{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:GQSKY4XHCMPW2ZN635R76JTTYR","short_pith_number":"pith:GQSKY4XH","canonical_record":{"source":{"id":"0904.3476","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-22T15:20:18Z","cross_cats_sorted":[],"title_canon_sha256":"f7f28e782f37e574f3b80f0941c3b08ba1864eb0e54e6c205f39a6f2b0d07736","abstract_canon_sha256":"a0276b79261f344e363b4560c42bb3816d39d5f777cdcfa565d811bef0c07e53"},"schema_version":"1.0"},"canonical_sha256":"3424ac72e7131f6d65bedf63ff2673c476a2a73e17a9287741b24c101574eecc","source":{"kind":"arxiv","id":"0904.3476","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3476","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3476v1","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3476","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"pith_short_12","alias_value":"GQSKY4XHCMPW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"GQSKY4XHCMPW2ZN6","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"GQSKY4XH","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:GQSKY4XHCMPW2ZN635R76JTTYR","target":"record","payload":{"canonical_record":{"source":{"id":"0904.3476","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-22T15:20:18Z","cross_cats_sorted":[],"title_canon_sha256":"f7f28e782f37e574f3b80f0941c3b08ba1864eb0e54e6c205f39a6f2b0d07736","abstract_canon_sha256":"a0276b79261f344e363b4560c42bb3816d39d5f777cdcfa565d811bef0c07e53"},"schema_version":"1.0"},"canonical_sha256":"3424ac72e7131f6d65bedf63ff2673c476a2a73e17a9287741b24c101574eecc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:58.079254Z","signature_b64":"nWFwf4mm8pR+TbJPClc3LSPo50chtVQeYXhjZcxk7szy4skm8jYxLDGsLpMcHlspudEZVOCTRHUtj4Mff7MoDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3424ac72e7131f6d65bedf63ff2673c476a2a73e17a9287741b24c101574eecc","last_reissued_at":"2026-05-18T02:13:58.078598Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:58.078598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.3476","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":"2026-05-18T02:13:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5E6/2n0yw/hiFxNLq1APaUYFEESLLCPcP7Rqov7EVlAqlhQs7BfIr7C6AGcIWO/tMmOd6DBGID5msNt2Xv9+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:53:49.539719Z"},"content_sha256":"14b23223cb2f0ca932389bc63cad32c952711628badc1f7e40518171ce00d2a0","schema_version":"1.0","event_id":"sha256:14b23223cb2f0ca932389bc63cad32c952711628badc1f7e40518171ce00d2a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:GQSKY4XHCMPW2ZN635R76JTTYR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"No labeling quantum mechanics of indiscernible particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. Krause, F. Holik, G. Domenech, L. Kniznik","submitted_at":"2009-04-22T15:20:18Z","abstract_excerpt":"Our aim in this paper is to show an example of the formalism we have developed to avoid the label-tensor-product-vector-space-formalism of quantum mechanics when dealing with indistinguishable quanta. States in this new vector space, that we call the Q-space, refer only to occupation numbers and permutation operators act as the identity operator on them, reflecting in the formalism the unobservability of permutations, a goal of quasi-set theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3476","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":"2026-05-18T02:13:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N7IoCoxEOa+cBFiwZrfhGFDDtasW0i3g9afyrabEE7lHPcDMR4NLScmajfV4G7tdR+G1aKz6bt+lFRVyHhYvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:53:49.540061Z"},"content_sha256":"68e65db3c9035a91ed55b5a521ceb79e6ebdc8b40b100204346251a23082e535","schema_version":"1.0","event_id":"sha256:68e65db3c9035a91ed55b5a521ceb79e6ebdc8b40b100204346251a23082e535"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GQSKY4XHCMPW2ZN635R76JTTYR/bundle.json","state_url":"https://pith.science/pith/GQSKY4XHCMPW2ZN635R76JTTYR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GQSKY4XHCMPW2ZN635R76JTTYR/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":"2026-06-02T03:53:49Z","links":{"resolver":"https://pith.science/pith/GQSKY4XHCMPW2ZN635R76JTTYR","bundle":"https://pith.science/pith/GQSKY4XHCMPW2ZN635R76JTTYR/bundle.json","state":"https://pith.science/pith/GQSKY4XHCMPW2ZN635R76JTTYR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GQSKY4XHCMPW2ZN635R76JTTYR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:GQSKY4XHCMPW2ZN635R76JTTYR","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":"a0276b79261f344e363b4560c42bb3816d39d5f777cdcfa565d811bef0c07e53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-22T15:20:18Z","title_canon_sha256":"f7f28e782f37e574f3b80f0941c3b08ba1864eb0e54e6c205f39a6f2b0d07736"},"schema_version":"1.0","source":{"id":"0904.3476","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3476","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3476v1","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3476","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"pith_short_12","alias_value":"GQSKY4XHCMPW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"GQSKY4XHCMPW2ZN6","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"GQSKY4XH","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:68e65db3c9035a91ed55b5a521ceb79e6ebdc8b40b100204346251a23082e535","target":"graph","created_at":"2026-05-18T02:13:58Z","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":"Our aim in this paper is to show an example of the formalism we have developed to avoid the label-tensor-product-vector-space-formalism of quantum mechanics when dealing with indistinguishable quanta. States in this new vector space, that we call the Q-space, refer only to occupation numbers and permutation operators act as the identity operator on them, reflecting in the formalism the unobservability of permutations, a goal of quasi-set theory.","authors_text":"D. Krause, F. Holik, G. Domenech, L. Kniznik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-22T15:20:18Z","title":"No labeling quantum mechanics of indiscernible particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3476","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":"sha256:14b23223cb2f0ca932389bc63cad32c952711628badc1f7e40518171ce00d2a0","target":"record","created_at":"2026-05-18T02:13:58Z","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":"a0276b79261f344e363b4560c42bb3816d39d5f777cdcfa565d811bef0c07e53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-22T15:20:18Z","title_canon_sha256":"f7f28e782f37e574f3b80f0941c3b08ba1864eb0e54e6c205f39a6f2b0d07736"},"schema_version":"1.0","source":{"id":"0904.3476","kind":"arxiv","version":1}},"canonical_sha256":"3424ac72e7131f6d65bedf63ff2673c476a2a73e17a9287741b24c101574eecc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3424ac72e7131f6d65bedf63ff2673c476a2a73e17a9287741b24c101574eecc","first_computed_at":"2026-05-18T02:13:58.078598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:58.078598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nWFwf4mm8pR+TbJPClc3LSPo50chtVQeYXhjZcxk7szy4skm8jYxLDGsLpMcHlspudEZVOCTRHUtj4Mff7MoDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:58.079254Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.3476","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14b23223cb2f0ca932389bc63cad32c952711628badc1f7e40518171ce00d2a0","sha256:68e65db3c9035a91ed55b5a521ceb79e6ebdc8b40b100204346251a23082e535"],"state_sha256":"7e4296452a3ffe099321567ed23b1ab95d7d7cadd8d076f94d62ed266f88a7db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hNX/XsdfA/oQfRTgImpbTUxxNlPQmvGa5nbjNhwsauJuLdQiwDbMXka4OcPAJugTIzp3Eb2xfG+6AkLcBFfhAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:53:49.541991Z","bundle_sha256":"557ba7ec4fa56c387f46c326f37afefe671d4a12e75ee3d06ebc6511207f73f8"}}