{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:I2I5HVWF5RTUOYLDBTDXFHHRP3","short_pith_number":"pith:I2I5HVWF","canonical_record":{"source":{"id":"1101.2495","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-01-13T06:49:13Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9275b24ad53cfca537b1dfe5c00c3bc8c22995cb081581197dce9b7a4d688bbf","abstract_canon_sha256":"4f95f7311b7be2fbdb9ccb5b20295578df31831fd269ac8f12dbe2e6255b5fe4"},"schema_version":"1.0"},"canonical_sha256":"4691d3d6c5ec674761630cc7729cf17ef967257b596926eee0b9bf0f84681bfa","source":{"kind":"arxiv","id":"1101.2495","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2495","created_at":"2026-05-18T04:20:03Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2495v1","created_at":"2026-05-18T04:20:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2495","created_at":"2026-05-18T04:20:03Z"},{"alias_kind":"pith_short_12","alias_value":"I2I5HVWF5RTU","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"I2I5HVWF5RTUOYLD","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"I2I5HVWF","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:I2I5HVWF5RTUOYLDBTDXFHHRP3","target":"record","payload":{"canonical_record":{"source":{"id":"1101.2495","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-01-13T06:49:13Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9275b24ad53cfca537b1dfe5c00c3bc8c22995cb081581197dce9b7a4d688bbf","abstract_canon_sha256":"4f95f7311b7be2fbdb9ccb5b20295578df31831fd269ac8f12dbe2e6255b5fe4"},"schema_version":"1.0"},"canonical_sha256":"4691d3d6c5ec674761630cc7729cf17ef967257b596926eee0b9bf0f84681bfa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:03.709862Z","signature_b64":"FgZUyG3n+//jdkheeJkb2qPhxpNP7spPF/5bwDIO9QgNaVBjpFOmkX5LuuC9Y+Z1dfzdESqs4ouhDP+w/4tUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4691d3d6c5ec674761630cc7729cf17ef967257b596926eee0b9bf0f84681bfa","last_reissued_at":"2026-05-18T04:20:03.709378Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:03.709378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.2495","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":"2026-05-18T04:20:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vz/gPw1S4EtfTY9Lw4/xJXSyh42548bidsg7193/QnPfyOINJdD0lN+6aAEkxf8QgvSZTW8WD/furNzm6+AuDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:49:41.956529Z"},"content_sha256":"428cc65355244594d2ef62874365b456cf1ffaf7faa4b3fa510e17fc2f607592","schema_version":"1.0","event_id":"sha256:428cc65355244594d2ef62874365b456cf1ffaf7faa4b3fa510e17fc2f607592"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:I2I5HVWF5RTUOYLDBTDXFHHRP3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A unifying perspective on the Moyal and Voros products and their physical meanings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Biswajit Chakraborty, Frederik G Scholtz, Prasad Basu","submitted_at":"2011-01-13T06:49:13Z","abstract_excerpt":"The Moyal and Voros formulations of non-commutative quantum field theory has been a point of controversy in the recent past. Here we address this issue in the context of non-commutative non-relativistic quantum mechanics. In particular we show that the two formulations simply correspond to two different representations associated with two different choices of basis on the quantum Hilbert space. From a mathematical perspective the two formulations are therefore completely equivalent, but we also argue that only the Voros formulaton admits a consistent physical interpretation. These consideratio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2495","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":"2026-05-18T04:20:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+U5gkdN0aBnXgXyKdPZi8XZFWiOqy5EgOqh/V3nrVXLsgZx3PxwX7rppIDfFTz6Y0zya+ouHsknMgJLiOPvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:49:41.956891Z"},"content_sha256":"90adafc674797dd637d758a53598379c43b6888ecfc7fac03dbbf1390825c200","schema_version":"1.0","event_id":"sha256:90adafc674797dd637d758a53598379c43b6888ecfc7fac03dbbf1390825c200"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I2I5HVWF5RTUOYLDBTDXFHHRP3/bundle.json","state_url":"https://pith.science/pith/I2I5HVWF5RTUOYLDBTDXFHHRP3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I2I5HVWF5RTUOYLDBTDXFHHRP3/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":"2026-05-27T02:49:41Z","links":{"resolver":"https://pith.science/pith/I2I5HVWF5RTUOYLDBTDXFHHRP3","bundle":"https://pith.science/pith/I2I5HVWF5RTUOYLDBTDXFHHRP3/bundle.json","state":"https://pith.science/pith/I2I5HVWF5RTUOYLDBTDXFHHRP3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I2I5HVWF5RTUOYLDBTDXFHHRP3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:I2I5HVWF5RTUOYLDBTDXFHHRP3","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":"4f95f7311b7be2fbdb9ccb5b20295578df31831fd269ac8f12dbe2e6255b5fe4","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-01-13T06:49:13Z","title_canon_sha256":"9275b24ad53cfca537b1dfe5c00c3bc8c22995cb081581197dce9b7a4d688bbf"},"schema_version":"1.0","source":{"id":"1101.2495","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2495","created_at":"2026-05-18T04:20:03Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2495v1","created_at":"2026-05-18T04:20:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2495","created_at":"2026-05-18T04:20:03Z"},{"alias_kind":"pith_short_12","alias_value":"I2I5HVWF5RTU","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"I2I5HVWF5RTUOYLD","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"I2I5HVWF","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:90adafc674797dd637d758a53598379c43b6888ecfc7fac03dbbf1390825c200","target":"graph","created_at":"2026-05-18T04:20:03Z","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 Moyal and Voros formulations of non-commutative quantum field theory has been a point of controversy in the recent past. Here we address this issue in the context of non-commutative non-relativistic quantum mechanics. In particular we show that the two formulations simply correspond to two different representations associated with two different choices of basis on the quantum Hilbert space. From a mathematical perspective the two formulations are therefore completely equivalent, but we also argue that only the Voros formulaton admits a consistent physical interpretation. These consideratio","authors_text":"Biswajit Chakraborty, Frederik G Scholtz, Prasad Basu","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-01-13T06:49:13Z","title":"A unifying perspective on the Moyal and Voros products and their physical meanings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2495","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":"sha256:428cc65355244594d2ef62874365b456cf1ffaf7faa4b3fa510e17fc2f607592","target":"record","created_at":"2026-05-18T04:20:03Z","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":"4f95f7311b7be2fbdb9ccb5b20295578df31831fd269ac8f12dbe2e6255b5fe4","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-01-13T06:49:13Z","title_canon_sha256":"9275b24ad53cfca537b1dfe5c00c3bc8c22995cb081581197dce9b7a4d688bbf"},"schema_version":"1.0","source":{"id":"1101.2495","kind":"arxiv","version":1}},"canonical_sha256":"4691d3d6c5ec674761630cc7729cf17ef967257b596926eee0b9bf0f84681bfa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4691d3d6c5ec674761630cc7729cf17ef967257b596926eee0b9bf0f84681bfa","first_computed_at":"2026-05-18T04:20:03.709378Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:03.709378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FgZUyG3n+//jdkheeJkb2qPhxpNP7spPF/5bwDIO9QgNaVBjpFOmkX5LuuC9Y+Z1dfzdESqs4ouhDP+w/4tUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:03.709862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2495","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:428cc65355244594d2ef62874365b456cf1ffaf7faa4b3fa510e17fc2f607592","sha256:90adafc674797dd637d758a53598379c43b6888ecfc7fac03dbbf1390825c200"],"state_sha256":"453eaf2794696eb983a1fbdfaae9295a6ab8bd693cc3a834ee6a340b42fe1b92"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JAlVn74tpsprWjRqUpFEkj9dpW0wVLVxmTIKqJIrgcBIyIRqL7vtX/yRR4YIXdZWzHQwfB9K3xGVPi1uipJkDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T02:49:41.959251Z","bundle_sha256":"cebb25f16a3cbadc6ecb0fb6daf94fd13b020f5a12d96f127834c7715e985452"}}