{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YENFCBJJ4HCCGE4SDO6AAM3FRD","short_pith_number":"pith:YENFCBJJ","canonical_record":{"source":{"id":"2607.16459","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-17T19:00:40Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"634f304ec137fca8c3cef31fa20fc63fb8a136174ce3657b007077e80eb2b18e","abstract_canon_sha256":"8ce8532b921b2d3b54974d8db62bac56b914f69293e0da75102b8be235f9799a"},"schema_version":"1.0"},"canonical_sha256":"c11a510529e1c42313921bbc00336588d9a715d1b518f7d1be1b2a3f5f037339","source":{"kind":"arxiv","id":"2607.16459","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16459","created_at":"2026-07-21T00:20:19Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16459v1","created_at":"2026-07-21T00:20:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16459","created_at":"2026-07-21T00:20:19Z"},{"alias_kind":"pith_short_12","alias_value":"YENFCBJJ4HCC","created_at":"2026-07-21T00:20:19Z"},{"alias_kind":"pith_short_16","alias_value":"YENFCBJJ4HCCGE4S","created_at":"2026-07-21T00:20:19Z"},{"alias_kind":"pith_short_8","alias_value":"YENFCBJJ","created_at":"2026-07-21T00:20:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YENFCBJJ4HCCGE4SDO6AAM3FRD","target":"record","payload":{"canonical_record":{"source":{"id":"2607.16459","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-17T19:00:40Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"634f304ec137fca8c3cef31fa20fc63fb8a136174ce3657b007077e80eb2b18e","abstract_canon_sha256":"8ce8532b921b2d3b54974d8db62bac56b914f69293e0da75102b8be235f9799a"},"schema_version":"1.0"},"canonical_sha256":"c11a510529e1c42313921bbc00336588d9a715d1b518f7d1be1b2a3f5f037339","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T00:20:19.688503Z","signature_b64":"zgOprW+E/7MCUsRfOXrfweVAFAlU2E9FGlW1zjzHDVFrbLZvguVM1KgGnJ06mnkt6BqpVa0fOTCAwDXZA3MQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c11a510529e1c42313921bbc00336588d9a715d1b518f7d1be1b2a3f5f037339","last_reissued_at":"2026-07-21T00:20:19.687535Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T00:20:19.687535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.16459","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":"2026-07-21T00:20:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XvAJBrCJfCsPj9acxc4dlxmhIVn7ajcbv7ztmLN2iQLe5v7iXGg0UBRCKMuCO9tI+2u8hUJ/b8ru/JvskQyvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T18:29:20.879516Z"},"content_sha256":"215a3f1cb479f27031ace0b4693369203df6e9adf1b62fb947a324c2096f9ae6","schema_version":"1.0","event_id":"sha256:215a3f1cb479f27031ace0b4693369203df6e9adf1b62fb947a324c2096f9ae6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YENFCBJJ4HCCGE4SDO6AAM3FRD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A unified expansion of Einstein's gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Arkachur Bhattacharya, Pushkar Soni","submitted_at":"2026-07-17T19:00:40Z","abstract_excerpt":"Non-Lorentzian theories of gravity, most common of which are Galilean and Carrollian gravity, arise from General relativity under suitable scalings. General relativity can be obtained by gauging the Poincar\\'e algebra. A convenient formulation of non-Lorentzian gravity follows the contraction of the Poincar\\'e algebra in the tangent space to its non-Lorentzian counterparts, e.g. Galilean and Carrollian algebras. In existing literature, different non-Lorentzian theories of gravity have been addressed separately. In this paper, we introduce a single unified framework of expansion to address all "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16459","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/2607.16459/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":"2026-07-21T00:20:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U/AgnbRCqb2IH8Rve3DMBih6H8vTomte38XmyqPc8VZ61Hh0+tDZNeXX1oam92iU2Ce77wEuTbO1X1EdQZPqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T18:29:20.879852Z"},"content_sha256":"2ca9a0312e827fed0d11ed40d236f5dbec97506b6cda96e504a324ead3a3e7bb","schema_version":"1.0","event_id":"sha256:2ca9a0312e827fed0d11ed40d236f5dbec97506b6cda96e504a324ead3a3e7bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YENFCBJJ4HCCGE4SDO6AAM3FRD/bundle.json","state_url":"https://pith.science/pith/YENFCBJJ4HCCGE4SDO6AAM3FRD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YENFCBJJ4HCCGE4SDO6AAM3FRD/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":"2026-07-31T18:29:20Z","links":{"resolver":"https://pith.science/pith/YENFCBJJ4HCCGE4SDO6AAM3FRD","bundle":"https://pith.science/pith/YENFCBJJ4HCCGE4SDO6AAM3FRD/bundle.json","state":"https://pith.science/pith/YENFCBJJ4HCCGE4SDO6AAM3FRD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YENFCBJJ4HCCGE4SDO6AAM3FRD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YENFCBJJ4HCCGE4SDO6AAM3FRD","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":"8ce8532b921b2d3b54974d8db62bac56b914f69293e0da75102b8be235f9799a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-17T19:00:40Z","title_canon_sha256":"634f304ec137fca8c3cef31fa20fc63fb8a136174ce3657b007077e80eb2b18e"},"schema_version":"1.0","source":{"id":"2607.16459","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16459","created_at":"2026-07-21T00:20:19Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16459v1","created_at":"2026-07-21T00:20:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16459","created_at":"2026-07-21T00:20:19Z"},{"alias_kind":"pith_short_12","alias_value":"YENFCBJJ4HCC","created_at":"2026-07-21T00:20:19Z"},{"alias_kind":"pith_short_16","alias_value":"YENFCBJJ4HCCGE4S","created_at":"2026-07-21T00:20:19Z"},{"alias_kind":"pith_short_8","alias_value":"YENFCBJJ","created_at":"2026-07-21T00:20:19Z"}],"graph_snapshots":[{"event_id":"sha256:2ca9a0312e827fed0d11ed40d236f5dbec97506b6cda96e504a324ead3a3e7bb","target":"graph","created_at":"2026-07-21T00:20:19Z","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/2607.16459/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Non-Lorentzian theories of gravity, most common of which are Galilean and Carrollian gravity, arise from General relativity under suitable scalings. General relativity can be obtained by gauging the Poincar\\'e algebra. A convenient formulation of non-Lorentzian gravity follows the contraction of the Poincar\\'e algebra in the tangent space to its non-Lorentzian counterparts, e.g. Galilean and Carrollian algebras. In existing literature, different non-Lorentzian theories of gravity have been addressed separately. In this paper, we introduce a single unified framework of expansion to address all ","authors_text":"Arkachur Bhattacharya, Pushkar Soni","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-17T19:00:40Z","title":"A unified expansion of Einstein's gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16459","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":"sha256:215a3f1cb479f27031ace0b4693369203df6e9adf1b62fb947a324c2096f9ae6","target":"record","created_at":"2026-07-21T00:20:19Z","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":"8ce8532b921b2d3b54974d8db62bac56b914f69293e0da75102b8be235f9799a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-17T19:00:40Z","title_canon_sha256":"634f304ec137fca8c3cef31fa20fc63fb8a136174ce3657b007077e80eb2b18e"},"schema_version":"1.0","source":{"id":"2607.16459","kind":"arxiv","version":1}},"canonical_sha256":"c11a510529e1c42313921bbc00336588d9a715d1b518f7d1be1b2a3f5f037339","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c11a510529e1c42313921bbc00336588d9a715d1b518f7d1be1b2a3f5f037339","first_computed_at":"2026-07-21T00:20:19.687535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T00:20:19.687535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zgOprW+E/7MCUsRfOXrfweVAFAlU2E9FGlW1zjzHDVFrbLZvguVM1KgGnJ06mnkt6BqpVa0fOTCAwDXZA3MQBQ==","signature_status":"signed_v1","signed_at":"2026-07-21T00:20:19.688503Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.16459","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:215a3f1cb479f27031ace0b4693369203df6e9adf1b62fb947a324c2096f9ae6","sha256:2ca9a0312e827fed0d11ed40d236f5dbec97506b6cda96e504a324ead3a3e7bb"],"state_sha256":"e7816070ad005b00e9eca43917c755a0ccea91cf5b03d223805f043bb597c29e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SMwLCCzm3FPJz3jnPVHDqjM3HYYf4u1tffRwajAGfagLzQw3fBfSApiaK9UCKX4SjHx5kOVAxeCWoPoDaWN3Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T18:29:20.884223Z","bundle_sha256":"1d49a22e2a0cff6a8be0df4276fcf64adbd018cef520cfe1b5c54c9cd697017d"}}