{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:SPKMRXCXIQ4NE3N7GHXEHT5RA4","short_pith_number":"pith:SPKMRXCX","canonical_record":{"source":{"id":"2112.01673","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-03T01:49:03Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9a6b7d2d077e84f23f1ec68b5b3d2bd670dbe3c064d4af0588e14d0a65b19779","abstract_canon_sha256":"dcf2858784dc4e1aa4e06b53eb49756617f8e104ce435afa8984434e9bc08b65"},"schema_version":"1.0"},"canonical_sha256":"93d4c8dc574438d26dbf31ee43cfb1071de9f6f7139e92f02e4710d4ffc97229","source":{"kind":"arxiv","id":"2112.01673","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.01673","created_at":"2026-07-05T03:37:30Z"},{"alias_kind":"arxiv_version","alias_value":"2112.01673v1","created_at":"2026-07-05T03:37:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.01673","created_at":"2026-07-05T03:37:30Z"},{"alias_kind":"pith_short_12","alias_value":"SPKMRXCXIQ4N","created_at":"2026-07-05T03:37:30Z"},{"alias_kind":"pith_short_16","alias_value":"SPKMRXCXIQ4NE3N7","created_at":"2026-07-05T03:37:30Z"},{"alias_kind":"pith_short_8","alias_value":"SPKMRXCX","created_at":"2026-07-05T03:37:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:SPKMRXCXIQ4NE3N7GHXEHT5RA4","target":"record","payload":{"canonical_record":{"source":{"id":"2112.01673","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-03T01:49:03Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9a6b7d2d077e84f23f1ec68b5b3d2bd670dbe3c064d4af0588e14d0a65b19779","abstract_canon_sha256":"dcf2858784dc4e1aa4e06b53eb49756617f8e104ce435afa8984434e9bc08b65"},"schema_version":"1.0"},"canonical_sha256":"93d4c8dc574438d26dbf31ee43cfb1071de9f6f7139e92f02e4710d4ffc97229","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:37:30.648134Z","signature_b64":"3zmLWz4mpuB/QZk6k5wp7XUC3HA5UjIV3q/PgHuPmcmUt92qllGdY2rqKOTDhaRnFsLyt3vzM/F0rEN80MhKBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93d4c8dc574438d26dbf31ee43cfb1071de9f6f7139e92f02e4710d4ffc97229","last_reissued_at":"2026-07-05T03:37:30.647747Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:37:30.647747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.01673","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":"2026-07-05T03:37:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OyhfdIyU50qfSsVaAkyl+hyi2i7+wCl1Ahfo3BV7Wb3O7TD/COG5WNrhK2syxF57YIZ8iqPiVHooaD7AdkLvBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:57:12.089253Z"},"content_sha256":"d3fb75426900d71f9c3558c4dd0cf9922d186da021389ee776c2319b25864a76","schema_version":"1.0","event_id":"sha256:d3fb75426900d71f9c3558c4dd0cf9922d186da021389ee776c2319b25864a76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:SPKMRXCXIQ4NE3N7GHXEHT5RA4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coherent states for equally spaced, homogeneous waveguide arrays","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"H\\'ector M. Moya-Cessa, Julio Guerrero","submitted_at":"2021-12-03T01:49:03Z","abstract_excerpt":"Coherent states for equally spaced, homogeneous waveguide arrays are defined, in the infinite, semiinfinite and finite cases, and resolutions of the identity are constructed, using different methods. In the infinite case, which corresponds to Euclidean coherent states, a resolution of the identity with coherent states on the circle and involving a nonlocal inner product is reviewed. In the semiinfinite case, which corresponds to London coherent states, various construction are given (restricting to the circle with a non-local scalar product, rescaling the coherent states, modifying them, or us"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.01673","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/2112.01673/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":"2026-07-05T03:37:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1l1cVB5IvzkxW1NFhAr8568U1ArdZc4w5TP81uvPAwk5IqPCgSY07wVahIrC0MwCJyBoAbvoUAB+FTIfyHFNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:57:12.090172Z"},"content_sha256":"0bd71d9b636cd64788e45c682ea2c5ebace2514d2aed7d167aaff4af12c3f1f1","schema_version":"1.0","event_id":"sha256:0bd71d9b636cd64788e45c682ea2c5ebace2514d2aed7d167aaff4af12c3f1f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SPKMRXCXIQ4NE3N7GHXEHT5RA4/bundle.json","state_url":"https://pith.science/pith/SPKMRXCXIQ4NE3N7GHXEHT5RA4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SPKMRXCXIQ4NE3N7GHXEHT5RA4/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":"2026-08-08T09:57:12Z","links":{"resolver":"https://pith.science/pith/SPKMRXCXIQ4NE3N7GHXEHT5RA4","bundle":"https://pith.science/pith/SPKMRXCXIQ4NE3N7GHXEHT5RA4/bundle.json","state":"https://pith.science/pith/SPKMRXCXIQ4NE3N7GHXEHT5RA4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SPKMRXCXIQ4NE3N7GHXEHT5RA4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:SPKMRXCXIQ4NE3N7GHXEHT5RA4","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":"dcf2858784dc4e1aa4e06b53eb49756617f8e104ce435afa8984434e9bc08b65","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-03T01:49:03Z","title_canon_sha256":"9a6b7d2d077e84f23f1ec68b5b3d2bd670dbe3c064d4af0588e14d0a65b19779"},"schema_version":"1.0","source":{"id":"2112.01673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.01673","created_at":"2026-07-05T03:37:30Z"},{"alias_kind":"arxiv_version","alias_value":"2112.01673v1","created_at":"2026-07-05T03:37:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.01673","created_at":"2026-07-05T03:37:30Z"},{"alias_kind":"pith_short_12","alias_value":"SPKMRXCXIQ4N","created_at":"2026-07-05T03:37:30Z"},{"alias_kind":"pith_short_16","alias_value":"SPKMRXCXIQ4NE3N7","created_at":"2026-07-05T03:37:30Z"},{"alias_kind":"pith_short_8","alias_value":"SPKMRXCX","created_at":"2026-07-05T03:37:30Z"}],"graph_snapshots":[{"event_id":"sha256:0bd71d9b636cd64788e45c682ea2c5ebace2514d2aed7d167aaff4af12c3f1f1","target":"graph","created_at":"2026-07-05T03:37:30Z","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/2112.01673/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Coherent states for equally spaced, homogeneous waveguide arrays are defined, in the infinite, semiinfinite and finite cases, and resolutions of the identity are constructed, using different methods. In the infinite case, which corresponds to Euclidean coherent states, a resolution of the identity with coherent states on the circle and involving a nonlocal inner product is reviewed. In the semiinfinite case, which corresponds to London coherent states, various construction are given (restricting to the circle with a non-local scalar product, rescaling the coherent states, modifying them, or us","authors_text":"H\\'ector M. Moya-Cessa, Julio Guerrero","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-03T01:49:03Z","title":"Coherent states for equally spaced, homogeneous waveguide arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.01673","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:d3fb75426900d71f9c3558c4dd0cf9922d186da021389ee776c2319b25864a76","target":"record","created_at":"2026-07-05T03:37:30Z","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":"dcf2858784dc4e1aa4e06b53eb49756617f8e104ce435afa8984434e9bc08b65","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-03T01:49:03Z","title_canon_sha256":"9a6b7d2d077e84f23f1ec68b5b3d2bd670dbe3c064d4af0588e14d0a65b19779"},"schema_version":"1.0","source":{"id":"2112.01673","kind":"arxiv","version":1}},"canonical_sha256":"93d4c8dc574438d26dbf31ee43cfb1071de9f6f7139e92f02e4710d4ffc97229","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93d4c8dc574438d26dbf31ee43cfb1071de9f6f7139e92f02e4710d4ffc97229","first_computed_at":"2026-07-05T03:37:30.647747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:37:30.647747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3zmLWz4mpuB/QZk6k5wp7XUC3HA5UjIV3q/PgHuPmcmUt92qllGdY2rqKOTDhaRnFsLyt3vzM/F0rEN80MhKBA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:37:30.648134Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.01673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3fb75426900d71f9c3558c4dd0cf9922d186da021389ee776c2319b25864a76","sha256:0bd71d9b636cd64788e45c682ea2c5ebace2514d2aed7d167aaff4af12c3f1f1"],"state_sha256":"2e60fe33392d807a708bb6c5f8aff19bad532a44b672ee2bfa8ce9df64bb2011"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X1Gt7nN4r3I6hzqVwUwyOBfMLY7QqJR8OlpKsHva+p273LOhpXn+WDgWv0v0++7HFlY+OU/43jJTTakTQQkYCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:57:12.096531Z","bundle_sha256":"9e572ad33dd8eb7a8bf5ca23e93741b3d6e414c20713d35dabf9bfe93f64e767"}}