{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:Z7HBKNE3XD7EOR7VCS4HNKAM7K","short_pith_number":"pith:Z7HBKNE3","canonical_record":{"source":{"id":"2207.09967","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-20T15:19:49Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"b125d61ed51e8b85723538afc0ba94bb7987e23e9bc6431b618318306291cc4b","abstract_canon_sha256":"f612c63b49615cdb30328777945ecbd5a027d4f0f787664d108257663ce0a1ea"},"schema_version":"1.0"},"canonical_sha256":"cfce15349bb8fe4747f514b876a80cfaac68d2b204ee771c24d5f4b7ad4a6e00","source":{"kind":"arxiv","id":"2207.09967","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.09967","created_at":"2026-07-05T10:37:18Z"},{"alias_kind":"arxiv_version","alias_value":"2207.09967v1","created_at":"2026-07-05T10:37:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.09967","created_at":"2026-07-05T10:37:18Z"},{"alias_kind":"pith_short_12","alias_value":"Z7HBKNE3XD7E","created_at":"2026-07-05T10:37:18Z"},{"alias_kind":"pith_short_16","alias_value":"Z7HBKNE3XD7EOR7V","created_at":"2026-07-05T10:37:18Z"},{"alias_kind":"pith_short_8","alias_value":"Z7HBKNE3","created_at":"2026-07-05T10:37:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:Z7HBKNE3XD7EOR7VCS4HNKAM7K","target":"record","payload":{"canonical_record":{"source":{"id":"2207.09967","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-20T15:19:49Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"b125d61ed51e8b85723538afc0ba94bb7987e23e9bc6431b618318306291cc4b","abstract_canon_sha256":"f612c63b49615cdb30328777945ecbd5a027d4f0f787664d108257663ce0a1ea"},"schema_version":"1.0"},"canonical_sha256":"cfce15349bb8fe4747f514b876a80cfaac68d2b204ee771c24d5f4b7ad4a6e00","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:37:18.916575Z","signature_b64":"Zfeu8vpPLgrUpXXeel+1ug0gKNg1mPSz6jyzQvnZrDFnLW2ryEx28HO7R7eVnsZ0TbXBrY/BFWbxlM1Bbm4SBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfce15349bb8fe4747f514b876a80cfaac68d2b204ee771c24d5f4b7ad4a6e00","last_reissued_at":"2026-07-05T10:37:18.916070Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:37:18.916070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.09967","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":"2026-07-05T10:37:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Kk/jdZPW/PpV2IAG9LejvXOMz581H/LbUG3RmCVuT53MfpBUiN1mvyp5QeKlDuXdxMJ0J5TeUM8uEQA1a6CCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T10:07:47.820260Z"},"content_sha256":"dbb08b1d266184ae20e714de44f5b63bec3cb20b57b0927d80294c5872418864","schema_version":"1.0","event_id":"sha256:dbb08b1d266184ae20e714de44f5b63bec3cb20b57b0927d80294c5872418864"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:Z7HBKNE3XD7EOR7VCS4HNKAM7K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dark Matter as an effect of a minimal length","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"gr-qc","authors_text":"Giuseppe Gaetano Luciano, Mitja Fridman, Pasquale Bosso","submitted_at":"2022-07-20T15:19:49Z","abstract_excerpt":"In this work, we consider the implications of a phenomenological model of quantum gravitational effects related to a minimal length, implemented via the Generalized Uncertainty Principle. Such effects are applied to the Bekenstein-Hawking entropy to derive a modified law of gravity through Verlinde's conjecture. Implications on galactic scales, and in particular on the shape of rotational curves, are investigated, exploring the possibility to mimic dark matter-like effects via a minimal length."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.09967","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/2207.09967/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":"2026-07-05T10:37:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nxbXRpZqWQlUkhHs0e99SQPpOtPLOna2WTtWjiqA47D9OupQBW5nP0xd4/Vzb7nESktKn2PdatTVCxAyMH/NAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T10:07:47.820602Z"},"content_sha256":"769ca4e207a0edeb44c07c67702a410921d155c14f6953f37c8492880fec5c96","schema_version":"1.0","event_id":"sha256:769ca4e207a0edeb44c07c67702a410921d155c14f6953f37c8492880fec5c96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z7HBKNE3XD7EOR7VCS4HNKAM7K/bundle.json","state_url":"https://pith.science/pith/Z7HBKNE3XD7EOR7VCS4HNKAM7K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z7HBKNE3XD7EOR7VCS4HNKAM7K/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":"2026-08-14T10:07:47Z","links":{"resolver":"https://pith.science/pith/Z7HBKNE3XD7EOR7VCS4HNKAM7K","bundle":"https://pith.science/pith/Z7HBKNE3XD7EOR7VCS4HNKAM7K/bundle.json","state":"https://pith.science/pith/Z7HBKNE3XD7EOR7VCS4HNKAM7K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z7HBKNE3XD7EOR7VCS4HNKAM7K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:Z7HBKNE3XD7EOR7VCS4HNKAM7K","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":"f612c63b49615cdb30328777945ecbd5a027d4f0f787664d108257663ce0a1ea","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-20T15:19:49Z","title_canon_sha256":"b125d61ed51e8b85723538afc0ba94bb7987e23e9bc6431b618318306291cc4b"},"schema_version":"1.0","source":{"id":"2207.09967","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.09967","created_at":"2026-07-05T10:37:18Z"},{"alias_kind":"arxiv_version","alias_value":"2207.09967v1","created_at":"2026-07-05T10:37:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.09967","created_at":"2026-07-05T10:37:18Z"},{"alias_kind":"pith_short_12","alias_value":"Z7HBKNE3XD7E","created_at":"2026-07-05T10:37:18Z"},{"alias_kind":"pith_short_16","alias_value":"Z7HBKNE3XD7EOR7V","created_at":"2026-07-05T10:37:18Z"},{"alias_kind":"pith_short_8","alias_value":"Z7HBKNE3","created_at":"2026-07-05T10:37:18Z"}],"graph_snapshots":[{"event_id":"sha256:769ca4e207a0edeb44c07c67702a410921d155c14f6953f37c8492880fec5c96","target":"graph","created_at":"2026-07-05T10:37:18Z","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/2207.09967/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we consider the implications of a phenomenological model of quantum gravitational effects related to a minimal length, implemented via the Generalized Uncertainty Principle. Such effects are applied to the Bekenstein-Hawking entropy to derive a modified law of gravity through Verlinde's conjecture. Implications on galactic scales, and in particular on the shape of rotational curves, are investigated, exploring the possibility to mimic dark matter-like effects via a minimal length.","authors_text":"Giuseppe Gaetano Luciano, Mitja Fridman, Pasquale Bosso","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-20T15:19:49Z","title":"Dark Matter as an effect of a minimal length"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.09967","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:dbb08b1d266184ae20e714de44f5b63bec3cb20b57b0927d80294c5872418864","target":"record","created_at":"2026-07-05T10:37:18Z","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":"f612c63b49615cdb30328777945ecbd5a027d4f0f787664d108257663ce0a1ea","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-20T15:19:49Z","title_canon_sha256":"b125d61ed51e8b85723538afc0ba94bb7987e23e9bc6431b618318306291cc4b"},"schema_version":"1.0","source":{"id":"2207.09967","kind":"arxiv","version":1}},"canonical_sha256":"cfce15349bb8fe4747f514b876a80cfaac68d2b204ee771c24d5f4b7ad4a6e00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cfce15349bb8fe4747f514b876a80cfaac68d2b204ee771c24d5f4b7ad4a6e00","first_computed_at":"2026-07-05T10:37:18.916070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:37:18.916070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zfeu8vpPLgrUpXXeel+1ug0gKNg1mPSz6jyzQvnZrDFnLW2ryEx28HO7R7eVnsZ0TbXBrY/BFWbxlM1Bbm4SBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:37:18.916575Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.09967","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbb08b1d266184ae20e714de44f5b63bec3cb20b57b0927d80294c5872418864","sha256:769ca4e207a0edeb44c07c67702a410921d155c14f6953f37c8492880fec5c96"],"state_sha256":"a37af9dbb68c929ab0b85db682614bd6a9d34fef072eff28d739f2663ec75361"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t+veQHND20I6N4LVgJeyjvrcyC0OIknT2HMz0Bdx/xgZG2UphY5zVrr3JJJ4JAxeweeL6C/BU0sUjt0dlSbWAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T10:07:47.824407Z","bundle_sha256":"530f9900e3a6ddf0927838a5a4484eea2f22a5f8f39633297284afad54ba77c8"}}