{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:EIM5MSKNFVE2JVDOCM3MCJWWR5","short_pith_number":"pith:EIM5MSKN","canonical_record":{"source":{"id":"1010.4729","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-22T14:40:14Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"d51aaaed9b2b8f5d629c52cc2ef6225dce29ea1f21135f8d2411881a03e7fddb","abstract_canon_sha256":"8ed66daa6fa83e56bf9c0abd7df559fdfe6dd0c268939d313bcded462e1458da"},"schema_version":"1.0"},"canonical_sha256":"2219d6494d2d49a4d46e1336c126d68f7407853b298bdee3d09a3a00517e2c7c","source":{"kind":"arxiv","id":"1010.4729","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4729","created_at":"2026-05-18T04:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4729v3","created_at":"2026-05-18T04:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4729","created_at":"2026-05-18T04:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"EIM5MSKNFVE2","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EIM5MSKNFVE2JVDO","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EIM5MSKN","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:EIM5MSKNFVE2JVDOCM3MCJWWR5","target":"record","payload":{"canonical_record":{"source":{"id":"1010.4729","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-22T14:40:14Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"d51aaaed9b2b8f5d629c52cc2ef6225dce29ea1f21135f8d2411881a03e7fddb","abstract_canon_sha256":"8ed66daa6fa83e56bf9c0abd7df559fdfe6dd0c268939d313bcded462e1458da"},"schema_version":"1.0"},"canonical_sha256":"2219d6494d2d49a4d46e1336c126d68f7407853b298bdee3d09a3a00517e2c7c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:41.405671Z","signature_b64":"2cVQa06c6Awped46RaULjnpX+nkZCuUvNeHyb1Z41semRBObNdJy82lK+Jo2XvqIzlnPzuWxdqXCzFq5FMOeCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2219d6494d2d49a4d46e1336c126d68f7407853b298bdee3d09a3a00517e2c7c","last_reissued_at":"2026-05-18T04:22:41.405215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:41.405215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.4729","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V0yWRghWdspckHAm7mhnK3rUUJH2BVcD+AigK5QTuH69WSko5uHafY9vhq82A1nuN8K1dS/10WsKDjab4UlZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:28:31.101224Z"},"content_sha256":"a1c63c4512d967ddc24732a0e507bb7d367a4d00933515982eedb7d9298bc027","schema_version":"1.0","event_id":"sha256:a1c63c4512d967ddc24732a0e507bb7d367a4d00933515982eedb7d9298bc027"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:EIM5MSKNFVE2JVDOCM3MCJWWR5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropic Gravity, Phase-Space Noncommutativity and the Equivalence Principle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Catarina Bastos, Jo\\~ao Nuno Prata, Nuno Costa Dias, Orfeu Bertolami","submitted_at":"2010-10-22T14:40:14Z","abstract_excerpt":"We generalize E. Verlinde's entropic gravity reasoning to a phase-space noncommutativity set-up. This allow us to impose a bound on the product of the noncommutative parameters based on the Equivalence Principle. The key feature of our analysis is an effective Planck's constant that naturally arises when accounting for the noncommutative features of the phase-space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4729","kind":"arxiv","version":3},"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":"2026-05-18T04:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xzbnk8pAJ3e49yok6RpIG4hRYovgZpehWOa2oApHKJnSZsEXMDulRx0X2EA2u8qE8enNUVD05GUF//2QG1EQBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:28:31.101808Z"},"content_sha256":"9b8444acf8fdeba9bcfec7d6b04e848343238ad5fd8d8dc4393d97776acf5468","schema_version":"1.0","event_id":"sha256:9b8444acf8fdeba9bcfec7d6b04e848343238ad5fd8d8dc4393d97776acf5468"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EIM5MSKNFVE2JVDOCM3MCJWWR5/bundle.json","state_url":"https://pith.science/pith/EIM5MSKNFVE2JVDOCM3MCJWWR5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EIM5MSKNFVE2JVDOCM3MCJWWR5/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":"2026-05-25T19:28:31Z","links":{"resolver":"https://pith.science/pith/EIM5MSKNFVE2JVDOCM3MCJWWR5","bundle":"https://pith.science/pith/EIM5MSKNFVE2JVDOCM3MCJWWR5/bundle.json","state":"https://pith.science/pith/EIM5MSKNFVE2JVDOCM3MCJWWR5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EIM5MSKNFVE2JVDOCM3MCJWWR5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EIM5MSKNFVE2JVDOCM3MCJWWR5","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":"8ed66daa6fa83e56bf9c0abd7df559fdfe6dd0c268939d313bcded462e1458da","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-22T14:40:14Z","title_canon_sha256":"d51aaaed9b2b8f5d629c52cc2ef6225dce29ea1f21135f8d2411881a03e7fddb"},"schema_version":"1.0","source":{"id":"1010.4729","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4729","created_at":"2026-05-18T04:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4729v3","created_at":"2026-05-18T04:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4729","created_at":"2026-05-18T04:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"EIM5MSKNFVE2","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EIM5MSKNFVE2JVDO","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EIM5MSKN","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:9b8444acf8fdeba9bcfec7d6b04e848343238ad5fd8d8dc4393d97776acf5468","target":"graph","created_at":"2026-05-18T04:22:41Z","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":"We generalize E. Verlinde's entropic gravity reasoning to a phase-space noncommutativity set-up. This allow us to impose a bound on the product of the noncommutative parameters based on the Equivalence Principle. The key feature of our analysis is an effective Planck's constant that naturally arises when accounting for the noncommutative features of the phase-space.","authors_text":"Catarina Bastos, Jo\\~ao Nuno Prata, Nuno Costa Dias, Orfeu Bertolami","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-22T14:40:14Z","title":"Entropic Gravity, Phase-Space Noncommutativity and the Equivalence Principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4729","kind":"arxiv","version":3},"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:a1c63c4512d967ddc24732a0e507bb7d367a4d00933515982eedb7d9298bc027","target":"record","created_at":"2026-05-18T04:22:41Z","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":"8ed66daa6fa83e56bf9c0abd7df559fdfe6dd0c268939d313bcded462e1458da","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-22T14:40:14Z","title_canon_sha256":"d51aaaed9b2b8f5d629c52cc2ef6225dce29ea1f21135f8d2411881a03e7fddb"},"schema_version":"1.0","source":{"id":"1010.4729","kind":"arxiv","version":3}},"canonical_sha256":"2219d6494d2d49a4d46e1336c126d68f7407853b298bdee3d09a3a00517e2c7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2219d6494d2d49a4d46e1336c126d68f7407853b298bdee3d09a3a00517e2c7c","first_computed_at":"2026-05-18T04:22:41.405215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:41.405215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2cVQa06c6Awped46RaULjnpX+nkZCuUvNeHyb1Z41semRBObNdJy82lK+Jo2XvqIzlnPzuWxdqXCzFq5FMOeCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:41.405671Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.4729","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1c63c4512d967ddc24732a0e507bb7d367a4d00933515982eedb7d9298bc027","sha256:9b8444acf8fdeba9bcfec7d6b04e848343238ad5fd8d8dc4393d97776acf5468"],"state_sha256":"fbfcb168607b7b9dde794ab0fea1e8dc7e839aecbd0b120be90e9521885700b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zk5zlVq22MUQIdREz60Uqv+PS+9gtd4DvENGyby2fowtx6azmUr2FIs6a5rihpLqupAeIlYOqPHWAWMHzlzoCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:28:31.105496Z","bundle_sha256":"1e0fc8f9ff02f59dbbc1e0b16e8b22b1f59ac2bc8be35db08afd1fe7a1bc4555"}}