{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:YRNW2D56UVE77CQR24QD4ZUREY","short_pith_number":"pith:YRNW2D56","canonical_record":{"source":{"id":"2006.05131","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-09T09:03:00Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"c3ae41e555f52059a61561de93406f5ba73eb3f24a8e7b21d3f7700c86bc0004","abstract_canon_sha256":"e1d0a95a4a110e12404fb2e2b7cbd2ee2b4e02815fec76fbdb36546ccd72976f"},"schema_version":"1.0"},"canonical_sha256":"c45b6d0fbea549ff8a11d7203e6691260daa069e294c935e19b0b7e3ce0b519e","source":{"kind":"arxiv","id":"2006.05131","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.05131","created_at":"2026-07-05T05:18:22Z"},{"alias_kind":"arxiv_version","alias_value":"2006.05131v3","created_at":"2026-07-05T05:18:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.05131","created_at":"2026-07-05T05:18:22Z"},{"alias_kind":"pith_short_12","alias_value":"YRNW2D56UVE7","created_at":"2026-07-05T05:18:22Z"},{"alias_kind":"pith_short_16","alias_value":"YRNW2D56UVE77CQR","created_at":"2026-07-05T05:18:22Z"},{"alias_kind":"pith_short_8","alias_value":"YRNW2D56","created_at":"2026-07-05T05:18:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:YRNW2D56UVE77CQR24QD4ZUREY","target":"record","payload":{"canonical_record":{"source":{"id":"2006.05131","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-09T09:03:00Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"c3ae41e555f52059a61561de93406f5ba73eb3f24a8e7b21d3f7700c86bc0004","abstract_canon_sha256":"e1d0a95a4a110e12404fb2e2b7cbd2ee2b4e02815fec76fbdb36546ccd72976f"},"schema_version":"1.0"},"canonical_sha256":"c45b6d0fbea549ff8a11d7203e6691260daa069e294c935e19b0b7e3ce0b519e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:18:22.067008Z","signature_b64":"n4hSHMANNN9aCdcHC2c/ayD4RuZOAagsKQVrGYNoKZO09WPlOWPAOP7cABqjaRrbbw6tR/XU0rG05uph1s6yAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c45b6d0fbea549ff8a11d7203e6691260daa069e294c935e19b0b7e3ce0b519e","last_reissued_at":"2026-07-05T05:18:22.066538Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:18:22.066538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.05131","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":"2026-07-05T05:18:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fO5fJx5AzAJJstI5D5XvFBKKhgMWKwEFAhTvqL4JF+tMfXz6XfqYjzT6vjIUo7NtFBoJWzwuCfGgKImsLe8mCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T04:32:58.966309Z"},"content_sha256":"a9e15a53e257d5d2adf713228a67a8cf8ee8741c6101a59caed10eb6c07552f0","schema_version":"1.0","event_id":"sha256:a9e15a53e257d5d2adf713228a67a8cf8ee8741c6101a59caed10eb6c07552f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:YRNW2D56UVE77CQR24QD4ZUREY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resurgence and renormalons in the one-dimensional Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Marcos Marino, Tomas Reis","submitted_at":"2020-06-09T09:03:00Z","abstract_excerpt":"We use resurgent analysis to study non-perturbative aspects of the one-dimensional, multicomponent Hubbard model with an attractive interaction and arbitrary filling. In the two-component case, we show that the leading Borel singularity of the perturbative series for the ground-state energy is determined by the energy gap, as expected for superconducting systems. This singularity turns out to be of the renormalon type, and we identify a class of diagrams leading to the correct factorial growth. As a consequence of our analysis, we propose an explicit expression for the energy gap at weak coupl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.05131","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.05131/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":"2026-07-05T05:18:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CWDJjvCJsjcyZ1y4lsU99YDXQK8OBM8bBO6xNJIufmYxduRHfuQps7xLivXLYUteGX+UAyCzcbeLchhJi0AZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T04:32:58.966827Z"},"content_sha256":"1a2c6b0d44f8f28573b63db2a90c892147dd79395b8b1c092b590b0cd89ef2e5","schema_version":"1.0","event_id":"sha256:1a2c6b0d44f8f28573b63db2a90c892147dd79395b8b1c092b590b0cd89ef2e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YRNW2D56UVE77CQR24QD4ZUREY/bundle.json","state_url":"https://pith.science/pith/YRNW2D56UVE77CQR24QD4ZUREY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YRNW2D56UVE77CQR24QD4ZUREY/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":"2026-08-11T04:32:58Z","links":{"resolver":"https://pith.science/pith/YRNW2D56UVE77CQR24QD4ZUREY","bundle":"https://pith.science/pith/YRNW2D56UVE77CQR24QD4ZUREY/bundle.json","state":"https://pith.science/pith/YRNW2D56UVE77CQR24QD4ZUREY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YRNW2D56UVE77CQR24QD4ZUREY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:YRNW2D56UVE77CQR24QD4ZUREY","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":"e1d0a95a4a110e12404fb2e2b7cbd2ee2b4e02815fec76fbdb36546ccd72976f","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-09T09:03:00Z","title_canon_sha256":"c3ae41e555f52059a61561de93406f5ba73eb3f24a8e7b21d3f7700c86bc0004"},"schema_version":"1.0","source":{"id":"2006.05131","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.05131","created_at":"2026-07-05T05:18:22Z"},{"alias_kind":"arxiv_version","alias_value":"2006.05131v3","created_at":"2026-07-05T05:18:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.05131","created_at":"2026-07-05T05:18:22Z"},{"alias_kind":"pith_short_12","alias_value":"YRNW2D56UVE7","created_at":"2026-07-05T05:18:22Z"},{"alias_kind":"pith_short_16","alias_value":"YRNW2D56UVE77CQR","created_at":"2026-07-05T05:18:22Z"},{"alias_kind":"pith_short_8","alias_value":"YRNW2D56","created_at":"2026-07-05T05:18:22Z"}],"graph_snapshots":[{"event_id":"sha256:1a2c6b0d44f8f28573b63db2a90c892147dd79395b8b1c092b590b0cd89ef2e5","target":"graph","created_at":"2026-07-05T05:18:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.05131/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use resurgent analysis to study non-perturbative aspects of the one-dimensional, multicomponent Hubbard model with an attractive interaction and arbitrary filling. In the two-component case, we show that the leading Borel singularity of the perturbative series for the ground-state energy is determined by the energy gap, as expected for superconducting systems. This singularity turns out to be of the renormalon type, and we identify a class of diagrams leading to the correct factorial growth. As a consequence of our analysis, we propose an explicit expression for the energy gap at weak coupl","authors_text":"Marcos Marino, Tomas Reis","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-09T09:03:00Z","title":"Resurgence and renormalons in the one-dimensional Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.05131","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:a9e15a53e257d5d2adf713228a67a8cf8ee8741c6101a59caed10eb6c07552f0","target":"record","created_at":"2026-07-05T05:18:22Z","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":"e1d0a95a4a110e12404fb2e2b7cbd2ee2b4e02815fec76fbdb36546ccd72976f","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-09T09:03:00Z","title_canon_sha256":"c3ae41e555f52059a61561de93406f5ba73eb3f24a8e7b21d3f7700c86bc0004"},"schema_version":"1.0","source":{"id":"2006.05131","kind":"arxiv","version":3}},"canonical_sha256":"c45b6d0fbea549ff8a11d7203e6691260daa069e294c935e19b0b7e3ce0b519e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c45b6d0fbea549ff8a11d7203e6691260daa069e294c935e19b0b7e3ce0b519e","first_computed_at":"2026-07-05T05:18:22.066538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:18:22.066538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n4hSHMANNN9aCdcHC2c/ayD4RuZOAagsKQVrGYNoKZO09WPlOWPAOP7cABqjaRrbbw6tR/XU0rG05uph1s6yAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:18:22.067008Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.05131","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9e15a53e257d5d2adf713228a67a8cf8ee8741c6101a59caed10eb6c07552f0","sha256:1a2c6b0d44f8f28573b63db2a90c892147dd79395b8b1c092b590b0cd89ef2e5"],"state_sha256":"093e04b0ad25748d16219215d23d142b323e1c660086d755f39f43eb0cb2f176"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KTIo3dsZb21G66rHoiP0n5YN8XDlf7FVbGtxHNnDFhwhsEgg30ZbrDxbecNrMMV9gRKTWq4phs8czQ6uK66XDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T04:32:58.970398Z","bundle_sha256":"7fea6890eb75e0e6f6376579adeb522ab844b83c5d31d2086af19293ef91b37f"}}