{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:AKNXY23HSNAFA6YZ57D53KZ73E","short_pith_number":"pith:AKNXY23H","canonical_record":{"source":{"id":"2601.10665","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-01-15T18:32:59Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"0167c451cc99e484c52b6e88fffc0a31de8d5908d8b7efb61bf323f575761390","abstract_canon_sha256":"f4fede400c2efe1f95ad38a5617dd2ad3c273a946b556ecdf521708ae0d09385"},"schema_version":"1.0"},"canonical_sha256":"029b7c6b679340507b19efc7ddab3fd901ef25672659adb5777babb6d80dfadb","source":{"kind":"arxiv","id":"2601.10665","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.10665","created_at":"2026-07-28T00:21:33Z"},{"alias_kind":"arxiv_version","alias_value":"2601.10665v1","created_at":"2026-07-28T00:21:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.10665","created_at":"2026-07-28T00:21:33Z"},{"alias_kind":"pith_short_12","alias_value":"AKNXY23HSNAF","created_at":"2026-07-28T00:21:33Z"},{"alias_kind":"pith_short_16","alias_value":"AKNXY23HSNAFA6YZ","created_at":"2026-07-28T00:21:33Z"},{"alias_kind":"pith_short_8","alias_value":"AKNXY23H","created_at":"2026-07-28T00:21:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:AKNXY23HSNAFA6YZ57D53KZ73E","target":"record","payload":{"canonical_record":{"source":{"id":"2601.10665","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-01-15T18:32:59Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"0167c451cc99e484c52b6e88fffc0a31de8d5908d8b7efb61bf323f575761390","abstract_canon_sha256":"f4fede400c2efe1f95ad38a5617dd2ad3c273a946b556ecdf521708ae0d09385"},"schema_version":"1.0"},"canonical_sha256":"029b7c6b679340507b19efc7ddab3fd901ef25672659adb5777babb6d80dfadb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T00:21:33.591209Z","signature_b64":"7GEY9vusOt75BiuLVOEDzxz2mqYImkBm2LwsLEa+HaxbRb5r92CY4l6JgLzPymW9fcySQN8PnnB7x5qWJZjsAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"029b7c6b679340507b19efc7ddab3fd901ef25672659adb5777babb6d80dfadb","last_reissued_at":"2026-07-28T00:21:33.590202Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T00:21:33.590202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.10665","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":"2026-07-28T00:21:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x4ZINm4mgPRiw6M38stEHTAp3vC5RVMkmnhI3sPvHxOKejt1E8JatnTZ+zIOHUB2cJWwy+DQG2kSWcqQqKm9Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T14:02:58.655394Z"},"content_sha256":"7611933489807a0b0097404fcff2527acdf1fcd01c1e384a73554927d1f989ac","schema_version":"1.0","event_id":"sha256:7611933489807a0b0097404fcff2527acdf1fcd01c1e384a73554927d1f989ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:AKNXY23HSNAFA6YZ57D53KZ73E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal universal bounds for waves with varied coherence based on supremum and infimum coherence spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"physics.optics","authors_text":"Cheng Guo, Shiyu Li","submitted_at":"2026-01-15T18:32:59Z","abstract_excerpt":"We establish a majorization-based theory for bounding observables of waves with varied coherence. For any measurement, exact bounds are attained by the maximal and minimal elements in the set of input coherence spectra. The set's supremum and infimum, which may lie outside the set, provide optimal universal bounds: any alternative spectrum yielding universal bounds produces weaker constraints. We present an algorithm to compute the supremum and infimum, and prove that they lie either at singular boundary points or strictly outside the set of coherence spectra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.10665","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.10665/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":"2026-07-28T00:21:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KW6RjsrVuI/fP7y39T74h4WtrqJTOsbZQuNTsb2Prbe4DufmQge6JyiIDtD2l1FqXv9gEW34PMEYX/6SFXYvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T14:02:58.655953Z"},"content_sha256":"65d0c13902288225e27db2f8b9fca46f0dfe17e477fe05403b1416ad8da326cf","schema_version":"1.0","event_id":"sha256:65d0c13902288225e27db2f8b9fca46f0dfe17e477fe05403b1416ad8da326cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKNXY23HSNAFA6YZ57D53KZ73E/bundle.json","state_url":"https://pith.science/pith/AKNXY23HSNAFA6YZ57D53KZ73E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKNXY23HSNAFA6YZ57D53KZ73E/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":"2026-08-17T14:02:58Z","links":{"resolver":"https://pith.science/pith/AKNXY23HSNAFA6YZ57D53KZ73E","bundle":"https://pith.science/pith/AKNXY23HSNAFA6YZ57D53KZ73E/bundle.json","state":"https://pith.science/pith/AKNXY23HSNAFA6YZ57D53KZ73E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKNXY23HSNAFA6YZ57D53KZ73E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AKNXY23HSNAFA6YZ57D53KZ73E","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":"f4fede400c2efe1f95ad38a5617dd2ad3c273a946b556ecdf521708ae0d09385","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-01-15T18:32:59Z","title_canon_sha256":"0167c451cc99e484c52b6e88fffc0a31de8d5908d8b7efb61bf323f575761390"},"schema_version":"1.0","source":{"id":"2601.10665","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.10665","created_at":"2026-07-28T00:21:33Z"},{"alias_kind":"arxiv_version","alias_value":"2601.10665v1","created_at":"2026-07-28T00:21:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.10665","created_at":"2026-07-28T00:21:33Z"},{"alias_kind":"pith_short_12","alias_value":"AKNXY23HSNAF","created_at":"2026-07-28T00:21:33Z"},{"alias_kind":"pith_short_16","alias_value":"AKNXY23HSNAFA6YZ","created_at":"2026-07-28T00:21:33Z"},{"alias_kind":"pith_short_8","alias_value":"AKNXY23H","created_at":"2026-07-28T00:21:33Z"}],"graph_snapshots":[{"event_id":"sha256:65d0c13902288225e27db2f8b9fca46f0dfe17e477fe05403b1416ad8da326cf","target":"graph","created_at":"2026-07-28T00:21:33Z","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/2601.10665/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish a majorization-based theory for bounding observables of waves with varied coherence. For any measurement, exact bounds are attained by the maximal and minimal elements in the set of input coherence spectra. The set's supremum and infimum, which may lie outside the set, provide optimal universal bounds: any alternative spectrum yielding universal bounds produces weaker constraints. We present an algorithm to compute the supremum and infimum, and prove that they lie either at singular boundary points or strictly outside the set of coherence spectra.","authors_text":"Cheng Guo, Shiyu Li","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-01-15T18:32:59Z","title":"Optimal universal bounds for waves with varied coherence based on supremum and infimum coherence spectra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.10665","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":"sha256:7611933489807a0b0097404fcff2527acdf1fcd01c1e384a73554927d1f989ac","target":"record","created_at":"2026-07-28T00:21:33Z","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":"f4fede400c2efe1f95ad38a5617dd2ad3c273a946b556ecdf521708ae0d09385","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-01-15T18:32:59Z","title_canon_sha256":"0167c451cc99e484c52b6e88fffc0a31de8d5908d8b7efb61bf323f575761390"},"schema_version":"1.0","source":{"id":"2601.10665","kind":"arxiv","version":1}},"canonical_sha256":"029b7c6b679340507b19efc7ddab3fd901ef25672659adb5777babb6d80dfadb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"029b7c6b679340507b19efc7ddab3fd901ef25672659adb5777babb6d80dfadb","first_computed_at":"2026-07-28T00:21:33.590202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T00:21:33.590202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7GEY9vusOt75BiuLVOEDzxz2mqYImkBm2LwsLEa+HaxbRb5r92CY4l6JgLzPymW9fcySQN8PnnB7x5qWJZjsAw==","signature_status":"signed_v1","signed_at":"2026-07-28T00:21:33.591209Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.10665","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7611933489807a0b0097404fcff2527acdf1fcd01c1e384a73554927d1f989ac","sha256:65d0c13902288225e27db2f8b9fca46f0dfe17e477fe05403b1416ad8da326cf"],"state_sha256":"ab1c02ce43daeb268e18a65c0b49e6d1313ab9950cd059a577bd956ff521239e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2bhX56F1BpejPrYrMEhl0UMJzGVQPD0Wwq5TpM/m2/FB2q1VI04Fm+vLRiihr4b7bDlR/LyqqMfsoXGA650bCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T14:02:58.660880Z","bundle_sha256":"e09a3d05c7a58addc4abcd8b5af6b72e6a27c482bd1e7de764f9e44879f8434d"}}