{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:3YP5D26NRGRK3I77DRS2KKEXEW","short_pith_number":"pith:3YP5D26N","canonical_record":{"source":{"id":"1902.09132","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-25T08:13:56Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"2d215022585386a89b0f67960fa40ebbd16981cc3d891a04db11a58111cf03d9","abstract_canon_sha256":"5518aeb2411a36a9dc26eb58cb6f444a5a208ab4fcd8203ee814ab319fbdb9bc"},"schema_version":"1.0"},"canonical_sha256":"de1fd1ebcd89a2ada3ff1c65a528972583d102a98d7fa935d4d7a74d0cd63501","source":{"kind":"arxiv","id":"1902.09132","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09132","created_at":"2026-05-17T23:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09132v1","created_at":"2026-05-17T23:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09132","created_at":"2026-05-17T23:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"3YP5D26NRGRK","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"3YP5D26NRGRK3I77","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"3YP5D26N","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:3YP5D26NRGRK3I77DRS2KKEXEW","target":"record","payload":{"canonical_record":{"source":{"id":"1902.09132","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-25T08:13:56Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"2d215022585386a89b0f67960fa40ebbd16981cc3d891a04db11a58111cf03d9","abstract_canon_sha256":"5518aeb2411a36a9dc26eb58cb6f444a5a208ab4fcd8203ee814ab319fbdb9bc"},"schema_version":"1.0"},"canonical_sha256":"de1fd1ebcd89a2ada3ff1c65a528972583d102a98d7fa935d4d7a74d0cd63501","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:32.824408Z","signature_b64":"gEyUOmm9WVvupyPxgctIXOzCgCZO9RfpZrpMqMYLDtKJyehAggfNVdoozmMQAynATUJz7Gy2KlJ5m4KBdMaWCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de1fd1ebcd89a2ada3ff1c65a528972583d102a98d7fa935d4d7a74d0cd63501","last_reissued_at":"2026-05-17T23:49:32.823731Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:32.823731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.09132","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":"2026-05-17T23:49:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s10biY1OeuXMsWzuzmYSzzE/ntUapAioyQmifQUvs5IBcD5132zMxcuboi70teLk8qIKyNcoClHeOHb4K6CbAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:57:18.098795Z"},"content_sha256":"b18f2dfb3ebe8fc1c00279f01076b6de25bb7bf9de240f74e145d18c580749ce","schema_version":"1.0","event_id":"sha256:b18f2dfb3ebe8fc1c00279f01076b6de25bb7bf9de240f74e145d18c580749ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:3YP5D26NRGRK3I77DRS2KKEXEW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noncommutative spaces of worldlines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Angel Ballesteros, Francisco J. Herranz, Ivan Gutierrez-Sagredo","submitted_at":"2019-02-25T08:13:56Z","abstract_excerpt":"The space of time-like geodesics on Minkowski spacetime is constructed as a coset space of the Poincar\\'e group in (3+1) dimensions with respect to the stabilizer of a worldline. When this homogeneous space is endowed with a Poisson homogeneous structure compatible with a given Poisson-Lie Poincar\\'e group, the quantization of this Poisson bracket gives rise to a noncommutative space of worldlines with quantum group invariance. As an oustanding example, the Poisson homogeneous space of worldlines coming from the $\\kappa$-Poincar\\'e deformation is explicitly constructed, and shown to define a s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09132","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":"2026-05-17T23:49:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iRpl2A5cJ9iAdN443BpNV5eruGUI38LIjpgz0zOZj9Nsqy+UTJLfQQa4VvF7tBQysBf4Z/sRNwwukhuNuKKuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:57:18.099171Z"},"content_sha256":"ad1503ea6087351530f243ce602aad08b054ca14c773c8aea6d76cd378b45015","schema_version":"1.0","event_id":"sha256:ad1503ea6087351530f243ce602aad08b054ca14c773c8aea6d76cd378b45015"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YP5D26NRGRK3I77DRS2KKEXEW/bundle.json","state_url":"https://pith.science/pith/3YP5D26NRGRK3I77DRS2KKEXEW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YP5D26NRGRK3I77DRS2KKEXEW/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":"2026-06-06T18:57:18Z","links":{"resolver":"https://pith.science/pith/3YP5D26NRGRK3I77DRS2KKEXEW","bundle":"https://pith.science/pith/3YP5D26NRGRK3I77DRS2KKEXEW/bundle.json","state":"https://pith.science/pith/3YP5D26NRGRK3I77DRS2KKEXEW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YP5D26NRGRK3I77DRS2KKEXEW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3YP5D26NRGRK3I77DRS2KKEXEW","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":"5518aeb2411a36a9dc26eb58cb6f444a5a208ab4fcd8203ee814ab319fbdb9bc","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-25T08:13:56Z","title_canon_sha256":"2d215022585386a89b0f67960fa40ebbd16981cc3d891a04db11a58111cf03d9"},"schema_version":"1.0","source":{"id":"1902.09132","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09132","created_at":"2026-05-17T23:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09132v1","created_at":"2026-05-17T23:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09132","created_at":"2026-05-17T23:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"3YP5D26NRGRK","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"3YP5D26NRGRK3I77","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"3YP5D26N","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:ad1503ea6087351530f243ce602aad08b054ca14c773c8aea6d76cd378b45015","target":"graph","created_at":"2026-05-17T23:49:32Z","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":"The space of time-like geodesics on Minkowski spacetime is constructed as a coset space of the Poincar\\'e group in (3+1) dimensions with respect to the stabilizer of a worldline. When this homogeneous space is endowed with a Poisson homogeneous structure compatible with a given Poisson-Lie Poincar\\'e group, the quantization of this Poisson bracket gives rise to a noncommutative space of worldlines with quantum group invariance. As an oustanding example, the Poisson homogeneous space of worldlines coming from the $\\kappa$-Poincar\\'e deformation is explicitly constructed, and shown to define a s","authors_text":"Angel Ballesteros, Francisco J. Herranz, Ivan Gutierrez-Sagredo","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-25T08:13:56Z","title":"Noncommutative spaces of worldlines"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09132","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:b18f2dfb3ebe8fc1c00279f01076b6de25bb7bf9de240f74e145d18c580749ce","target":"record","created_at":"2026-05-17T23:49:32Z","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":"5518aeb2411a36a9dc26eb58cb6f444a5a208ab4fcd8203ee814ab319fbdb9bc","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-25T08:13:56Z","title_canon_sha256":"2d215022585386a89b0f67960fa40ebbd16981cc3d891a04db11a58111cf03d9"},"schema_version":"1.0","source":{"id":"1902.09132","kind":"arxiv","version":1}},"canonical_sha256":"de1fd1ebcd89a2ada3ff1c65a528972583d102a98d7fa935d4d7a74d0cd63501","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de1fd1ebcd89a2ada3ff1c65a528972583d102a98d7fa935d4d7a74d0cd63501","first_computed_at":"2026-05-17T23:49:32.823731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:32.823731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gEyUOmm9WVvupyPxgctIXOzCgCZO9RfpZrpMqMYLDtKJyehAggfNVdoozmMQAynATUJz7Gy2KlJ5m4KBdMaWCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:32.824408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.09132","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b18f2dfb3ebe8fc1c00279f01076b6de25bb7bf9de240f74e145d18c580749ce","sha256:ad1503ea6087351530f243ce602aad08b054ca14c773c8aea6d76cd378b45015"],"state_sha256":"b5be3e7fe6b8443877e143b17c55964729acfd4fbf070bec1b0fb40885f788fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d9ctmsmteVyOdQszxszqI0JRk15yvgmbcQtKbfF1ruei+/vUg5IsyLiXfGZB4W+eHK3Xd3fMAilK0tUxhIbvCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:57:18.101741Z","bundle_sha256":"7de282b8042c3258f482e1f66d42b0f3eca61338e7f40b96cd86fa813f9331ba"}}