{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RVOIFLWR4YIJW5GW7AGZ4PEW5G","short_pith_number":"pith:RVOIFLWR","canonical_record":{"source":{"id":"1306.4525","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-18T05:24:52Z","cross_cats_sorted":[],"title_canon_sha256":"32e9606c2fb71b32d406c9b32489bfcb927755397c3f239185d6b739fb8a1343","abstract_canon_sha256":"d09db9323bf04f68b0cc0ce67ed65f8347c5bb911a02c34642e507498afeff8e"},"schema_version":"1.0"},"canonical_sha256":"8d5c82aed1e6109b74d6f80d9e3c96e9a086146ca927eb41306b9f36221cdcdc","source":{"kind":"arxiv","id":"1306.4525","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4525","created_at":"2026-05-18T03:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4525v2","created_at":"2026-05-18T03:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4525","created_at":"2026-05-18T03:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"RVOIFLWR4YIJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RVOIFLWR4YIJW5GW","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RVOIFLWR","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RVOIFLWR4YIJW5GW7AGZ4PEW5G","target":"record","payload":{"canonical_record":{"source":{"id":"1306.4525","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-18T05:24:52Z","cross_cats_sorted":[],"title_canon_sha256":"32e9606c2fb71b32d406c9b32489bfcb927755397c3f239185d6b739fb8a1343","abstract_canon_sha256":"d09db9323bf04f68b0cc0ce67ed65f8347c5bb911a02c34642e507498afeff8e"},"schema_version":"1.0"},"canonical_sha256":"8d5c82aed1e6109b74d6f80d9e3c96e9a086146ca927eb41306b9f36221cdcdc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:22.042474Z","signature_b64":"DDxNvZVEkpdcmZq4ce7rL+S6MnUwClTmdgptAfGklGo2up09dTCSJJYmIxqiGt2ea7HxH/KGFsqgBPYPUaH0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d5c82aed1e6109b74d6f80d9e3c96e9a086146ca927eb41306b9f36221cdcdc","last_reissued_at":"2026-05-18T03:20:22.041822Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:22.041822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.4525","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":"2026-05-18T03:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZwaEQ/teomT17rP5m1/ekQA2tlv3/tc+zn5uuvlLXk/6Y9HqGTXoqflpcSGerNaIy3zfrtxTq7JPGvlta07TDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T05:02:25.960241Z"},"content_sha256":"fc6f257b78d98999f0b74cce248eb22f038788f9bee26941eba9f6583cee6144","schema_version":"1.0","event_id":"sha256:fc6f257b78d98999f0b74cce248eb22f038788f9bee26941eba9f6583cee6144"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RVOIFLWR4YIJW5GW7AGZ4PEW5G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Separation of spin and charge in the continuum Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Dine Ousmane Samary","submitted_at":"2013-06-18T05:24:52Z","abstract_excerpt":"I describe here the attempt to introduce spin-charge separation in Schrodinger equation. The construction we present here gives a decomposed Schrodinger spinor that has one problem: Its absolute value can only have value between 0 and ${1}{2}$. The problem we solve is to expand and generalize this construction so that one can have a Schrodinger spinor with absolute value that are arbitrary non-negative numbers. It may be that one has to introduce a set of different decompositions to cover all nonnegative values, that is to introduce patches over $\\mathbb{R}_{+}^{3}$ so that in each patch one h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4525","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":"2026-05-18T03:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5pL0mBtne/jT2+BLgn5zle5331eoEMBVq0ItC1B5X6rxaiL8oWbR+PzEmb/C5pt97l3RXTKutVag3U+ZJzS4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T05:02:25.960602Z"},"content_sha256":"37736ad6822a2342ef378ac76aa7067779283564ebc7caf110ff247d6b921e65","schema_version":"1.0","event_id":"sha256:37736ad6822a2342ef378ac76aa7067779283564ebc7caf110ff247d6b921e65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RVOIFLWR4YIJW5GW7AGZ4PEW5G/bundle.json","state_url":"https://pith.science/pith/RVOIFLWR4YIJW5GW7AGZ4PEW5G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RVOIFLWR4YIJW5GW7AGZ4PEW5G/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":"2026-06-12T05:02:25Z","links":{"resolver":"https://pith.science/pith/RVOIFLWR4YIJW5GW7AGZ4PEW5G","bundle":"https://pith.science/pith/RVOIFLWR4YIJW5GW7AGZ4PEW5G/bundle.json","state":"https://pith.science/pith/RVOIFLWR4YIJW5GW7AGZ4PEW5G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RVOIFLWR4YIJW5GW7AGZ4PEW5G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RVOIFLWR4YIJW5GW7AGZ4PEW5G","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":"d09db9323bf04f68b0cc0ce67ed65f8347c5bb911a02c34642e507498afeff8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-18T05:24:52Z","title_canon_sha256":"32e9606c2fb71b32d406c9b32489bfcb927755397c3f239185d6b739fb8a1343"},"schema_version":"1.0","source":{"id":"1306.4525","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4525","created_at":"2026-05-18T03:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4525v2","created_at":"2026-05-18T03:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4525","created_at":"2026-05-18T03:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"RVOIFLWR4YIJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RVOIFLWR4YIJW5GW","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RVOIFLWR","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:37736ad6822a2342ef378ac76aa7067779283564ebc7caf110ff247d6b921e65","target":"graph","created_at":"2026-05-18T03:20:22Z","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":"I describe here the attempt to introduce spin-charge separation in Schrodinger equation. The construction we present here gives a decomposed Schrodinger spinor that has one problem: Its absolute value can only have value between 0 and ${1}{2}$. The problem we solve is to expand and generalize this construction so that one can have a Schrodinger spinor with absolute value that are arbitrary non-negative numbers. It may be that one has to introduce a set of different decompositions to cover all nonnegative values, that is to introduce patches over $\\mathbb{R}_{+}^{3}$ so that in each patch one h","authors_text":"Dine Ousmane Samary","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-18T05:24:52Z","title":"Separation of spin and charge in the continuum Schr\\\"odinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4525","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:fc6f257b78d98999f0b74cce248eb22f038788f9bee26941eba9f6583cee6144","target":"record","created_at":"2026-05-18T03:20:22Z","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":"d09db9323bf04f68b0cc0ce67ed65f8347c5bb911a02c34642e507498afeff8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-18T05:24:52Z","title_canon_sha256":"32e9606c2fb71b32d406c9b32489bfcb927755397c3f239185d6b739fb8a1343"},"schema_version":"1.0","source":{"id":"1306.4525","kind":"arxiv","version":2}},"canonical_sha256":"8d5c82aed1e6109b74d6f80d9e3c96e9a086146ca927eb41306b9f36221cdcdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d5c82aed1e6109b74d6f80d9e3c96e9a086146ca927eb41306b9f36221cdcdc","first_computed_at":"2026-05-18T03:20:22.041822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:22.041822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DDxNvZVEkpdcmZq4ce7rL+S6MnUwClTmdgptAfGklGo2up09dTCSJJYmIxqiGt2ea7HxH/KGFsqgBPYPUaH0Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:22.042474Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4525","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc6f257b78d98999f0b74cce248eb22f038788f9bee26941eba9f6583cee6144","sha256:37736ad6822a2342ef378ac76aa7067779283564ebc7caf110ff247d6b921e65"],"state_sha256":"95178fbc9a116976a778e4c95a91404faa7cfebccdb6cb7f33797828f298c1ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tludzHsFHWmWxAr3dIdYMpMa74e+9JzqbWqcyUq/Ro443p4zqiWczeAQCsbcTisw0XyBHP0aoh7t5dDHF+CrBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T05:02:25.962685Z","bundle_sha256":"348da4b5b0e18914c93050bf2345b5ccc400b4a684be5b423906398ef974ba8f"}}