{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:KJFDGJJNQNAHB7KH6Y2XQ3JVCH","short_pith_number":"pith:KJFDGJJN","canonical_record":{"source":{"id":"1109.6792","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-09-30T11:14:58Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"719554caa4e3dd400afddd91d53a8daec3d873050fc7e96092456cfc5573e60a","abstract_canon_sha256":"b7afb27d512a7cb3b3931164eafe60f9f4e02ddd77dcf666e4f3b9de4fa1a0d7"},"schema_version":"1.0"},"canonical_sha256":"524a33252d834070fd47f635786d3511e09f44f11ea082d1a3dbd8c53abd193e","source":{"kind":"arxiv","id":"1109.6792","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6792","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6792v3","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6792","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"KJFDGJJNQNAH","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KJFDGJJNQNAHB7KH","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KJFDGJJN","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:KJFDGJJNQNAHB7KH6Y2XQ3JVCH","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6792","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-09-30T11:14:58Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"719554caa4e3dd400afddd91d53a8daec3d873050fc7e96092456cfc5573e60a","abstract_canon_sha256":"b7afb27d512a7cb3b3931164eafe60f9f4e02ddd77dcf666e4f3b9de4fa1a0d7"},"schema_version":"1.0"},"canonical_sha256":"524a33252d834070fd47f635786d3511e09f44f11ea082d1a3dbd8c53abd193e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:58.987902Z","signature_b64":"aqj8coz9F5dSzcrEaOquraOdaa+G8oHTP54fPVkp9LRN3iM9PrdSYPtMn5KOHM3NdC9CYqqaZuMwvYpO/aqVCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"524a33252d834070fd47f635786d3511e09f44f11ea082d1a3dbd8c53abd193e","last_reissued_at":"2026-05-18T04:05:58.987392Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:58.987392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6792","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P0s9XBLktiQfv1h0yOcuv0PS5gG0TImmLCeDQOpawvUukz6jQstbC7rN0LoTbMTA0TBChvmnCXdUxcqnhWLHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:54:25.674466Z"},"content_sha256":"842c4e786050bd53156bc70e2375fafafe97db3e558956b956b8d2ffdc2036e2","schema_version":"1.0","event_id":"sha256:842c4e786050bd53156bc70e2375fafafe97db3e558956b956b8d2ffdc2036e2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:KJFDGJJNQNAHB7KH6Y2XQ3JVCH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Klaus Molmer, Manuel Valiente, Nikolaj Zinner","submitted_at":"2011-09-30T11:14:58Z","abstract_excerpt":"We present universal relations for a two-dimensional Fermi gas with pairwise contact interactions. The derivation of these relations is made possible by obtaining the explicit form of a generalized function -- selector -- in the momentum representation. The selector implements the short-distance boundary condition between two fermions in a straightforward manner, and leads to simple derivations of the universal relations, in the spirit of Tan's original method for the three-dimensional gas."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6792","kind":"arxiv","version":3},"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":"2026-05-18T04:05:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AjgZuKSXkgJo4lIS4jJ+ENJt5w+eRGB7XKJH9jlOGZH8C78GYaLmqNUmc1nnJbRK1Ft6VqAKmBQgifQf4sahDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:54:25.674828Z"},"content_sha256":"bb760fd8b3480606b3b06f59fd6e793aff67c9130335180327ff566e9d3802dc","schema_version":"1.0","event_id":"sha256:bb760fd8b3480606b3b06f59fd6e793aff67c9130335180327ff566e9d3802dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KJFDGJJNQNAHB7KH6Y2XQ3JVCH/bundle.json","state_url":"https://pith.science/pith/KJFDGJJNQNAHB7KH6Y2XQ3JVCH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KJFDGJJNQNAHB7KH6Y2XQ3JVCH/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":"2026-06-04T04:54:25Z","links":{"resolver":"https://pith.science/pith/KJFDGJJNQNAHB7KH6Y2XQ3JVCH","bundle":"https://pith.science/pith/KJFDGJJNQNAHB7KH6Y2XQ3JVCH/bundle.json","state":"https://pith.science/pith/KJFDGJJNQNAHB7KH6Y2XQ3JVCH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KJFDGJJNQNAHB7KH6Y2XQ3JVCH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KJFDGJJNQNAHB7KH6Y2XQ3JVCH","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":"b7afb27d512a7cb3b3931164eafe60f9f4e02ddd77dcf666e4f3b9de4fa1a0d7","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-09-30T11:14:58Z","title_canon_sha256":"719554caa4e3dd400afddd91d53a8daec3d873050fc7e96092456cfc5573e60a"},"schema_version":"1.0","source":{"id":"1109.6792","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6792","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6792v3","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6792","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"KJFDGJJNQNAH","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KJFDGJJNQNAHB7KH","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KJFDGJJN","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:bb760fd8b3480606b3b06f59fd6e793aff67c9130335180327ff566e9d3802dc","target":"graph","created_at":"2026-05-18T04:05:58Z","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":"We present universal relations for a two-dimensional Fermi gas with pairwise contact interactions. The derivation of these relations is made possible by obtaining the explicit form of a generalized function -- selector -- in the momentum representation. The selector implements the short-distance boundary condition between two fermions in a straightforward manner, and leads to simple derivations of the universal relations, in the spirit of Tan's original method for the three-dimensional gas.","authors_text":"Klaus Molmer, Manuel Valiente, Nikolaj Zinner","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-09-30T11:14:58Z","title":"Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6792","kind":"arxiv","version":3},"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":"sha256:842c4e786050bd53156bc70e2375fafafe97db3e558956b956b8d2ffdc2036e2","target":"record","created_at":"2026-05-18T04:05:58Z","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":"b7afb27d512a7cb3b3931164eafe60f9f4e02ddd77dcf666e4f3b9de4fa1a0d7","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-09-30T11:14:58Z","title_canon_sha256":"719554caa4e3dd400afddd91d53a8daec3d873050fc7e96092456cfc5573e60a"},"schema_version":"1.0","source":{"id":"1109.6792","kind":"arxiv","version":3}},"canonical_sha256":"524a33252d834070fd47f635786d3511e09f44f11ea082d1a3dbd8c53abd193e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"524a33252d834070fd47f635786d3511e09f44f11ea082d1a3dbd8c53abd193e","first_computed_at":"2026-05-18T04:05:58.987392Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:58.987392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aqj8coz9F5dSzcrEaOquraOdaa+G8oHTP54fPVkp9LRN3iM9PrdSYPtMn5KOHM3NdC9CYqqaZuMwvYpO/aqVCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:58.987902Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6792","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:842c4e786050bd53156bc70e2375fafafe97db3e558956b956b8d2ffdc2036e2","sha256:bb760fd8b3480606b3b06f59fd6e793aff67c9130335180327ff566e9d3802dc"],"state_sha256":"3f8235c6fc6248b57194087adf6a47f4064bb1b8582890b766ab82638089ee19"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kfQK0f/CAk1n2GzYsCCUl75aCyF3pw6I5FFlCk1F2T9gHJpfHWY2yFXnOjMIJDT6+uZF7/bpIyxgpt2wa7f4Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:54:25.676773Z","bundle_sha256":"001d27c82f567cf3dacad03eb20f159294e8ceb92c898eb50d7e15be1a17a768"}}