{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:S4IYQ5HNS62DZZV7GKHBUQYCFJ","short_pith_number":"pith:S4IYQ5HN","canonical_record":{"source":{"id":"1801.08173","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-24T20:10:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"edd054d5420ca037ff738780053120a621eb770488c78aa22db3ffe227150865","abstract_canon_sha256":"7ab687758425ff0a2961ea2265abd043954573473ccf0ea34e33865c288aa1fe"},"schema_version":"1.0"},"canonical_sha256":"97118874ed97b43ce6bf328e1a43022a6a29bde9775cb2179ed714ecf459ca54","source":{"kind":"arxiv","id":"1801.08173","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08173","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08173v1","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08173","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"pith_short_12","alias_value":"S4IYQ5HNS62D","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S4IYQ5HNS62DZZV7","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S4IYQ5HN","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:S4IYQ5HNS62DZZV7GKHBUQYCFJ","target":"record","payload":{"canonical_record":{"source":{"id":"1801.08173","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-24T20:10:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"edd054d5420ca037ff738780053120a621eb770488c78aa22db3ffe227150865","abstract_canon_sha256":"7ab687758425ff0a2961ea2265abd043954573473ccf0ea34e33865c288aa1fe"},"schema_version":"1.0"},"canonical_sha256":"97118874ed97b43ce6bf328e1a43022a6a29bde9775cb2179ed714ecf459ca54","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:06.931966Z","signature_b64":"Wl2HjCD3KUoROrnKNdh3rJzBQxHGipdlR5XdgxOAWUXXEAK8gCpHIM8Ppf+h2oRsP4gyhuk4/z2hXjGq4Nd+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97118874ed97b43ce6bf328e1a43022a6a29bde9775cb2179ed714ecf459ca54","last_reissued_at":"2026-05-18T00:25:06.931474Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:06.931474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.08173","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":"2026-05-18T00:25:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aKl9eXqm/pVzIuGpwaizLdbX9owhJmT6XMigXoa5f/mClC0eBHNACT0v7vtvpu9wWyrdLQ3UYa0jHOcHZkJFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:43:14.127899Z"},"content_sha256":"eec52b5a44f7de71d0aaa66c51f233b162c9f13823cf7910a61dc15934d6d301","schema_version":"1.0","event_id":"sha256:eec52b5a44f7de71d0aaa66c51f233b162c9f13823cf7910a61dc15934d6d301"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:S4IYQ5HNS62DZZV7GKHBUQYCFJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hamilton Geometry - Phase Space Geometry from Modified Dispersion Relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Christian Pfeifer, Giulia Gubitosi, Leonardo Barcaroli, Lukas K. Brunkhorst, Niccol\\'o Loret","submitted_at":"2018-01-24T20:10:38Z","abstract_excerpt":"Quantum gravity phenomenology suggests an effective modification of the general relativistic dispersion relation of freely falling point particles caused by an underlying theory of quantum gravity. Here we analyse the consequences of modifications of the general relativistic dispersion on the geometry of spacetime in the language of Hamilton geometry. The dispersion relation is interpreted as the Hamiltonian which determines the motion of point particles. It is a function on the cotangent bundle of spacetime, i.e. on phase space, and determines the geometry of phase space completely, in a simi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08173","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":"2026-05-18T00:25:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OGq/J47Yd5Ykx3FjSdNDKCd1VK6DCd4lK3JTOG+QUArhdJZe7levPCDKKIRBF5HKHzuAeeSYwdpZdOU+h3W5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:43:14.128240Z"},"content_sha256":"253aa5e5aab722f65140d42b6af35104deddd6e0d2c97a3403b5ff1753b4463e","schema_version":"1.0","event_id":"sha256:253aa5e5aab722f65140d42b6af35104deddd6e0d2c97a3403b5ff1753b4463e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S4IYQ5HNS62DZZV7GKHBUQYCFJ/bundle.json","state_url":"https://pith.science/pith/S4IYQ5HNS62DZZV7GKHBUQYCFJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S4IYQ5HNS62DZZV7GKHBUQYCFJ/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":"2026-06-06T19:43:14Z","links":{"resolver":"https://pith.science/pith/S4IYQ5HNS62DZZV7GKHBUQYCFJ","bundle":"https://pith.science/pith/S4IYQ5HNS62DZZV7GKHBUQYCFJ/bundle.json","state":"https://pith.science/pith/S4IYQ5HNS62DZZV7GKHBUQYCFJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S4IYQ5HNS62DZZV7GKHBUQYCFJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:S4IYQ5HNS62DZZV7GKHBUQYCFJ","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":"7ab687758425ff0a2961ea2265abd043954573473ccf0ea34e33865c288aa1fe","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-24T20:10:38Z","title_canon_sha256":"edd054d5420ca037ff738780053120a621eb770488c78aa22db3ffe227150865"},"schema_version":"1.0","source":{"id":"1801.08173","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08173","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08173v1","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08173","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"pith_short_12","alias_value":"S4IYQ5HNS62D","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S4IYQ5HNS62DZZV7","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S4IYQ5HN","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:253aa5e5aab722f65140d42b6af35104deddd6e0d2c97a3403b5ff1753b4463e","target":"graph","created_at":"2026-05-18T00:25:06Z","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":"Quantum gravity phenomenology suggests an effective modification of the general relativistic dispersion relation of freely falling point particles caused by an underlying theory of quantum gravity. Here we analyse the consequences of modifications of the general relativistic dispersion on the geometry of spacetime in the language of Hamilton geometry. The dispersion relation is interpreted as the Hamiltonian which determines the motion of point particles. It is a function on the cotangent bundle of spacetime, i.e. on phase space, and determines the geometry of phase space completely, in a simi","authors_text":"Christian Pfeifer, Giulia Gubitosi, Leonardo Barcaroli, Lukas K. Brunkhorst, Niccol\\'o Loret","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-24T20:10:38Z","title":"Hamilton Geometry - Phase Space Geometry from Modified Dispersion Relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08173","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:eec52b5a44f7de71d0aaa66c51f233b162c9f13823cf7910a61dc15934d6d301","target":"record","created_at":"2026-05-18T00:25:06Z","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":"7ab687758425ff0a2961ea2265abd043954573473ccf0ea34e33865c288aa1fe","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-24T20:10:38Z","title_canon_sha256":"edd054d5420ca037ff738780053120a621eb770488c78aa22db3ffe227150865"},"schema_version":"1.0","source":{"id":"1801.08173","kind":"arxiv","version":1}},"canonical_sha256":"97118874ed97b43ce6bf328e1a43022a6a29bde9775cb2179ed714ecf459ca54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97118874ed97b43ce6bf328e1a43022a6a29bde9775cb2179ed714ecf459ca54","first_computed_at":"2026-05-18T00:25:06.931474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:06.931474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wl2HjCD3KUoROrnKNdh3rJzBQxHGipdlR5XdgxOAWUXXEAK8gCpHIM8Ppf+h2oRsP4gyhuk4/z2hXjGq4Nd+BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:06.931966Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.08173","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eec52b5a44f7de71d0aaa66c51f233b162c9f13823cf7910a61dc15934d6d301","sha256:253aa5e5aab722f65140d42b6af35104deddd6e0d2c97a3403b5ff1753b4463e"],"state_sha256":"f1c0e76d9c7130eb7935ef0082f9be95dfa87394cc81177628fe83068df59871"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q62V8g3qc9T56sH8qapweK40jUx/Np6lbIwIbYQbKS1xH38Zb1zMkjuhSgB4NIT10W/Y++NIXB3AZAtJGupWCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:43:14.130481Z","bundle_sha256":"ef6548c01fe1cb2ab7b08246ea9c0b6462b18d0e1e0cbcd363b31e83a5d574d7"}}