{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:QXCX73CLRGQVDETCWVX76QUN3E","short_pith_number":"pith:QXCX73CL","canonical_record":{"source":{"id":"1505.05011","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-19T14:25:48Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"424d3d65c02f80028402ee2054ee21c3425fd9b4b4916c576e3802d0e2e8ca03","abstract_canon_sha256":"1a6e24fe1a7e3d5a0205f1626e1f9808b259629f660fe447db67174c7d753088"},"schema_version":"1.0"},"canonical_sha256":"85c57fec4b89a1519262b56fff428dd90059ac58c76377649aa085971f07777e","source":{"kind":"arxiv","id":"1505.05011","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05011","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05011v1","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05011","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"pith_short_12","alias_value":"QXCX73CLRGQV","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"QXCX73CLRGQVDETC","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"QXCX73CL","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:QXCX73CLRGQVDETCWVX76QUN3E","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05011","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-19T14:25:48Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"424d3d65c02f80028402ee2054ee21c3425fd9b4b4916c576e3802d0e2e8ca03","abstract_canon_sha256":"1a6e24fe1a7e3d5a0205f1626e1f9808b259629f660fe447db67174c7d753088"},"schema_version":"1.0"},"canonical_sha256":"85c57fec4b89a1519262b56fff428dd90059ac58c76377649aa085971f07777e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:38.994397Z","signature_b64":"qZfBl5k+Xl0Vrrq0SMo2G59J+7RTX0Q2GSjSrtc9w+pq81o7GJFUnQxKtc2JsILQi8ggrd8RNWvNbi68D8r7Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85c57fec4b89a1519262b56fff428dd90059ac58c76377649aa085971f07777e","last_reissued_at":"2026-05-18T01:31:38.993821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:38.993821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05011","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":"2026-05-18T01:31:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/lfXmjUT2XWRuX6Ww5GbWNmG1aejL0Dxamc5wArTcJTH5nJAaGQRa9lqfw/H1T9eWKSp/LKDZD35zYYdv/Y2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:23:06.464049Z"},"content_sha256":"5f78103c40c2093999d8ef200ab0574ebd679a4262f1fefed7830edb7f4104e9","schema_version":"1.0","event_id":"sha256:5f78103c40c2093999d8ef200ab0574ebd679a4262f1fefed7830edb7f4104e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:QXCX73CLRGQVDETCWVX76QUN3E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauging the Carroll Algebra and Ultra-Relativistic Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Jelle Hartong","submitted_at":"2015-05-19T14:25:48Z","abstract_excerpt":"It is well known that the geometrical framework of Riemannian geometry that underlies general relativity and its torsionful extension to Riemann-Cartan geometry can be obtained from a procedure known as gauging the Poincare algebra. Recently it has been shown that gauging the centrally extended Galilei algebra, known as the Bargmann algebra, leads to a geometrical framework that when made dynamical gives rise to Horava-Lifshitz gravity. Here we consider the case where we contract the Poincare algebra by sending the speed of light to zero leading to the Carroll algebra. We show how this algebra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05011","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":""},"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":"2026-05-18T01:31:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aJ9vFZASF58s4NmbjJaf1ja+tyY3uj15ke7mhbUvmcQl4WFyXd0X0SEV5QaQMVVZo7WCCkFTIiarCExuvEFyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:23:06.464738Z"},"content_sha256":"475211001193d7cf482b10dc67d6bc48ce23efb83f4b1510ed3df423f608c0f2","schema_version":"1.0","event_id":"sha256:475211001193d7cf482b10dc67d6bc48ce23efb83f4b1510ed3df423f608c0f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QXCX73CLRGQVDETCWVX76QUN3E/bundle.json","state_url":"https://pith.science/pith/QXCX73CLRGQVDETCWVX76QUN3E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QXCX73CLRGQVDETCWVX76QUN3E/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":"2026-05-25T22:23:06Z","links":{"resolver":"https://pith.science/pith/QXCX73CLRGQVDETCWVX76QUN3E","bundle":"https://pith.science/pith/QXCX73CLRGQVDETCWVX76QUN3E/bundle.json","state":"https://pith.science/pith/QXCX73CLRGQVDETCWVX76QUN3E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QXCX73CLRGQVDETCWVX76QUN3E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QXCX73CLRGQVDETCWVX76QUN3E","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":"1a6e24fe1a7e3d5a0205f1626e1f9808b259629f660fe447db67174c7d753088","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-19T14:25:48Z","title_canon_sha256":"424d3d65c02f80028402ee2054ee21c3425fd9b4b4916c576e3802d0e2e8ca03"},"schema_version":"1.0","source":{"id":"1505.05011","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05011","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05011v1","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05011","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"pith_short_12","alias_value":"QXCX73CLRGQV","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"QXCX73CLRGQVDETC","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"QXCX73CL","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:475211001193d7cf482b10dc67d6bc48ce23efb83f4b1510ed3df423f608c0f2","target":"graph","created_at":"2026-05-18T01:31:38Z","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"},"paper":{"abstract_excerpt":"It is well known that the geometrical framework of Riemannian geometry that underlies general relativity and its torsionful extension to Riemann-Cartan geometry can be obtained from a procedure known as gauging the Poincare algebra. Recently it has been shown that gauging the centrally extended Galilei algebra, known as the Bargmann algebra, leads to a geometrical framework that when made dynamical gives rise to Horava-Lifshitz gravity. Here we consider the case where we contract the Poincare algebra by sending the speed of light to zero leading to the Carroll algebra. We show how this algebra","authors_text":"Jelle Hartong","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-19T14:25:48Z","title":"Gauging the Carroll Algebra and Ultra-Relativistic Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05011","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":"sha256:5f78103c40c2093999d8ef200ab0574ebd679a4262f1fefed7830edb7f4104e9","target":"record","created_at":"2026-05-18T01:31:38Z","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":"1a6e24fe1a7e3d5a0205f1626e1f9808b259629f660fe447db67174c7d753088","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-19T14:25:48Z","title_canon_sha256":"424d3d65c02f80028402ee2054ee21c3425fd9b4b4916c576e3802d0e2e8ca03"},"schema_version":"1.0","source":{"id":"1505.05011","kind":"arxiv","version":1}},"canonical_sha256":"85c57fec4b89a1519262b56fff428dd90059ac58c76377649aa085971f07777e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85c57fec4b89a1519262b56fff428dd90059ac58c76377649aa085971f07777e","first_computed_at":"2026-05-18T01:31:38.993821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:38.993821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qZfBl5k+Xl0Vrrq0SMo2G59J+7RTX0Q2GSjSrtc9w+pq81o7GJFUnQxKtc2JsILQi8ggrd8RNWvNbi68D8r7Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:38.994397Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05011","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f78103c40c2093999d8ef200ab0574ebd679a4262f1fefed7830edb7f4104e9","sha256:475211001193d7cf482b10dc67d6bc48ce23efb83f4b1510ed3df423f608c0f2"],"state_sha256":"c0a19f5327034883a3a6a476b7b5797395edd38a1395dcf15d38bbdead595a86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PDjUxUxXskFSGTXB1zhHV6GLLf7fZUSym7jf6paKDhhOwWi2Y0LV9nGCMvMz+reBqwt6keqjxKgFgZA3tHqDDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:23:06.468430Z","bundle_sha256":"490bd5fb24e5d4b1d87b8975c280366523e4c8546a420124b96d449da3f29898"}}