{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:J7PLEIB62LDZGOYL4G4NRKAAIA","short_pith_number":"pith:J7PLEIB6","canonical_record":{"source":{"id":"1612.07646","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2016-12-21T07:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"967c8759bf8cca6cb6f194102250e17a15ccc8a12fc563d4eabcb0ecd6f58874","abstract_canon_sha256":"13e8e7b11d0812bb2c7529090b7abdd86a791a65ac47a5cea60810cc97b0cf28"},"schema_version":"1.0"},"canonical_sha256":"4fdeb2203ed2c7933b0be1b8d8a80040182f26dd14e71d03b8b5e4f80e1d5ba9","source":{"kind":"arxiv","id":"1612.07646","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07646","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07646v1","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07646","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"pith_short_12","alias_value":"J7PLEIB62LDZ","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J7PLEIB62LDZGOYL","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J7PLEIB6","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:J7PLEIB62LDZGOYL4G4NRKAAIA","target":"record","payload":{"canonical_record":{"source":{"id":"1612.07646","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2016-12-21T07:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"967c8759bf8cca6cb6f194102250e17a15ccc8a12fc563d4eabcb0ecd6f58874","abstract_canon_sha256":"13e8e7b11d0812bb2c7529090b7abdd86a791a65ac47a5cea60810cc97b0cf28"},"schema_version":"1.0"},"canonical_sha256":"4fdeb2203ed2c7933b0be1b8d8a80040182f26dd14e71d03b8b5e4f80e1d5ba9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:09.606370Z","signature_b64":"3z/H/7a4htKXQm4HtRGB79CpcuIumOqhdR3UjPSaqTxa4NdPWl/RaxXoK6tpDUL60ZfcZriIsS1Lwm5OcllGAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fdeb2203ed2c7933b0be1b8d8a80040182f26dd14e71d03b8b5e4f80e1d5ba9","last_reissued_at":"2026-05-18T00:54:09.605981Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:09.605981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.07646","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":"2026-05-18T00:54:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4jzsqImaBY2H3I3UwOiUiqGVrxIwV6aVDocdkTAz7te7oEkw3RaEieD3GC+3YM8Gs51c7jjJVUNTY8xdKlgnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T18:55:57.782071Z"},"content_sha256":"30aacda09ebba1188184b50c760719ec779c31562f0fdc76682b1372173eae4e","schema_version":"1.0","event_id":"sha256:30aacda09ebba1188184b50c760719ec779c31562f0fdc76682b1372173eae4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:J7PLEIB62LDZGOYL4G4NRKAAIA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum hashing based on symmetric groups","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Mansur Ziatdinov","submitted_at":"2016-12-21T07:10:03Z","abstract_excerpt":"The notion of quantum hashing formalized by F. Ablayev and A. Vasiliev in 2013. F. Ablayev and M. Ablayev in 2014 introduced the notion of quantum hash generator which is convenient technical tool for constructing quantum hash func- tions. M. Ziatdinov in 2014 presented group approach for constructing quantum hash functions. All these mentioned above results present constructions of quan- tum hash functions based on abelian groups. This paper continue the research on quantum hashing. Our approach allows us to construct quantum hash function working on any (finite) group. Also our approach allo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07646","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":"2026-05-18T00:54:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GrIA/6BCDloW5LX5RKTrVcmFmsuGWdqcfPLD9Asc4thzh8JHhgahZc9R1iD5C7/BWv59RbwZt4gjWLTY7l8PBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T18:55:57.782417Z"},"content_sha256":"66daad80e1b8d4c59321bf5fd2440eb332352f855052ce5a0d356968d0c00963","schema_version":"1.0","event_id":"sha256:66daad80e1b8d4c59321bf5fd2440eb332352f855052ce5a0d356968d0c00963"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J7PLEIB62LDZGOYL4G4NRKAAIA/bundle.json","state_url":"https://pith.science/pith/J7PLEIB62LDZGOYL4G4NRKAAIA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J7PLEIB62LDZGOYL4G4NRKAAIA/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":"2026-07-03T18:55:57Z","links":{"resolver":"https://pith.science/pith/J7PLEIB62LDZGOYL4G4NRKAAIA","bundle":"https://pith.science/pith/J7PLEIB62LDZGOYL4G4NRKAAIA/bundle.json","state":"https://pith.science/pith/J7PLEIB62LDZGOYL4G4NRKAAIA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J7PLEIB62LDZGOYL4G4NRKAAIA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J7PLEIB62LDZGOYL4G4NRKAAIA","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":"13e8e7b11d0812bb2c7529090b7abdd86a791a65ac47a5cea60810cc97b0cf28","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2016-12-21T07:10:03Z","title_canon_sha256":"967c8759bf8cca6cb6f194102250e17a15ccc8a12fc563d4eabcb0ecd6f58874"},"schema_version":"1.0","source":{"id":"1612.07646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07646","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07646v1","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07646","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"pith_short_12","alias_value":"J7PLEIB62LDZ","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J7PLEIB62LDZGOYL","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J7PLEIB6","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:66daad80e1b8d4c59321bf5fd2440eb332352f855052ce5a0d356968d0c00963","target":"graph","created_at":"2026-05-18T00:54:09Z","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 notion of quantum hashing formalized by F. Ablayev and A. Vasiliev in 2013. F. Ablayev and M. Ablayev in 2014 introduced the notion of quantum hash generator which is convenient technical tool for constructing quantum hash func- tions. M. Ziatdinov in 2014 presented group approach for constructing quantum hash functions. All these mentioned above results present constructions of quan- tum hash functions based on abelian groups. This paper continue the research on quantum hashing. Our approach allows us to construct quantum hash function working on any (finite) group. Also our approach allo","authors_text":"Mansur Ziatdinov","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2016-12-21T07:10:03Z","title":"Quantum hashing based on symmetric groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07646","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":"sha256:30aacda09ebba1188184b50c760719ec779c31562f0fdc76682b1372173eae4e","target":"record","created_at":"2026-05-18T00:54:09Z","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":"13e8e7b11d0812bb2c7529090b7abdd86a791a65ac47a5cea60810cc97b0cf28","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2016-12-21T07:10:03Z","title_canon_sha256":"967c8759bf8cca6cb6f194102250e17a15ccc8a12fc563d4eabcb0ecd6f58874"},"schema_version":"1.0","source":{"id":"1612.07646","kind":"arxiv","version":1}},"canonical_sha256":"4fdeb2203ed2c7933b0be1b8d8a80040182f26dd14e71d03b8b5e4f80e1d5ba9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fdeb2203ed2c7933b0be1b8d8a80040182f26dd14e71d03b8b5e4f80e1d5ba9","first_computed_at":"2026-05-18T00:54:09.605981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:09.605981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3z/H/7a4htKXQm4HtRGB79CpcuIumOqhdR3UjPSaqTxa4NdPWl/RaxXoK6tpDUL60ZfcZriIsS1Lwm5OcllGAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:09.606370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.07646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30aacda09ebba1188184b50c760719ec779c31562f0fdc76682b1372173eae4e","sha256:66daad80e1b8d4c59321bf5fd2440eb332352f855052ce5a0d356968d0c00963"],"state_sha256":"02e77f04add3e9f832cd36a266b1206bd44c8e519afede93688b7db909bfb727"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RVHjp4dgIwvfU1IWOghkdL+Qfl6KadIBopLcyQZPZExrwIXTHh3LWkSX0mA/gDcY7orG+SKZNm7ldVJdVl4qAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T18:55:57.784294Z","bundle_sha256":"1ccad45e25a70d2cf577e918d2b247d70593704fea7e93ac3d5b698ff713402b"}}