{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3PKKJ4IHKQ6QYXWDDBKQ232ADV","short_pith_number":"pith:3PKKJ4IH","canonical_record":{"source":{"id":"1708.00826","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-02T17:04:25Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"9cf444ec5104828356bda58b7e4577fa7f14a26b0cdd2ddd1f891c1c43f51d09","abstract_canon_sha256":"286a19c5b8bedba3626fa9fcbcd6f43c5f2baeaefbdbb668f28a338ef380c9e1"},"schema_version":"1.0"},"canonical_sha256":"dbd4a4f107543d0c5ec318550d6f401d65762cd34fd911ea22483be9a5096337","source":{"kind":"arxiv","id":"1708.00826","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.00826","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"1708.00826v2","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00826","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"3PKKJ4IHKQ6Q","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3PKKJ4IHKQ6QYXWD","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3PKKJ4IH","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3PKKJ4IHKQ6QYXWDDBKQ232ADV","target":"record","payload":{"canonical_record":{"source":{"id":"1708.00826","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-02T17:04:25Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"9cf444ec5104828356bda58b7e4577fa7f14a26b0cdd2ddd1f891c1c43f51d09","abstract_canon_sha256":"286a19c5b8bedba3626fa9fcbcd6f43c5f2baeaefbdbb668f28a338ef380c9e1"},"schema_version":"1.0"},"canonical_sha256":"dbd4a4f107543d0c5ec318550d6f401d65762cd34fd911ea22483be9a5096337","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:01.250594Z","signature_b64":"dSpNOFFEu5IEoKAIqt0swSzabKWGjJZm/8nrqJeEHT1DHkdhOGgUuuuo1iXGA8/zOOJ1ctKGgAc4C7c6MOXQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbd4a4f107543d0c5ec318550d6f401d65762cd34fd911ea22483be9a5096337","last_reissued_at":"2026-05-18T00:29:01.250117Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:01.250117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.00826","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cgucrKghibG2ebtR/oC6LvzNCLmrQ7tdK0sI7I3YUiXmQb49rH57UchDBozhnEMhR4u07li1uBVpURc7IKYiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T03:23:49.509618Z"},"content_sha256":"31d022a0d74fd0670b0b36b65ce9fdecc2a46020c87b561f353d1c5f4c27e4cc","schema_version":"1.0","event_id":"sha256:31d022a0d74fd0670b0b36b65ce9fdecc2a46020c87b561f353d1c5f4c27e4cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3PKKJ4IHKQ6QYXWDDBKQ232ADV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isotropic quantum walks on lattices and the Weyl equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Giacomo Mauro D'Ariano, Marco Erba, Paolo Perinotti","submitted_at":"2017-08-02T17:04:25Z","abstract_excerpt":"We present a thorough classification of the isotropic quantum walks on lattices of dimension $d=1,2,3$ for cell dimension $s=2$. For $d=3$ there exist two isotropic walks, namely the Weyl quantum walks presented in Ref. [G. M. D'Ariano and P. Perinotti, Phys. Rev. A 90, 062106 (2014)], resulting in the derivation of the Weyl equation from informational principles. The present analysis, via a crucial use of isotropy, is significantly shorter and avoids a superfluous technical assumption, making the result completely general."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00826","kind":"arxiv","version":2},"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":"2026-05-18T00:29:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gviuyJZWJXpA59zTpzFrpJ6nWjtGkkN7pWTOoXC+H2vOUj4zTnAYFg5n700B0hMMLW5MlJPk7WFGpCda0MwmDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T03:23:49.510295Z"},"content_sha256":"f1abf99c17b0c05f2f74f491d6700275b588523531b2c78b274dc5506e6f9ea9","schema_version":"1.0","event_id":"sha256:f1abf99c17b0c05f2f74f491d6700275b588523531b2c78b274dc5506e6f9ea9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3PKKJ4IHKQ6QYXWDDBKQ232ADV/bundle.json","state_url":"https://pith.science/pith/3PKKJ4IHKQ6QYXWDDBKQ232ADV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3PKKJ4IHKQ6QYXWDDBKQ232ADV/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":"2026-06-08T03:23:49Z","links":{"resolver":"https://pith.science/pith/3PKKJ4IHKQ6QYXWDDBKQ232ADV","bundle":"https://pith.science/pith/3PKKJ4IHKQ6QYXWDDBKQ232ADV/bundle.json","state":"https://pith.science/pith/3PKKJ4IHKQ6QYXWDDBKQ232ADV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3PKKJ4IHKQ6QYXWDDBKQ232ADV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3PKKJ4IHKQ6QYXWDDBKQ232ADV","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":"286a19c5b8bedba3626fa9fcbcd6f43c5f2baeaefbdbb668f28a338ef380c9e1","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-02T17:04:25Z","title_canon_sha256":"9cf444ec5104828356bda58b7e4577fa7f14a26b0cdd2ddd1f891c1c43f51d09"},"schema_version":"1.0","source":{"id":"1708.00826","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.00826","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"1708.00826v2","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00826","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"3PKKJ4IHKQ6Q","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3PKKJ4IHKQ6QYXWD","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3PKKJ4IH","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:f1abf99c17b0c05f2f74f491d6700275b588523531b2c78b274dc5506e6f9ea9","target":"graph","created_at":"2026-05-18T00:29:01Z","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 thorough classification of the isotropic quantum walks on lattices of dimension $d=1,2,3$ for cell dimension $s=2$. For $d=3$ there exist two isotropic walks, namely the Weyl quantum walks presented in Ref. [G. M. D'Ariano and P. Perinotti, Phys. Rev. A 90, 062106 (2014)], resulting in the derivation of the Weyl equation from informational principles. The present analysis, via a crucial use of isotropy, is significantly shorter and avoids a superfluous technical assumption, making the result completely general.","authors_text":"Giacomo Mauro D'Ariano, Marco Erba, Paolo Perinotti","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-02T17:04:25Z","title":"Isotropic quantum walks on lattices and the Weyl equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00826","kind":"arxiv","version":2},"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":"sha256:31d022a0d74fd0670b0b36b65ce9fdecc2a46020c87b561f353d1c5f4c27e4cc","target":"record","created_at":"2026-05-18T00:29:01Z","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":"286a19c5b8bedba3626fa9fcbcd6f43c5f2baeaefbdbb668f28a338ef380c9e1","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-02T17:04:25Z","title_canon_sha256":"9cf444ec5104828356bda58b7e4577fa7f14a26b0cdd2ddd1f891c1c43f51d09"},"schema_version":"1.0","source":{"id":"1708.00826","kind":"arxiv","version":2}},"canonical_sha256":"dbd4a4f107543d0c5ec318550d6f401d65762cd34fd911ea22483be9a5096337","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbd4a4f107543d0c5ec318550d6f401d65762cd34fd911ea22483be9a5096337","first_computed_at":"2026-05-18T00:29:01.250117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:01.250117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dSpNOFFEu5IEoKAIqt0swSzabKWGjJZm/8nrqJeEHT1DHkdhOGgUuuuo1iXGA8/zOOJ1ctKGgAc4C7c6MOXQBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:01.250594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.00826","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31d022a0d74fd0670b0b36b65ce9fdecc2a46020c87b561f353d1c5f4c27e4cc","sha256:f1abf99c17b0c05f2f74f491d6700275b588523531b2c78b274dc5506e6f9ea9"],"state_sha256":"edfe68b6e89643e5c748cbac4cd4b4f40406fac7567309f8fe3ecf542feb976f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EEGvLq9YeVECyDzCth8X/A+a7LvJwR7ilPga/np9fKLpWXt45LahhEs8G+BL1kwgpxmkV1x/wWuP3K8b/8UiDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T03:23:49.514238Z","bundle_sha256":"53ccfce5e0dfeea91da729ebc0c6e9105f1b113111e939ea680753385216b3c0"}}