{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:XHR4B6S42PCK3FFBEDMQVYBLY3","short_pith_number":"pith:XHR4B6S4","canonical_record":{"source":{"id":"2404.06375","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-09T15:18:50Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"d72f561d4b1350176208d04dec1e9288ae738d4d4c3f8f3ebf09e9e5fc6ebef0","abstract_canon_sha256":"1d88bfd87503f5714697f6fd62344b4d6fea3dd36f5402fcdc03c1a1b69fbac5"},"schema_version":"1.0"},"canonical_sha256":"b9e3c0fa5cd3c4ad94a120d90ae02bc6f4240f13af8d82e3c2aceb1dab0564f9","source":{"kind":"arxiv","id":"2404.06375","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.06375","created_at":"2026-07-05T08:06:08Z"},{"alias_kind":"arxiv_version","alias_value":"2404.06375v1","created_at":"2026-07-05T08:06:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.06375","created_at":"2026-07-05T08:06:08Z"},{"alias_kind":"pith_short_12","alias_value":"XHR4B6S42PCK","created_at":"2026-07-05T08:06:08Z"},{"alias_kind":"pith_short_16","alias_value":"XHR4B6S42PCK3FFB","created_at":"2026-07-05T08:06:08Z"},{"alias_kind":"pith_short_8","alias_value":"XHR4B6S4","created_at":"2026-07-05T08:06:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:XHR4B6S42PCK3FFBEDMQVYBLY3","target":"record","payload":{"canonical_record":{"source":{"id":"2404.06375","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-09T15:18:50Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"d72f561d4b1350176208d04dec1e9288ae738d4d4c3f8f3ebf09e9e5fc6ebef0","abstract_canon_sha256":"1d88bfd87503f5714697f6fd62344b4d6fea3dd36f5402fcdc03c1a1b69fbac5"},"schema_version":"1.0"},"canonical_sha256":"b9e3c0fa5cd3c4ad94a120d90ae02bc6f4240f13af8d82e3c2aceb1dab0564f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:06:08.329831Z","signature_b64":"0luUXAO1hF22i0pTO0kfDxJzXTzRXPUiCv7R3p4njbEL9LHM8vgK4eCwRTjNT6aG5Bf16sarBiWnF9UBlhflCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9e3c0fa5cd3c4ad94a120d90ae02bc6f4240f13af8d82e3c2aceb1dab0564f9","last_reissued_at":"2026-07-05T08:06:08.329375Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:06:08.329375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.06375","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":"2026-07-05T08:06:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Bk50uBk7aWP7+X5Gs/PQJyOQ7lPuFrhhG6axXfscddkBScjUgOZAsDxcB49DWyzLFv5jmQQSRd58FbEl3KAAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T01:58:13.331956Z"},"content_sha256":"b8270a4d72f6472f322d40bf3bb1028bb3d8f0614c8be30b193ef9fb250af6d5","schema_version":"1.0","event_id":"sha256:b8270a4d72f6472f322d40bf3bb1028bb3d8f0614c8be30b193ef9fb250af6d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:XHR4B6S42PCK3FFBEDMQVYBLY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergent Modified Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Erick I. Duque, Martin Bojowald","submitted_at":"2024-04-09T15:18:50Z","abstract_excerpt":"A complete canonical formulation of general covariance makes it possible to construct new modified theories of gravity that are not of higher-curvature form, as shown here in a spherically symmetric setting. The usual uniqueness theorems are evaded by using a crucial and novel ingredient, allowing for fundamental fields of gravity distinct from an emergent space-time metric that provides a geometrical structure to all solutions. As specific examples, there are new expansion-shear couplings in cosmological models, a form of modified Newtonian dynamics (MOND) can appear in a space-time covariant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.06375","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/2404.06375/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":"2026-07-05T08:06:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ay8q5gqxPXB2hYRdXJc7beEzBZhhVghLDjZP2bCmDVMsbPWrn+Ba8RGPFBTBvFCoYhq2UNdcch2LtPI37LcTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T01:58:13.332456Z"},"content_sha256":"6963705315d5f0c8844b71484a1fdf7080247fed9736241b2c98b69a1a8d16f4","schema_version":"1.0","event_id":"sha256:6963705315d5f0c8844b71484a1fdf7080247fed9736241b2c98b69a1a8d16f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XHR4B6S42PCK3FFBEDMQVYBLY3/bundle.json","state_url":"https://pith.science/pith/XHR4B6S42PCK3FFBEDMQVYBLY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XHR4B6S42PCK3FFBEDMQVYBLY3/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":"2026-08-09T01:58:13Z","links":{"resolver":"https://pith.science/pith/XHR4B6S42PCK3FFBEDMQVYBLY3","bundle":"https://pith.science/pith/XHR4B6S42PCK3FFBEDMQVYBLY3/bundle.json","state":"https://pith.science/pith/XHR4B6S42PCK3FFBEDMQVYBLY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XHR4B6S42PCK3FFBEDMQVYBLY3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XHR4B6S42PCK3FFBEDMQVYBLY3","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":"1d88bfd87503f5714697f6fd62344b4d6fea3dd36f5402fcdc03c1a1b69fbac5","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-09T15:18:50Z","title_canon_sha256":"d72f561d4b1350176208d04dec1e9288ae738d4d4c3f8f3ebf09e9e5fc6ebef0"},"schema_version":"1.0","source":{"id":"2404.06375","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.06375","created_at":"2026-07-05T08:06:08Z"},{"alias_kind":"arxiv_version","alias_value":"2404.06375v1","created_at":"2026-07-05T08:06:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.06375","created_at":"2026-07-05T08:06:08Z"},{"alias_kind":"pith_short_12","alias_value":"XHR4B6S42PCK","created_at":"2026-07-05T08:06:08Z"},{"alias_kind":"pith_short_16","alias_value":"XHR4B6S42PCK3FFB","created_at":"2026-07-05T08:06:08Z"},{"alias_kind":"pith_short_8","alias_value":"XHR4B6S4","created_at":"2026-07-05T08:06:08Z"}],"graph_snapshots":[{"event_id":"sha256:6963705315d5f0c8844b71484a1fdf7080247fed9736241b2c98b69a1a8d16f4","target":"graph","created_at":"2026-07-05T08:06:08Z","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/2404.06375/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A complete canonical formulation of general covariance makes it possible to construct new modified theories of gravity that are not of higher-curvature form, as shown here in a spherically symmetric setting. The usual uniqueness theorems are evaded by using a crucial and novel ingredient, allowing for fundamental fields of gravity distinct from an emergent space-time metric that provides a geometrical structure to all solutions. As specific examples, there are new expansion-shear couplings in cosmological models, a form of modified Newtonian dynamics (MOND) can appear in a space-time covariant","authors_text":"Erick I. Duque, Martin Bojowald","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-09T15:18:50Z","title":"Emergent Modified Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.06375","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:b8270a4d72f6472f322d40bf3bb1028bb3d8f0614c8be30b193ef9fb250af6d5","target":"record","created_at":"2026-07-05T08:06:08Z","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":"1d88bfd87503f5714697f6fd62344b4d6fea3dd36f5402fcdc03c1a1b69fbac5","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-09T15:18:50Z","title_canon_sha256":"d72f561d4b1350176208d04dec1e9288ae738d4d4c3f8f3ebf09e9e5fc6ebef0"},"schema_version":"1.0","source":{"id":"2404.06375","kind":"arxiv","version":1}},"canonical_sha256":"b9e3c0fa5cd3c4ad94a120d90ae02bc6f4240f13af8d82e3c2aceb1dab0564f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9e3c0fa5cd3c4ad94a120d90ae02bc6f4240f13af8d82e3c2aceb1dab0564f9","first_computed_at":"2026-07-05T08:06:08.329375Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:06:08.329375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0luUXAO1hF22i0pTO0kfDxJzXTzRXPUiCv7R3p4njbEL9LHM8vgK4eCwRTjNT6aG5Bf16sarBiWnF9UBlhflCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:06:08.329831Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.06375","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8270a4d72f6472f322d40bf3bb1028bb3d8f0614c8be30b193ef9fb250af6d5","sha256:6963705315d5f0c8844b71484a1fdf7080247fed9736241b2c98b69a1a8d16f4"],"state_sha256":"9c677f1869e53ec835df22ad574f166100a8edbfc0ad744f18f58a5f23eacd02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BenoHdmXDr4ROAmzn6q6qE0fzrO1VrwJ5KbxWQcdvDvjTV77Lu3D86VfxysngynDtZE4Sj8A+zoUmn1IGF5oDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T01:58:13.336372Z","bundle_sha256":"89586e56dadca31370d120c758cde392664f5899e815c16003f0ec39d56a63a6"}}