{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:FAPKANPY5LWFFJQAQOB25MYAYY","short_pith_number":"pith:FAPKANPY","canonical_record":{"source":{"id":"hep-th/0305121","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-05-14T15:23:22Z","cross_cats_sorted":[],"title_canon_sha256":"4c46a82c046ba19d89397c4f002def4a57f5a6db9eec20209862bb0440702565","abstract_canon_sha256":"d63b342152ce2d829bf7257d89d7084aa1ae8cb650c952a1bc2ca97e071c344f"},"schema_version":"1.0"},"canonical_sha256":"281ea035f8eaec52a6008383aeb300c61b2923a9bf81cdfd12064758c05eee24","source":{"kind":"arxiv","id":"hep-th/0305121","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0305121","created_at":"2026-07-04T15:29:39Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0305121v2","created_at":"2026-07-04T15:29:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0305121","created_at":"2026-07-04T15:29:39Z"},{"alias_kind":"pith_short_12","alias_value":"FAPKANPY5LWF","created_at":"2026-07-04T15:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"FAPKANPY5LWFFJQA","created_at":"2026-07-04T15:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"FAPKANPY","created_at":"2026-07-04T15:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:FAPKANPY5LWFFJQAQOB25MYAYY","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0305121","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-05-14T15:23:22Z","cross_cats_sorted":[],"title_canon_sha256":"4c46a82c046ba19d89397c4f002def4a57f5a6db9eec20209862bb0440702565","abstract_canon_sha256":"d63b342152ce2d829bf7257d89d7084aa1ae8cb650c952a1bc2ca97e071c344f"},"schema_version":"1.0"},"canonical_sha256":"281ea035f8eaec52a6008383aeb300c61b2923a9bf81cdfd12064758c05eee24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:29:39.120632Z","signature_b64":"2As5t3+YlCYDPfaZ/4JwBDUkdvTv/NuuxZZI4xzwHbylHXrQdCShX6XWjhl2q9XtqdZ6sZlTGJ5khHnBwYDfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"281ea035f8eaec52a6008383aeb300c61b2923a9bf81cdfd12064758c05eee24","last_reissued_at":"2026-07-04T15:29:39.120222Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:29:39.120222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0305121","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":"2026-07-04T15:29:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"84rV1rp4L3o6Rg0SuVhBqyRIy+se8qYm0kN2zzpnfCP6vb0QYjk+ia6diAMD+S2ERuWqnYWBwMkPS+krnIqVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:20:09.158936Z"},"content_sha256":"9d0ec562ea4ecbba5cd0261a57f9e39d13205220a0dbbe3e7551463510b972c2","schema_version":"1.0","event_id":"sha256:9d0ec562ea4ecbba5cd0261a57f9e39d13205220a0dbbe3e7551463510b972c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:FAPKANPY5LWFFJQAQOB25MYAYY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Events in a Non-Commutative Space-Time","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. Toller","submitted_at":"2003-05-14T15:23:22Z","abstract_excerpt":"We treat the events determined by a quantum physical state in a noncommutative space-time, generalizing the analogous treatment in the usual Minkowski space-time based on positive-operator-valued measures (POVMs). We consider in detail the model proposed by Snyder in 1947 and calculate the POVMs defined on the real line that describe the measurement of a single coordinate. The approximate joint measurement of all the four space-time coordinates is described in terms of a generalized Wigner function (GWF). We derive lower bounds for the dispersion of the coordinate observables and discuss the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0305121","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0305121/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":"2026-07-04T15:29:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nyfqda2ZGRNZA2JCnr+bXeZ7+buy414+EMM6amSm6rMkmdydcdmhPpth0D0xUUyzWvHkcGnQfTdLSP9mh7BRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:20:09.159823Z"},"content_sha256":"ddd454f490a7cdf853a6aada54877052134ce09f75c9852dc1ce184bf524e817","schema_version":"1.0","event_id":"sha256:ddd454f490a7cdf853a6aada54877052134ce09f75c9852dc1ce184bf524e817"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY/bundle.json","state_url":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FAPKANPY5LWFFJQAQOB25MYAYY/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":"2026-08-07T12:20:09Z","links":{"resolver":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY","bundle":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY/bundle.json","state":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FAPKANPY5LWFFJQAQOB25MYAYY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:FAPKANPY5LWFFJQAQOB25MYAYY","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":"d63b342152ce2d829bf7257d89d7084aa1ae8cb650c952a1bc2ca97e071c344f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-05-14T15:23:22Z","title_canon_sha256":"4c46a82c046ba19d89397c4f002def4a57f5a6db9eec20209862bb0440702565"},"schema_version":"1.0","source":{"id":"hep-th/0305121","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0305121","created_at":"2026-07-04T15:29:39Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0305121v2","created_at":"2026-07-04T15:29:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0305121","created_at":"2026-07-04T15:29:39Z"},{"alias_kind":"pith_short_12","alias_value":"FAPKANPY5LWF","created_at":"2026-07-04T15:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"FAPKANPY5LWFFJQA","created_at":"2026-07-04T15:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"FAPKANPY","created_at":"2026-07-04T15:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:ddd454f490a7cdf853a6aada54877052134ce09f75c9852dc1ce184bf524e817","target":"graph","created_at":"2026-07-04T15:29:39Z","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/hep-th/0305121/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We treat the events determined by a quantum physical state in a noncommutative space-time, generalizing the analogous treatment in the usual Minkowski space-time based on positive-operator-valued measures (POVMs). We consider in detail the model proposed by Snyder in 1947 and calculate the POVMs defined on the real line that describe the measurement of a single coordinate. The approximate joint measurement of all the four space-time coordinates is described in terms of a generalized Wigner function (GWF). We derive lower bounds for the dispersion of the coordinate observables and discuss the c","authors_text":"M. Toller","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-05-14T15:23:22Z","title":"Events in a Non-Commutative Space-Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0305121","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":"sha256:9d0ec562ea4ecbba5cd0261a57f9e39d13205220a0dbbe3e7551463510b972c2","target":"record","created_at":"2026-07-04T15:29:39Z","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":"d63b342152ce2d829bf7257d89d7084aa1ae8cb650c952a1bc2ca97e071c344f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-05-14T15:23:22Z","title_canon_sha256":"4c46a82c046ba19d89397c4f002def4a57f5a6db9eec20209862bb0440702565"},"schema_version":"1.0","source":{"id":"hep-th/0305121","kind":"arxiv","version":2}},"canonical_sha256":"281ea035f8eaec52a6008383aeb300c61b2923a9bf81cdfd12064758c05eee24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"281ea035f8eaec52a6008383aeb300c61b2923a9bf81cdfd12064758c05eee24","first_computed_at":"2026-07-04T15:29:39.120222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:29:39.120222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2As5t3+YlCYDPfaZ/4JwBDUkdvTv/NuuxZZI4xzwHbylHXrQdCShX6XWjhl2q9XtqdZ6sZlTGJ5khHnBwYDfCg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:29:39.120632Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0305121","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d0ec562ea4ecbba5cd0261a57f9e39d13205220a0dbbe3e7551463510b972c2","sha256:ddd454f490a7cdf853a6aada54877052134ce09f75c9852dc1ce184bf524e817"],"state_sha256":"84ce6bec188a4436e0fc9a8394f068aa47ee2bb1cbf6ab3f685510ee934c4253"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7MC2bTP5z/kK1+bxsOawuIXKXH5Um8vEypI51QUzgVAym+xV358X4Ff3Zy7dR+rO3hT00o+iZM2EZoHRPmpiBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T12:20:09.165960Z","bundle_sha256":"6b67251c20f000f4f179b91aadab118a383a97fe0b1fc2cbb2d4de72caa139a2"}}