{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:5VKT6BVPBNRPQBH43WVWQ7Q6ZY","short_pith_number":"pith:5VKT6BVP","canonical_record":{"source":{"id":"2112.13180","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-25T03:42:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"cdb8f01275fc2f1bec0e97b7909307eb97126710860421731b2dca56ee8f1ea9","abstract_canon_sha256":"4733c683525e3bfa10b5a836c89d7f822f35081c612844dd8096ad8a99eafaa5"},"schema_version":"1.0"},"canonical_sha256":"ed553f06af0b62f804fcddab687e1ece2895063a05816bf71424053f13ef2403","source":{"kind":"arxiv","id":"2112.13180","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.13180","created_at":"2026-07-05T03:43:50Z"},{"alias_kind":"arxiv_version","alias_value":"2112.13180v1","created_at":"2026-07-05T03:43:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.13180","created_at":"2026-07-05T03:43:50Z"},{"alias_kind":"pith_short_12","alias_value":"5VKT6BVPBNRP","created_at":"2026-07-05T03:43:50Z"},{"alias_kind":"pith_short_16","alias_value":"5VKT6BVPBNRPQBH4","created_at":"2026-07-05T03:43:50Z"},{"alias_kind":"pith_short_8","alias_value":"5VKT6BVP","created_at":"2026-07-05T03:43:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:5VKT6BVPBNRPQBH43WVWQ7Q6ZY","target":"record","payload":{"canonical_record":{"source":{"id":"2112.13180","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-25T03:42:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"cdb8f01275fc2f1bec0e97b7909307eb97126710860421731b2dca56ee8f1ea9","abstract_canon_sha256":"4733c683525e3bfa10b5a836c89d7f822f35081c612844dd8096ad8a99eafaa5"},"schema_version":"1.0"},"canonical_sha256":"ed553f06af0b62f804fcddab687e1ece2895063a05816bf71424053f13ef2403","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:43:50.771300Z","signature_b64":"SfyCrxgURYySw+BfG/BTf5sweDBhoqJ3e/eWQhpQxkAD2Ir4xG8U+TdzzYrU3puhoBTYXKKCjhHAQeCpTVf9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed553f06af0b62f804fcddab687e1ece2895063a05816bf71424053f13ef2403","last_reissued_at":"2026-07-05T03:43:50.770940Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:43:50.770940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.13180","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":"2026-07-05T03:43:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xkQ9LC2N8TJ9qx2eRvoQjl/3LU6hBcyTkJRbWnx7qnxI1IpdcjZAz5UPXyhGI7NNAZ9WRSUCw9eu5hUZiwT2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T17:43:00.684106Z"},"content_sha256":"b93df65c6536de6bbf0d8d7df3d631cb980e835814a9a675bd20c752c1c5a376","schema_version":"1.0","event_id":"sha256:b93df65c6536de6bbf0d8d7df3d631cb980e835814a9a675bd20c752c1c5a376"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:5VKT6BVPBNRPQBH43WVWQ7Q6ZY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic electron wave packets featuring persistent quantum backflow","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Siddhant Das","submitted_at":"2021-12-25T03:42:06Z","abstract_excerpt":"Closed-form, normalizable solutions of Dirac's equation propagating within a semi-infinite cylindrical waveguide are obtained in terms of ordinary and modified Bessel functions. These relativistic wave packets induce quantum backflow on a cross-section of the cylinder at practically any distance along the waveguide, becoming spin-polarized in the nonrelativistic limit. The predicted backflow is stable in time and is manifest regardless of the initial wave function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.13180","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/2112.13180/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":"2026-07-05T03:43:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HHH11c4vBked7D1mXdc69fVhA/APDH/gQUo/TbMEEvA+1MzU059DYXbv8o86fjsohCSJ7y4VHufYJqHtKqYTBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T17:43:00.684603Z"},"content_sha256":"b6f2926017dd33480762ae571985ff0203deb3ffbdd7f65f459072244684751b","schema_version":"1.0","event_id":"sha256:b6f2926017dd33480762ae571985ff0203deb3ffbdd7f65f459072244684751b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5VKT6BVPBNRPQBH43WVWQ7Q6ZY/bundle.json","state_url":"https://pith.science/pith/5VKT6BVPBNRPQBH43WVWQ7Q6ZY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5VKT6BVPBNRPQBH43WVWQ7Q6ZY/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":"2026-08-15T17:43:00Z","links":{"resolver":"https://pith.science/pith/5VKT6BVPBNRPQBH43WVWQ7Q6ZY","bundle":"https://pith.science/pith/5VKT6BVPBNRPQBH43WVWQ7Q6ZY/bundle.json","state":"https://pith.science/pith/5VKT6BVPBNRPQBH43WVWQ7Q6ZY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5VKT6BVPBNRPQBH43WVWQ7Q6ZY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:5VKT6BVPBNRPQBH43WVWQ7Q6ZY","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":"4733c683525e3bfa10b5a836c89d7f822f35081c612844dd8096ad8a99eafaa5","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-25T03:42:06Z","title_canon_sha256":"cdb8f01275fc2f1bec0e97b7909307eb97126710860421731b2dca56ee8f1ea9"},"schema_version":"1.0","source":{"id":"2112.13180","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.13180","created_at":"2026-07-05T03:43:50Z"},{"alias_kind":"arxiv_version","alias_value":"2112.13180v1","created_at":"2026-07-05T03:43:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.13180","created_at":"2026-07-05T03:43:50Z"},{"alias_kind":"pith_short_12","alias_value":"5VKT6BVPBNRP","created_at":"2026-07-05T03:43:50Z"},{"alias_kind":"pith_short_16","alias_value":"5VKT6BVPBNRPQBH4","created_at":"2026-07-05T03:43:50Z"},{"alias_kind":"pith_short_8","alias_value":"5VKT6BVP","created_at":"2026-07-05T03:43:50Z"}],"graph_snapshots":[{"event_id":"sha256:b6f2926017dd33480762ae571985ff0203deb3ffbdd7f65f459072244684751b","target":"graph","created_at":"2026-07-05T03:43:50Z","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/2112.13180/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Closed-form, normalizable solutions of Dirac's equation propagating within a semi-infinite cylindrical waveguide are obtained in terms of ordinary and modified Bessel functions. These relativistic wave packets induce quantum backflow on a cross-section of the cylinder at practically any distance along the waveguide, becoming spin-polarized in the nonrelativistic limit. The predicted backflow is stable in time and is manifest regardless of the initial wave function.","authors_text":"Siddhant Das","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-25T03:42:06Z","title":"Relativistic electron wave packets featuring persistent quantum backflow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.13180","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:b93df65c6536de6bbf0d8d7df3d631cb980e835814a9a675bd20c752c1c5a376","target":"record","created_at":"2026-07-05T03:43:50Z","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":"4733c683525e3bfa10b5a836c89d7f822f35081c612844dd8096ad8a99eafaa5","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-25T03:42:06Z","title_canon_sha256":"cdb8f01275fc2f1bec0e97b7909307eb97126710860421731b2dca56ee8f1ea9"},"schema_version":"1.0","source":{"id":"2112.13180","kind":"arxiv","version":1}},"canonical_sha256":"ed553f06af0b62f804fcddab687e1ece2895063a05816bf71424053f13ef2403","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed553f06af0b62f804fcddab687e1ece2895063a05816bf71424053f13ef2403","first_computed_at":"2026-07-05T03:43:50.770940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:43:50.770940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SfyCrxgURYySw+BfG/BTf5sweDBhoqJ3e/eWQhpQxkAD2Ir4xG8U+TdzzYrU3puhoBTYXKKCjhHAQeCpTVf9Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:43:50.771300Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.13180","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b93df65c6536de6bbf0d8d7df3d631cb980e835814a9a675bd20c752c1c5a376","sha256:b6f2926017dd33480762ae571985ff0203deb3ffbdd7f65f459072244684751b"],"state_sha256":"0d58bd4310f4a736b729c0b0b8747c6b01fba83e51a5d4762bca6406f932f039"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4+as0G/JlbCl4ckEPUa2I30b8pjXgrHMlbi871VZIsCP2KcfVGmPKH4eJjoFI8qRw4/F4VtjvnfK4rQhlIPeBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T17:43:00.689907Z","bundle_sha256":"8f3e03179e8dd95d6202707bec2eb5c0dc975cbf70b65f2c4b80be61f812ebc3"}}