{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:UCLJVZEBV3LWC7TI2DXXIFIDLI","short_pith_number":"pith:UCLJVZEB","canonical_record":{"source":{"id":"2006.15303","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-27T07:10:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4c52b5fc1275bf91387cc50c0b2470b5103462f7cffaa6a178a088f9a484b241","abstract_canon_sha256":"e69a54fc0e261b0515f725c7a1459e0a71e896a0ca7e7f27a6f5dc77ac7a46ac"},"schema_version":"1.0"},"canonical_sha256":"a0969ae481aed7617e68d0ef7415035a3781e34db6aefa3f30cbb8cf72104d03","source":{"kind":"arxiv","id":"2006.15303","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.15303","created_at":"2026-07-05T03:16:49Z"},{"alias_kind":"arxiv_version","alias_value":"2006.15303v4","created_at":"2026-07-05T03:16:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.15303","created_at":"2026-07-05T03:16:49Z"},{"alias_kind":"pith_short_12","alias_value":"UCLJVZEBV3LW","created_at":"2026-07-05T03:16:49Z"},{"alias_kind":"pith_short_16","alias_value":"UCLJVZEBV3LWC7TI","created_at":"2026-07-05T03:16:49Z"},{"alias_kind":"pith_short_8","alias_value":"UCLJVZEB","created_at":"2026-07-05T03:16:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:UCLJVZEBV3LWC7TI2DXXIFIDLI","target":"record","payload":{"canonical_record":{"source":{"id":"2006.15303","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-27T07:10:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4c52b5fc1275bf91387cc50c0b2470b5103462f7cffaa6a178a088f9a484b241","abstract_canon_sha256":"e69a54fc0e261b0515f725c7a1459e0a71e896a0ca7e7f27a6f5dc77ac7a46ac"},"schema_version":"1.0"},"canonical_sha256":"a0969ae481aed7617e68d0ef7415035a3781e34db6aefa3f30cbb8cf72104d03","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:16:49.759616Z","signature_b64":"s9AoCGgKsYlgiaNYAvqH4+aF9qC4Xk80xtYLrgsOUPKehwHVgWVePRZsKTIyl/Rdi1zSNcl4McKZpwW8c1mHBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0969ae481aed7617e68d0ef7415035a3781e34db6aefa3f30cbb8cf72104d03","last_reissued_at":"2026-07-05T03:16:49.759071Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:16:49.759071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.15303","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:16:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i8xQo02RexP9Ro3Lz3B9iVn5zH4j8dt6LTazi0IoytimQKGTkOa3YE4GY+BqFQbqAAhjHWImK5+cJ11OBSSQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:34:41.029076Z"},"content_sha256":"5bec438119f6f4fb95f005a4ebf1e2272c8163ba010771a01d53f6b4a6e4954b","schema_version":"1.0","event_id":"sha256:5bec438119f6f4fb95f005a4ebf1e2272c8163ba010771a01d53f6b4a6e4954b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:UCLJVZEBV3LWC7TI2DXXIFIDLI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"James M. Nester, Milutin Blagojevi\\'c","submitted_at":"2020-06-27T07:10:55Z","abstract_excerpt":"In the literature on $f(T)$ gravity, the status of local Lorentz invariance and the number of physical degrees of freedom have been controversial issues. Relying on a detailed Hamiltonian analysis, we show that there are several scenarios describing how local Lorentz invariance can be broken, but in the generic case, the number of physical degrees of freedom is found to be $N^*=5$; in $D$ dimensions, this number is $N^*=D(D-3)/2+(D-1)$. As expected, the theory is vulnerable to having problematical propagating modes. We compare our results with those existing in the literature. As a byproduct o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.15303","kind":"arxiv","version":4},"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/2006.15303/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":"2026-07-05T03:16:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zB/LU/2ijV3CWJnriscSNckDh3S30HKkav7HbXRa6zQEAnEPKddMBfSKA5y/LV4jh5i7jLsv+kHEWO5TO82rBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:34:41.029459Z"},"content_sha256":"b81817ab4901fc85cdd90276f26a5386f41c84356a30f9c47508857b9a372f15","schema_version":"1.0","event_id":"sha256:b81817ab4901fc85cdd90276f26a5386f41c84356a30f9c47508857b9a372f15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UCLJVZEBV3LWC7TI2DXXIFIDLI/bundle.json","state_url":"https://pith.science/pith/UCLJVZEBV3LWC7TI2DXXIFIDLI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UCLJVZEBV3LWC7TI2DXXIFIDLI/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":"2026-07-05T09:34:41Z","links":{"resolver":"https://pith.science/pith/UCLJVZEBV3LWC7TI2DXXIFIDLI","bundle":"https://pith.science/pith/UCLJVZEBV3LWC7TI2DXXIFIDLI/bundle.json","state":"https://pith.science/pith/UCLJVZEBV3LWC7TI2DXXIFIDLI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UCLJVZEBV3LWC7TI2DXXIFIDLI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:UCLJVZEBV3LWC7TI2DXXIFIDLI","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":"e69a54fc0e261b0515f725c7a1459e0a71e896a0ca7e7f27a6f5dc77ac7a46ac","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-27T07:10:55Z","title_canon_sha256":"4c52b5fc1275bf91387cc50c0b2470b5103462f7cffaa6a178a088f9a484b241"},"schema_version":"1.0","source":{"id":"2006.15303","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.15303","created_at":"2026-07-05T03:16:49Z"},{"alias_kind":"arxiv_version","alias_value":"2006.15303v4","created_at":"2026-07-05T03:16:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.15303","created_at":"2026-07-05T03:16:49Z"},{"alias_kind":"pith_short_12","alias_value":"UCLJVZEBV3LW","created_at":"2026-07-05T03:16:49Z"},{"alias_kind":"pith_short_16","alias_value":"UCLJVZEBV3LWC7TI","created_at":"2026-07-05T03:16:49Z"},{"alias_kind":"pith_short_8","alias_value":"UCLJVZEB","created_at":"2026-07-05T03:16:49Z"}],"graph_snapshots":[{"event_id":"sha256:b81817ab4901fc85cdd90276f26a5386f41c84356a30f9c47508857b9a372f15","target":"graph","created_at":"2026-07-05T03:16:49Z","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/2006.15303/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the literature on $f(T)$ gravity, the status of local Lorentz invariance and the number of physical degrees of freedom have been controversial issues. Relying on a detailed Hamiltonian analysis, we show that there are several scenarios describing how local Lorentz invariance can be broken, but in the generic case, the number of physical degrees of freedom is found to be $N^*=5$; in $D$ dimensions, this number is $N^*=D(D-3)/2+(D-1)$. As expected, the theory is vulnerable to having problematical propagating modes. We compare our results with those existing in the literature. As a byproduct o","authors_text":"James M. Nester, Milutin Blagojevi\\'c","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-27T07:10:55Z","title":"Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.15303","kind":"arxiv","version":4},"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":"sha256:5bec438119f6f4fb95f005a4ebf1e2272c8163ba010771a01d53f6b4a6e4954b","target":"record","created_at":"2026-07-05T03:16:49Z","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":"e69a54fc0e261b0515f725c7a1459e0a71e896a0ca7e7f27a6f5dc77ac7a46ac","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-27T07:10:55Z","title_canon_sha256":"4c52b5fc1275bf91387cc50c0b2470b5103462f7cffaa6a178a088f9a484b241"},"schema_version":"1.0","source":{"id":"2006.15303","kind":"arxiv","version":4}},"canonical_sha256":"a0969ae481aed7617e68d0ef7415035a3781e34db6aefa3f30cbb8cf72104d03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0969ae481aed7617e68d0ef7415035a3781e34db6aefa3f30cbb8cf72104d03","first_computed_at":"2026-07-05T03:16:49.759071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:16:49.759071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s9AoCGgKsYlgiaNYAvqH4+aF9qC4Xk80xtYLrgsOUPKehwHVgWVePRZsKTIyl/Rdi1zSNcl4McKZpwW8c1mHBg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:16:49.759616Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.15303","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bec438119f6f4fb95f005a4ebf1e2272c8163ba010771a01d53f6b4a6e4954b","sha256:b81817ab4901fc85cdd90276f26a5386f41c84356a30f9c47508857b9a372f15"],"state_sha256":"081d40b630728c0f00ae0eeaf0ce0a490374473b1e544a0de75ffa293966a14d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F5Ix5y249WjNu2q+1wjas1IJlpYQvsxBIrKS/rxYs3/GsMim9YR3CzxzsSlKO54XFGOfonzCcs76e3TO6obYAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T09:34:41.031389Z","bundle_sha256":"50541d9adb05ce795f4097af4186a1292801966d0b69bc701789ce8931aca74e"}}