{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LPQEWKIZZKO3SVDT33BQWU3GTV","short_pith_number":"pith:LPQEWKIZ","canonical_record":{"source":{"id":"1803.10736","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T17:22:41Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"7cdcf27490a62375e03e92d2ef9f45f163ff7e42e63c2497eff935bda0fabdf9","abstract_canon_sha256":"a0ba5d44d45640997b725fb8ffc4d579970fcb42691a400e6bea8f9932448eaf"},"schema_version":"1.0"},"canonical_sha256":"5be04b2919ca9db95473dec30b53669d4be14e999fc39f91012d5cebc98565f5","source":{"kind":"arxiv","id":"1803.10736","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.10736","created_at":"2026-05-17T23:51:54Z"},{"alias_kind":"arxiv_version","alias_value":"1803.10736v4","created_at":"2026-05-17T23:51:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10736","created_at":"2026-05-17T23:51:54Z"},{"alias_kind":"pith_short_12","alias_value":"LPQEWKIZZKO3","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LPQEWKIZZKO3SVDT","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LPQEWKIZ","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LPQEWKIZZKO3SVDT33BQWU3GTV","target":"record","payload":{"canonical_record":{"source":{"id":"1803.10736","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T17:22:41Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"7cdcf27490a62375e03e92d2ef9f45f163ff7e42e63c2497eff935bda0fabdf9","abstract_canon_sha256":"a0ba5d44d45640997b725fb8ffc4d579970fcb42691a400e6bea8f9932448eaf"},"schema_version":"1.0"},"canonical_sha256":"5be04b2919ca9db95473dec30b53669d4be14e999fc39f91012d5cebc98565f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:54.649123Z","signature_b64":"l9wwyQz+Mk5ZpOU1vmo6NBq9ufkJu8LArrx2nN8ADRHHWu4Iw6Ipj/BCEbqJbBTY8+JoKEi45jKX9NtLzPf9Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5be04b2919ca9db95473dec30b53669d4be14e999fc39f91012d5cebc98565f5","last_reissued_at":"2026-05-17T23:51:54.648605Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:54.648605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.10736","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VA+5L4E288pqRdl3yFfNwYKarHRmRyV4AO3wcTYUJpCbXK96GHtipb/qENkoX8FsztcZi8Pc2IeQeCFPusosCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:08:08.103782Z"},"content_sha256":"7efc0ab5d75e0cf58de86b37e913b4f5bc5ac23c069c92b0b490d997b5d0b7c3","schema_version":"1.0","event_id":"sha256:7efc0ab5d75e0cf58de86b37e913b4f5bc5ac23c069c92b0b490d997b5d0b7c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LPQEWKIZZKO3SVDT33BQWU3GTV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Experiments and Graphs II: Quantum Interference, Computation and State Generation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"quant-ph","authors_text":"Anton Zeilinger, Manuel Erhard, Mario Krenn, Xuemei Gu","submitted_at":"2018-03-28T17:22:41Z","abstract_excerpt":"We present a conceptually new approach to describe state-of-the-art photonic quantum experiments using Graph Theory. There, the quantum states are given by the coherent superpositions of perfect matchings. The crucial observation is that introducing complex weights in graphs naturally leads to quantum interference. The new viewpoint immediately leads to many interesting results, some of which we present here. Firstly, we identify a new and experimentally completely unexplored multiphoton interference phenomenon. Secondly, we find that computing the results of such experiments is #P-hard, which"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10736","kind":"arxiv","version":4},"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":"2026-05-17T23:51:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rdu02iEZwfCWFE3Wmq89TBftpjyf95UjhWzLiTK3MCV8beqlrXWXT5S1w3N0DUmrhPQdPSofIHWIb0EzthkDAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:08:08.104433Z"},"content_sha256":"e94f20668a17947a8498553194c2abeb116debcbbd8e16fc2863361dc2582f3d","schema_version":"1.0","event_id":"sha256:e94f20668a17947a8498553194c2abeb116debcbbd8e16fc2863361dc2582f3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LPQEWKIZZKO3SVDT33BQWU3GTV/bundle.json","state_url":"https://pith.science/pith/LPQEWKIZZKO3SVDT33BQWU3GTV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LPQEWKIZZKO3SVDT33BQWU3GTV/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":"2026-06-07T23:08:08Z","links":{"resolver":"https://pith.science/pith/LPQEWKIZZKO3SVDT33BQWU3GTV","bundle":"https://pith.science/pith/LPQEWKIZZKO3SVDT33BQWU3GTV/bundle.json","state":"https://pith.science/pith/LPQEWKIZZKO3SVDT33BQWU3GTV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LPQEWKIZZKO3SVDT33BQWU3GTV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LPQEWKIZZKO3SVDT33BQWU3GTV","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":"a0ba5d44d45640997b725fb8ffc4d579970fcb42691a400e6bea8f9932448eaf","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T17:22:41Z","title_canon_sha256":"7cdcf27490a62375e03e92d2ef9f45f163ff7e42e63c2497eff935bda0fabdf9"},"schema_version":"1.0","source":{"id":"1803.10736","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.10736","created_at":"2026-05-17T23:51:54Z"},{"alias_kind":"arxiv_version","alias_value":"1803.10736v4","created_at":"2026-05-17T23:51:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10736","created_at":"2026-05-17T23:51:54Z"},{"alias_kind":"pith_short_12","alias_value":"LPQEWKIZZKO3","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LPQEWKIZZKO3SVDT","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LPQEWKIZ","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:e94f20668a17947a8498553194c2abeb116debcbbd8e16fc2863361dc2582f3d","target":"graph","created_at":"2026-05-17T23:51:54Z","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":"We present a conceptually new approach to describe state-of-the-art photonic quantum experiments using Graph Theory. There, the quantum states are given by the coherent superpositions of perfect matchings. The crucial observation is that introducing complex weights in graphs naturally leads to quantum interference. The new viewpoint immediately leads to many interesting results, some of which we present here. Firstly, we identify a new and experimentally completely unexplored multiphoton interference phenomenon. Secondly, we find that computing the results of such experiments is #P-hard, which","authors_text":"Anton Zeilinger, Manuel Erhard, Mario Krenn, Xuemei Gu","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T17:22:41Z","title":"Quantum Experiments and Graphs II: Quantum Interference, Computation and State Generation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10736","kind":"arxiv","version":4},"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":"sha256:7efc0ab5d75e0cf58de86b37e913b4f5bc5ac23c069c92b0b490d997b5d0b7c3","target":"record","created_at":"2026-05-17T23:51:54Z","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":"a0ba5d44d45640997b725fb8ffc4d579970fcb42691a400e6bea8f9932448eaf","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T17:22:41Z","title_canon_sha256":"7cdcf27490a62375e03e92d2ef9f45f163ff7e42e63c2497eff935bda0fabdf9"},"schema_version":"1.0","source":{"id":"1803.10736","kind":"arxiv","version":4}},"canonical_sha256":"5be04b2919ca9db95473dec30b53669d4be14e999fc39f91012d5cebc98565f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5be04b2919ca9db95473dec30b53669d4be14e999fc39f91012d5cebc98565f5","first_computed_at":"2026-05-17T23:51:54.648605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:54.648605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l9wwyQz+Mk5ZpOU1vmo6NBq9ufkJu8LArrx2nN8ADRHHWu4Iw6Ipj/BCEbqJbBTY8+JoKEi45jKX9NtLzPf9Dg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:54.649123Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.10736","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7efc0ab5d75e0cf58de86b37e913b4f5bc5ac23c069c92b0b490d997b5d0b7c3","sha256:e94f20668a17947a8498553194c2abeb116debcbbd8e16fc2863361dc2582f3d"],"state_sha256":"d98101aaa3691f31a2b93ef767a2034a89913565f3d211e2f4d547982810ac86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"POqjduj9TynqePQQ+FsE63saYDxlTBhtyh6yERs8XVm2Cov62sZJUB5jadaTjTkOzwjj+mLVDW5KfFtgHR3eAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T23:08:08.108248Z","bundle_sha256":"5aada2d56da04bfc6d823472b0cebd0c7d49fe03ec739806e688f1d4a5b04734"}}