{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:SMQIILASY56X2TIIC76ROTDJFM","short_pith_number":"pith:SMQIILAS","canonical_record":{"source":{"id":"2111.09462","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2021-11-18T00:46:07Z","cross_cats_sorted":["cs.ET","quant-ph"],"title_canon_sha256":"0692d86b061944438ffc64d7a3518fc8cc0099cf5e577994d2d530c4737dff7c","abstract_canon_sha256":"58ff8490d1977f70dd94217305f8b58c623aa3328e652f8b0c62ba783f7ee9c7"},"schema_version":"1.0"},"canonical_sha256":"9320842c12c77d7d4d0817fd174c692b2e47f86a24b74978a86a18c7dfa2c87e","source":{"kind":"arxiv","id":"2111.09462","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.09462","created_at":"2026-07-05T03:33:11Z"},{"alias_kind":"arxiv_version","alias_value":"2111.09462v1","created_at":"2026-07-05T03:33:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.09462","created_at":"2026-07-05T03:33:11Z"},{"alias_kind":"pith_short_12","alias_value":"SMQIILASY56X","created_at":"2026-07-05T03:33:11Z"},{"alias_kind":"pith_short_16","alias_value":"SMQIILASY56X2TII","created_at":"2026-07-05T03:33:11Z"},{"alias_kind":"pith_short_8","alias_value":"SMQIILAS","created_at":"2026-07-05T03:33:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:SMQIILASY56X2TIIC76ROTDJFM","target":"record","payload":{"canonical_record":{"source":{"id":"2111.09462","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2021-11-18T00:46:07Z","cross_cats_sorted":["cs.ET","quant-ph"],"title_canon_sha256":"0692d86b061944438ffc64d7a3518fc8cc0099cf5e577994d2d530c4737dff7c","abstract_canon_sha256":"58ff8490d1977f70dd94217305f8b58c623aa3328e652f8b0c62ba783f7ee9c7"},"schema_version":"1.0"},"canonical_sha256":"9320842c12c77d7d4d0817fd174c692b2e47f86a24b74978a86a18c7dfa2c87e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:33:11.913061Z","signature_b64":"PDSIHfHq3E4WKOLWLqK11Q00mP97xrA0ckuVtp51M9ZBK30FXB0A221qX03yYwevZUDctSBZbR/Y/SCucDrGCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9320842c12c77d7d4d0817fd174c692b2e47f86a24b74978a86a18c7dfa2c87e","last_reissued_at":"2026-07-05T03:33:11.912588Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:33:11.912588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.09462","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":"2026-07-05T03:33:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cPTC+H7KUaFPT35PzZnJeSzfBvTPYDhm4hMzn/JnLEEmtLhGBhkDdx7xJrfZaGfjqDGHOV68iu88ffHlzybrBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:31:46.106121Z"},"content_sha256":"d95d3ebd0e32893ecef2afff0da1b93f2fd0f4d38cb6271993bd6835b88e7713","schema_version":"1.0","event_id":"sha256:d95d3ebd0e32893ecef2afff0da1b93f2fd0f4d38cb6271993bd6835b88e7713"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:SMQIILASY56X2TIIC76ROTDJFM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Order recognition by Schubert polynomials generated by optical near-field statistics via nanometre-scale photochromism","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.ET","quant-ph"],"primary_cat":"physics.optics","authors_text":"Hayato Saigo, Hirokazu Hori, Hirotsugu Suzui, Kazuharu Uchiyama, Kingo Uchida, Makoto Naruse, Nicolas Chauvet, Ryoichi Horisaki, Sota Nakajima","submitted_at":"2021-11-18T00:46:07Z","abstract_excerpt":"We have previously observed an irregular spatial distribution of photon transmission through a photochromic crystal photoisomerized by a local optical near-field excitation, manifesting complex branching processes via the interplay of deformation of the material and near-field photon transfer therein. Furthermore, by combining such naturally constructed complex photon transmission with a simple photon detection protocol, Schubert polynomials, the foundation of versatile permutation operations in mathematics, have been generated. In this study, we demonstrate an order recognition algorithm insp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.09462","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/2111.09462/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":"2026-07-05T03:33:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sACAOynVnhrVohcvi72TiOEInotVd/E+BUKrtb8XDJY74zmNA2Ex3kXvL3STe73CW48s8Ffv8iilW2RFMyJ/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:31:46.106531Z"},"content_sha256":"cfd930932569d9e9d4d79adcd237160697aaf002c2ffdc199528ea713f9c45bf","schema_version":"1.0","event_id":"sha256:cfd930932569d9e9d4d79adcd237160697aaf002c2ffdc199528ea713f9c45bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SMQIILASY56X2TIIC76ROTDJFM/bundle.json","state_url":"https://pith.science/pith/SMQIILASY56X2TIIC76ROTDJFM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SMQIILASY56X2TIIC76ROTDJFM/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":"2026-07-07T10:31:46Z","links":{"resolver":"https://pith.science/pith/SMQIILASY56X2TIIC76ROTDJFM","bundle":"https://pith.science/pith/SMQIILASY56X2TIIC76ROTDJFM/bundle.json","state":"https://pith.science/pith/SMQIILASY56X2TIIC76ROTDJFM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SMQIILASY56X2TIIC76ROTDJFM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:SMQIILASY56X2TIIC76ROTDJFM","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":"58ff8490d1977f70dd94217305f8b58c623aa3328e652f8b0c62ba783f7ee9c7","cross_cats_sorted":["cs.ET","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2021-11-18T00:46:07Z","title_canon_sha256":"0692d86b061944438ffc64d7a3518fc8cc0099cf5e577994d2d530c4737dff7c"},"schema_version":"1.0","source":{"id":"2111.09462","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.09462","created_at":"2026-07-05T03:33:11Z"},{"alias_kind":"arxiv_version","alias_value":"2111.09462v1","created_at":"2026-07-05T03:33:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.09462","created_at":"2026-07-05T03:33:11Z"},{"alias_kind":"pith_short_12","alias_value":"SMQIILASY56X","created_at":"2026-07-05T03:33:11Z"},{"alias_kind":"pith_short_16","alias_value":"SMQIILASY56X2TII","created_at":"2026-07-05T03:33:11Z"},{"alias_kind":"pith_short_8","alias_value":"SMQIILAS","created_at":"2026-07-05T03:33:11Z"}],"graph_snapshots":[{"event_id":"sha256:cfd930932569d9e9d4d79adcd237160697aaf002c2ffdc199528ea713f9c45bf","target":"graph","created_at":"2026-07-05T03:33:11Z","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/2111.09462/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We have previously observed an irregular spatial distribution of photon transmission through a photochromic crystal photoisomerized by a local optical near-field excitation, manifesting complex branching processes via the interplay of deformation of the material and near-field photon transfer therein. Furthermore, by combining such naturally constructed complex photon transmission with a simple photon detection protocol, Schubert polynomials, the foundation of versatile permutation operations in mathematics, have been generated. In this study, we demonstrate an order recognition algorithm insp","authors_text":"Hayato Saigo, Hirokazu Hori, Hirotsugu Suzui, Kazuharu Uchiyama, Kingo Uchida, Makoto Naruse, Nicolas Chauvet, Ryoichi Horisaki, Sota Nakajima","cross_cats":["cs.ET","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2021-11-18T00:46:07Z","title":"Order recognition by Schubert polynomials generated by optical near-field statistics via nanometre-scale photochromism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.09462","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:d95d3ebd0e32893ecef2afff0da1b93f2fd0f4d38cb6271993bd6835b88e7713","target":"record","created_at":"2026-07-05T03:33:11Z","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":"58ff8490d1977f70dd94217305f8b58c623aa3328e652f8b0c62ba783f7ee9c7","cross_cats_sorted":["cs.ET","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2021-11-18T00:46:07Z","title_canon_sha256":"0692d86b061944438ffc64d7a3518fc8cc0099cf5e577994d2d530c4737dff7c"},"schema_version":"1.0","source":{"id":"2111.09462","kind":"arxiv","version":1}},"canonical_sha256":"9320842c12c77d7d4d0817fd174c692b2e47f86a24b74978a86a18c7dfa2c87e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9320842c12c77d7d4d0817fd174c692b2e47f86a24b74978a86a18c7dfa2c87e","first_computed_at":"2026-07-05T03:33:11.912588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:33:11.912588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PDSIHfHq3E4WKOLWLqK11Q00mP97xrA0ckuVtp51M9ZBK30FXB0A221qX03yYwevZUDctSBZbR/Y/SCucDrGCA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:33:11.913061Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.09462","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d95d3ebd0e32893ecef2afff0da1b93f2fd0f4d38cb6271993bd6835b88e7713","sha256:cfd930932569d9e9d4d79adcd237160697aaf002c2ffdc199528ea713f9c45bf"],"state_sha256":"f525aef0cbaedcd2385b921e7dcf44f1a04a5bdcd21df17f74ae3b2c21733ad9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4944BI1USoE6Z1U1qpUF6cQl9Ean6YHrrphG6HzeLHldVBZSMMw1Y+53cA2dk1gkaAwFgDcda3MaQRmY7TyXDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T10:31:46.108549Z","bundle_sha256":"e2c437e8ea01a335da9aaf7bdb68a9a8a4a3eb75f15605d81aaa583714182bf1"}}