{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:C2JBXC2QOLIQGI2LI2PNDN67RF","short_pith_number":"pith:C2JBXC2Q","canonical_record":{"source":{"id":"0907.2358","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-14T14:04:51Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"06d4de8803afd10616c7910d24c2196d69b219788670127ee5b9ab235cc65a7d","abstract_canon_sha256":"d128370b1345e87a9f835c5c82259eea06f146441203b7d2b93fdc69fd1b9d03"},"schema_version":"1.0"},"canonical_sha256":"16921b8b5072d103234b469ed1b7df894eb4eba50bcd656aca53af74fd8c0ac0","source":{"kind":"arxiv","id":"0907.2358","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.2358","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"arxiv_version","alias_value":"0907.2358v1","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.2358","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"pith_short_12","alias_value":"C2JBXC2QOLIQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"C2JBXC2QOLIQGI2L","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"C2JBXC2Q","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:C2JBXC2QOLIQGI2LI2PNDN67RF","target":"record","payload":{"canonical_record":{"source":{"id":"0907.2358","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-14T14:04:51Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"06d4de8803afd10616c7910d24c2196d69b219788670127ee5b9ab235cc65a7d","abstract_canon_sha256":"d128370b1345e87a9f835c5c82259eea06f146441203b7d2b93fdc69fd1b9d03"},"schema_version":"1.0"},"canonical_sha256":"16921b8b5072d103234b469ed1b7df894eb4eba50bcd656aca53af74fd8c0ac0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:38.825933Z","signature_b64":"ESpPEOAFdZw+0oDbK68lub1TGn7N6cUvDc5zPNdxKDqj9ecW1JLoNtgXT9GdsIiHYTBDwY5pSdoHSCsld4V/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16921b8b5072d103234b469ed1b7df894eb4eba50bcd656aca53af74fd8c0ac0","last_reissued_at":"2026-05-18T02:34:38.825350Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:38.825350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.2358","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":"2026-05-18T02:34:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O46cl2ej93yiMUfN510KJIJaHVDFbQCXpA1jXNdVScNA1np4ulYclcLWGjaUUmSnr17P9C9yoSxFgcKMx7IHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:11:40.441424Z"},"content_sha256":"a12827b20671df67eadddb9058928a66329c2dd59d277733fb3e9987d00cb964","schema_version":"1.0","event_id":"sha256:a12827b20671df67eadddb9058928a66329c2dd59d277733fb3e9987d00cb964"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:C2JBXC2QOLIQGI2LI2PNDN67RF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fermionic dual of one-dimensional bosonic particles with derivative delta function potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"B. Basu-Mallick, Tanaya Bhattacharyya","submitted_at":"2009-07-14T14:04:51Z","abstract_excerpt":"We investigate the boson-fermion duality relation for the case of quantum integrable derivative $\\delta$-function bose gas. In particular, we find out a dual fermionic system with nonvanishing zero-range interaction for the simplest case of two bosonic particles with derivative $\\delta$-function interaction. The coupling constant of this dual fermionic system becomes inversely proportional to the product of the coupling constant of its bosonic counterpart and the centre-of-mass momentum of the corresponding eigenfunction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.2358","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":"2026-05-18T02:34:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rQHeOxtBuQscc/E+xS6XdwTAteMuSCiaEw2vRQ3ohML+FId2qMIHlUFmY6B9tzz6rMoctaRWxtH7FsobJagKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:11:40.441777Z"},"content_sha256":"09ac5ab3afc120aa73d27692bd9a58aa159769191d9a290d7d28c4188162167a","schema_version":"1.0","event_id":"sha256:09ac5ab3afc120aa73d27692bd9a58aa159769191d9a290d7d28c4188162167a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C2JBXC2QOLIQGI2LI2PNDN67RF/bundle.json","state_url":"https://pith.science/pith/C2JBXC2QOLIQGI2LI2PNDN67RF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C2JBXC2QOLIQGI2LI2PNDN67RF/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":"2026-06-02T16:11:40Z","links":{"resolver":"https://pith.science/pith/C2JBXC2QOLIQGI2LI2PNDN67RF","bundle":"https://pith.science/pith/C2JBXC2QOLIQGI2LI2PNDN67RF/bundle.json","state":"https://pith.science/pith/C2JBXC2QOLIQGI2LI2PNDN67RF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C2JBXC2QOLIQGI2LI2PNDN67RF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:C2JBXC2QOLIQGI2LI2PNDN67RF","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":"d128370b1345e87a9f835c5c82259eea06f146441203b7d2b93fdc69fd1b9d03","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-14T14:04:51Z","title_canon_sha256":"06d4de8803afd10616c7910d24c2196d69b219788670127ee5b9ab235cc65a7d"},"schema_version":"1.0","source":{"id":"0907.2358","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.2358","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"arxiv_version","alias_value":"0907.2358v1","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.2358","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"pith_short_12","alias_value":"C2JBXC2QOLIQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"C2JBXC2QOLIQGI2L","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"C2JBXC2Q","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:09ac5ab3afc120aa73d27692bd9a58aa159769191d9a290d7d28c4188162167a","target":"graph","created_at":"2026-05-18T02:34:38Z","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 investigate the boson-fermion duality relation for the case of quantum integrable derivative $\\delta$-function bose gas. In particular, we find out a dual fermionic system with nonvanishing zero-range interaction for the simplest case of two bosonic particles with derivative $\\delta$-function interaction. The coupling constant of this dual fermionic system becomes inversely proportional to the product of the coupling constant of its bosonic counterpart and the centre-of-mass momentum of the corresponding eigenfunction.","authors_text":"B. Basu-Mallick, Tanaya Bhattacharyya","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-14T14:04:51Z","title":"Fermionic dual of one-dimensional bosonic particles with derivative delta function potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.2358","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:a12827b20671df67eadddb9058928a66329c2dd59d277733fb3e9987d00cb964","target":"record","created_at":"2026-05-18T02:34:38Z","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":"d128370b1345e87a9f835c5c82259eea06f146441203b7d2b93fdc69fd1b9d03","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-14T14:04:51Z","title_canon_sha256":"06d4de8803afd10616c7910d24c2196d69b219788670127ee5b9ab235cc65a7d"},"schema_version":"1.0","source":{"id":"0907.2358","kind":"arxiv","version":1}},"canonical_sha256":"16921b8b5072d103234b469ed1b7df894eb4eba50bcd656aca53af74fd8c0ac0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16921b8b5072d103234b469ed1b7df894eb4eba50bcd656aca53af74fd8c0ac0","first_computed_at":"2026-05-18T02:34:38.825350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:38.825350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ESpPEOAFdZw+0oDbK68lub1TGn7N6cUvDc5zPNdxKDqj9ecW1JLoNtgXT9GdsIiHYTBDwY5pSdoHSCsld4V/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:38.825933Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.2358","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a12827b20671df67eadddb9058928a66329c2dd59d277733fb3e9987d00cb964","sha256:09ac5ab3afc120aa73d27692bd9a58aa159769191d9a290d7d28c4188162167a"],"state_sha256":"ae09061ac10cff3de6418a3cf0ef00e2274bf918bb0eba255548098b1ddcbf23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GDD74VQuDfbvle2o/0MFMFelxKuv9oLPFHNvCskk2nK09nLPHl4/NnpW9fkKvbfhspkn/I5DhUTx2aaesI2NDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T16:11:40.443685Z","bundle_sha256":"1a2529c70320cc8404f94db6ebbb216093913432d849dc5335319a708e87fbdd"}}