256:98041da6e230190856063f997481658e5f3b750c7352c79e439afbaa55c44977"],"state_sha256":"21f65561f163cb7a66b10b012be51de836e71e7b2db60667aed4f79b704b421c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W5z+HIW/gsMEswA5dRaI5v4vfYnt7aO8ejUP4OYLZ1yxzm1R4NH7C6iCOtQSTeZKz8x0aV+GpZHGsNTDGb6HAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T13:52:56.088461Z","bundle_sha256":"44dbb82bf5a9e1f61d2646ca0a998b75821c65e2afb3dfc54c92c235424f11e7"}}