{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:5TQSPKG6WW3ICV2F766VW5YI7F","short_pith_number":"pith:5TQSPKG6","canonical_record":{"source":{"id":"1703.02058","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-03-06T19:01:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3d4d1aed38e39bbec5f69bb26d5dab2eb5728442c766da6386564fdea0ce2c9c","abstract_canon_sha256":"ceaa1194dddc1362ccac600a4e86a797a3981143742161f2af82845bdb6188de"},"schema_version":"1.0"},"canonical_sha256":"ece127a8deb5b6815745ffbd5b7708f95bbcfd5c331c146c9cbb3adff8283f6b","source":{"kind":"arxiv","id":"1703.02058","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.02058","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"arxiv_version","alias_value":"1703.02058v2","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.02058","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"pith_short_12","alias_value":"5TQSPKG6WW3I","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5TQSPKG6WW3ICV2F","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5TQSPKG6","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:5TQSPKG6WW3ICV2F766VW5YI7F","target":"record","payload":{"canonical_record":{"source":{"id":"1703.02058","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-03-06T19:01:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3d4d1aed38e39bbec5f69bb26d5dab2eb5728442c766da6386564fdea0ce2c9c","abstract_canon_sha256":"ceaa1194dddc1362ccac600a4e86a797a3981143742161f2af82845bdb6188de"},"schema_version":"1.0"},"canonical_sha256":"ece127a8deb5b6815745ffbd5b7708f95bbcfd5c331c146c9cbb3adff8283f6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:32.207243Z","signature_b64":"0utuqdXkz3QobByQRXfyHX+sbZa9mz7/YhzzIuI5XJtB78XtT3CKGzG5FY9CtTHBKaal9XxreyS21CJ7CEjfDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ece127a8deb5b6815745ffbd5b7708f95bbcfd5c331c146c9cbb3adff8283f6b","last_reissued_at":"2026-05-18T00:33:32.206753Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:32.206753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.02058","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I8kdXRxDx3d5POjnBAep5/OJY/YOolkn5RrS06cc6K5+BAJZAV6EMT8svEUEbze6vvpWbC20jyCV7bPqo1NiAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T02:27:22.892232Z"},"content_sha256":"f66a5680cb99900978a84fbf7a5e9e66b8fb080a2b56b3c3d9f8da5bfde3454c","schema_version":"1.0","event_id":"sha256:f66a5680cb99900978a84fbf7a5e9e66b8fb080a2b56b3c3d9f8da5bfde3454c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:5TQSPKG6WW3ICV2F766VW5YI7F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Curved spacetimes with local $\\kappa$-Poincar\\'e dispersion relation","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":"2017-03-06T19:01:01Z","abstract_excerpt":"We use our previously developed identification of dispersion relations with Hamilton functions on phase space to locally implement the $\\kappa$-Poincar\\'e dispersion relation in the momentum spaces at each point of a generic curved spacetime. We use this general construction to build the most general Hamiltonian compatible with spherical symmetry and the Plank-scale-deformed one such that in the local frame it reproduces the $\\kappa$-Poincar\\'e dispersion relation. Specializing to Planck-scale-deformed Schwarzschild geometry, we find that the photon sphere around a black hole becomes a thick s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02058","kind":"arxiv","version":2},"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":"2026-05-18T00:33:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s+H0GdP9f/0aYl6gegFxPwEqCCjXlkeFt+zqUiZDcp8ssCXEDFH/YND4ztDq4jG8mLEX7KAMW9YB8kAdptXlBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T02:27:22.892597Z"},"content_sha256":"6efffb7fc31573fbd4da31a15aedde32e39a0141ec9ee54c45fdb8177c1e8cb7","schema_version":"1.0","event_id":"sha256:6efffb7fc31573fbd4da31a15aedde32e39a0141ec9ee54c45fdb8177c1e8cb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5TQSPKG6WW3ICV2F766VW5YI7F/bundle.json","state_url":"https://pith.science/pith/5TQSPKG6WW3ICV2F766VW5YI7F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5TQSPKG6WW3ICV2F766VW5YI7F/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":"2026-06-05T02:27:22Z","links":{"resolver":"https://pith.science/pith/5TQSPKG6WW3ICV2F766VW5YI7F","bundle":"https://pith.science/pith/5TQSPKG6WW3ICV2F766VW5YI7F/bundle.json","state":"https://pith.science/pith/5TQSPKG6WW3ICV2F766VW5YI7F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5TQSPKG6WW3ICV2F766VW5YI7F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5TQSPKG6WW3ICV2F766VW5YI7F","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":"ceaa1194dddc1362ccac600a4e86a797a3981143742161f2af82845bdb6188de","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-03-06T19:01:01Z","title_canon_sha256":"3d4d1aed38e39bbec5f69bb26d5dab2eb5728442c766da6386564fdea0ce2c9c"},"schema_version":"1.0","source":{"id":"1703.02058","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.02058","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"arxiv_version","alias_value":"1703.02058v2","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.02058","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"pith_short_12","alias_value":"5TQSPKG6WW3I","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5TQSPKG6WW3ICV2F","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5TQSPKG6","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:6efffb7fc31573fbd4da31a15aedde32e39a0141ec9ee54c45fdb8177c1e8cb7","target":"graph","created_at":"2026-05-18T00:33:32Z","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 use our previously developed identification of dispersion relations with Hamilton functions on phase space to locally implement the $\\kappa$-Poincar\\'e dispersion relation in the momentum spaces at each point of a generic curved spacetime. We use this general construction to build the most general Hamiltonian compatible with spherical symmetry and the Plank-scale-deformed one such that in the local frame it reproduces the $\\kappa$-Poincar\\'e dispersion relation. Specializing to Planck-scale-deformed Schwarzschild geometry, we find that the photon sphere around a black hole becomes a thick s","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":"2017-03-06T19:01:01Z","title":"Curved spacetimes with local $\\kappa$-Poincar\\'e dispersion relation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02058","kind":"arxiv","version":2},"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:f66a5680cb99900978a84fbf7a5e9e66b8fb080a2b56b3c3d9f8da5bfde3454c","target":"record","created_at":"2026-05-18T00:33:32Z","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":"ceaa1194dddc1362ccac600a4e86a797a3981143742161f2af82845bdb6188de","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-03-06T19:01:01Z","title_canon_sha256":"3d4d1aed38e39bbec5f69bb26d5dab2eb5728442c766da6386564fdea0ce2c9c"},"schema_version":"1.0","source":{"id":"1703.02058","kind":"arxiv","version":2}},"canonical_sha256":"ece127a8deb5b6815745ffbd5b7708f95bbcfd5c331c146c9cbb3adff8283f6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ece127a8deb5b6815745ffbd5b7708f95bbcfd5c331c146c9cbb3adff8283f6b","first_computed_at":"2026-05-18T00:33:32.206753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:32.206753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0utuqdXkz3QobByQRXfyHX+sbZa9mz7/YhzzIuI5XJtB78XtT3CKGzG5FY9CtTHBKaal9XxreyS21CJ7CEjfDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:32.207243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.02058","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f66a5680cb99900978a84fbf7a5e9e66b8fb080a2b56b3c3d9f8da5bfde3454c","sha256:6efffb7fc31573fbd4da31a15aedde32e39a0141ec9ee54c45fdb8177c1e8cb7"],"state_sha256":"630dba3cc59147aa5e4cbece43764617bbde10b31b3234d4994bb3a3537171e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JWil104+U1263BA7NWqZAlN1e6+HOIAe61aZU72XNcxBxnwAG4e4v60fBAFNAzs2U/3bd2GQv6W5Wm/z0liJAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T02:27:22.894675Z","bundle_sha256":"ced9c4ed40da92c11ef4a49d6d5e184aa1ea3c5b78090dccc91b949867fb3156"}}