{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:VUSOWJZRCOPCSECFVAPJUR72NJ","short_pith_number":"pith:VUSOWJZR","canonical_record":{"source":{"id":"2304.13058","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-25T18:00:06Z","cross_cats_sorted":[],"title_canon_sha256":"c8de0fd31147331ce379e6895d2f72791d18966c0126738306a61995f2989925","abstract_canon_sha256":"14d8bb8cfc84f258ab1d7e770097d144d821203c8c61781d5f688744c4682691"},"schema_version":"1.0"},"canonical_sha256":"ad24eb2731139e291045a81e9a47fa6a76a580b3c11e3faa0eaa7804326f0816","source":{"kind":"arxiv","id":"2304.13058","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.13058","created_at":"2026-07-05T06:50:54Z"},{"alias_kind":"arxiv_version","alias_value":"2304.13058v2","created_at":"2026-07-05T06:50:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.13058","created_at":"2026-07-05T06:50:54Z"},{"alias_kind":"pith_short_12","alias_value":"VUSOWJZRCOPC","created_at":"2026-07-05T06:50:54Z"},{"alias_kind":"pith_short_16","alias_value":"VUSOWJZRCOPCSECF","created_at":"2026-07-05T06:50:54Z"},{"alias_kind":"pith_short_8","alias_value":"VUSOWJZR","created_at":"2026-07-05T06:50:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:VUSOWJZRCOPCSECFVAPJUR72NJ","target":"record","payload":{"canonical_record":{"source":{"id":"2304.13058","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-25T18:00:06Z","cross_cats_sorted":[],"title_canon_sha256":"c8de0fd31147331ce379e6895d2f72791d18966c0126738306a61995f2989925","abstract_canon_sha256":"14d8bb8cfc84f258ab1d7e770097d144d821203c8c61781d5f688744c4682691"},"schema_version":"1.0"},"canonical_sha256":"ad24eb2731139e291045a81e9a47fa6a76a580b3c11e3faa0eaa7804326f0816","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:50:54.964768Z","signature_b64":"DJ3gkOa7WVexj5sn4x6Z65qacxt2U8Sze/XHHk4U4Z30RglGR+uCwRIQ2NfdeBy48u5caN0vl3BtUoDLuZIYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad24eb2731139e291045a81e9a47fa6a76a580b3c11e3faa0eaa7804326f0816","last_reissued_at":"2026-07-05T06:50:54.964271Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:50:54.964271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.13058","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:50:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cXK6BuhLcy8WaqshKAdYYsfmJZWkkRculZSw4Xa8GTpEyN09g1XtvS0dHXap9kpy1i3Fx180uSnACgDXaCqyDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T06:13:31.687840Z"},"content_sha256":"40df8eb48953e7983bb23071adb5b02c0f6063b284c5ec83474d68c1f026ca42","schema_version":"1.0","event_id":"sha256:40df8eb48953e7983bb23071adb5b02c0f6063b284c5ec83474d68c1f026ca42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:VUSOWJZRCOPCSECFVAPJUR72NJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Curvature effects in the spectral dimension of spin foams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alexander Jercher, Johannes Th\\\"urigen, Sebastian Steinhaus","submitted_at":"2023-04-25T18:00:06Z","abstract_excerpt":"It has been shown in [1] that a class of restricted spin foam models can feature a reduced spectral dimension of space-time. However, it is still an open question how curvature affects the flow of the spectral dimension. To answer this question, we consider another class of restricted spin foam models, so called spin foam frusta, which naturally exhibit oscillating amplitudes induced by curvature, as well as an extension of the parameter space by a cosmological constant. Numerically computing the spectral dimension of $1$-periodic frusta geometries using extrapolated quantum amplitudes, we fin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.13058","kind":"arxiv","version":2},"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/2304.13058/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":"2026-07-05T06:50:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mfuDzD4SvYkdkvCyA4kCN02WH+G+iEsbpG6cpZSy6QMM5i9p2jqDo5PGpLk1cnPIoBFjfvuSlgFtqgt0ACz6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T06:13:31.688368Z"},"content_sha256":"4de38bf1e8d49c393c5385321e764f43dee5b786003ae3c59b507156fe6a8ec1","schema_version":"1.0","event_id":"sha256:4de38bf1e8d49c393c5385321e764f43dee5b786003ae3c59b507156fe6a8ec1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VUSOWJZRCOPCSECFVAPJUR72NJ/bundle.json","state_url":"https://pith.science/pith/VUSOWJZRCOPCSECFVAPJUR72NJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VUSOWJZRCOPCSECFVAPJUR72NJ/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":"2026-08-14T06:13:31Z","links":{"resolver":"https://pith.science/pith/VUSOWJZRCOPCSECFVAPJUR72NJ","bundle":"https://pith.science/pith/VUSOWJZRCOPCSECFVAPJUR72NJ/bundle.json","state":"https://pith.science/pith/VUSOWJZRCOPCSECFVAPJUR72NJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VUSOWJZRCOPCSECFVAPJUR72NJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:VUSOWJZRCOPCSECFVAPJUR72NJ","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":"14d8bb8cfc84f258ab1d7e770097d144d821203c8c61781d5f688744c4682691","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-25T18:00:06Z","title_canon_sha256":"c8de0fd31147331ce379e6895d2f72791d18966c0126738306a61995f2989925"},"schema_version":"1.0","source":{"id":"2304.13058","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.13058","created_at":"2026-07-05T06:50:54Z"},{"alias_kind":"arxiv_version","alias_value":"2304.13058v2","created_at":"2026-07-05T06:50:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.13058","created_at":"2026-07-05T06:50:54Z"},{"alias_kind":"pith_short_12","alias_value":"VUSOWJZRCOPC","created_at":"2026-07-05T06:50:54Z"},{"alias_kind":"pith_short_16","alias_value":"VUSOWJZRCOPCSECF","created_at":"2026-07-05T06:50:54Z"},{"alias_kind":"pith_short_8","alias_value":"VUSOWJZR","created_at":"2026-07-05T06:50:54Z"}],"graph_snapshots":[{"event_id":"sha256:4de38bf1e8d49c393c5385321e764f43dee5b786003ae3c59b507156fe6a8ec1","target":"graph","created_at":"2026-07-05T06:50:54Z","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/2304.13058/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It has been shown in [1] that a class of restricted spin foam models can feature a reduced spectral dimension of space-time. However, it is still an open question how curvature affects the flow of the spectral dimension. To answer this question, we consider another class of restricted spin foam models, so called spin foam frusta, which naturally exhibit oscillating amplitudes induced by curvature, as well as an extension of the parameter space by a cosmological constant. Numerically computing the spectral dimension of $1$-periodic frusta geometries using extrapolated quantum amplitudes, we fin","authors_text":"Alexander Jercher, Johannes Th\\\"urigen, Sebastian Steinhaus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-25T18:00:06Z","title":"Curvature effects in the spectral dimension of spin foams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.13058","kind":"arxiv","version":2},"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":"sha256:40df8eb48953e7983bb23071adb5b02c0f6063b284c5ec83474d68c1f026ca42","target":"record","created_at":"2026-07-05T06:50:54Z","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":"14d8bb8cfc84f258ab1d7e770097d144d821203c8c61781d5f688744c4682691","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-25T18:00:06Z","title_canon_sha256":"c8de0fd31147331ce379e6895d2f72791d18966c0126738306a61995f2989925"},"schema_version":"1.0","source":{"id":"2304.13058","kind":"arxiv","version":2}},"canonical_sha256":"ad24eb2731139e291045a81e9a47fa6a76a580b3c11e3faa0eaa7804326f0816","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad24eb2731139e291045a81e9a47fa6a76a580b3c11e3faa0eaa7804326f0816","first_computed_at":"2026-07-05T06:50:54.964271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:50:54.964271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DJ3gkOa7WVexj5sn4x6Z65qacxt2U8Sze/XHHk4U4Z30RglGR+uCwRIQ2NfdeBy48u5caN0vl3BtUoDLuZIYCA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:50:54.964768Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.13058","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40df8eb48953e7983bb23071adb5b02c0f6063b284c5ec83474d68c1f026ca42","sha256:4de38bf1e8d49c393c5385321e764f43dee5b786003ae3c59b507156fe6a8ec1"],"state_sha256":"aed223b84a428223539c346221b7d3a61b7db71298fd8a4c57c95ac39c591ab8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uAKHwcyA5WyAiDAkQ915ab9eAvilUYefalbpWlD2GrvUxTDBLN7zzw1g6RNSLeo80GB22uxEcupdaRpOrmJzCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T06:13:31.694812Z","bundle_sha256":"ba6cd42e507f7f9566d2438e1747ea4370a207bd43767f4c783ca8ade4c52c0c"}}