{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:Y63JUVPMGHPGWUTQPOIWOMU6JN","short_pith_number":"pith:Y63JUVPM","canonical_record":{"source":{"id":"1811.12428","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-11-29T19:00:32Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el"],"title_canon_sha256":"1ec564c727b5f686072c1c93df71e5e723dbae27f6d5fd5fda690c1ad0103770","abstract_canon_sha256":"c54797d365742680e1774348550cf6119ed22998901a437e88492fe72d2ed330"},"schema_version":"1.0"},"canonical_sha256":"c7b69a55ec31de6b52707b9167329e4b71d7be5d28a7553acc557b0d09da5aa5","source":{"kind":"arxiv","id":"1811.12428","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.12428","created_at":"2026-07-05T00:05:51Z"},{"alias_kind":"arxiv_version","alias_value":"1811.12428v3","created_at":"2026-07-05T00:05:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.12428","created_at":"2026-07-05T00:05:51Z"},{"alias_kind":"pith_short_12","alias_value":"Y63JUVPMGHPG","created_at":"2026-07-05T00:05:51Z"},{"alias_kind":"pith_short_16","alias_value":"Y63JUVPMGHPGWUTQ","created_at":"2026-07-05T00:05:51Z"},{"alias_kind":"pith_short_8","alias_value":"Y63JUVPM","created_at":"2026-07-05T00:05:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:Y63JUVPMGHPGWUTQPOIWOMU6JN","target":"record","payload":{"canonical_record":{"source":{"id":"1811.12428","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-11-29T19:00:32Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el"],"title_canon_sha256":"1ec564c727b5f686072c1c93df71e5e723dbae27f6d5fd5fda690c1ad0103770","abstract_canon_sha256":"c54797d365742680e1774348550cf6119ed22998901a437e88492fe72d2ed330"},"schema_version":"1.0"},"canonical_sha256":"c7b69a55ec31de6b52707b9167329e4b71d7be5d28a7553acc557b0d09da5aa5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:05:51.924012Z","signature_b64":"mkGS9CR7mvP59XsFAmFlYVS55wMNs/jw8jzPKtBdBHa1Gtf5q+HSv19z7EFd3LoYANiOcmFmxpZhYoSVQiDBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7b69a55ec31de6b52707b9167329e4b71d7be5d28a7553acc557b0d09da5aa5","last_reissued_at":"2026-07-05T00:05:51.923533Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:05:51.923533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.12428","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":"2026-07-05T00:05:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GqwxM44ea0zy1Za18B/FDmCyYg4EhT/lf3nNrNx3WAMdf5HAhEeyuuH47GVoJqqAen8yItIPOQQLpcz3G0O4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T15:00:22.536624Z"},"content_sha256":"8b95ca19332f1580bbf4f97e2f76e87f432229b1eea0687c321cee054abd6607","schema_version":"1.0","event_id":"sha256:8b95ca19332f1580bbf4f97e2f76e87f432229b1eea0687c321cee054abd6607"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:Y63JUVPMGHPGWUTQPOIWOMU6JN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Upper bounds on the superfluid stiffness and superconducting $T_c$: Applications to twisted-bilayer graphene and ultra-cold Fermi gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el"],"primary_cat":"cond-mat.supr-con","authors_text":"Mohit Randeria, Nishchhal Verma, Tamaghna Hazra","submitted_at":"2018-11-29T19:00:32Z","abstract_excerpt":"Understanding the material parameters that control the superconducting transition temperature $T_c$ is a problem of fundamental importance. In many novel superconductors, phase fluctuations determine $T_c$, rather than the collapse of the pairing amplitude. We derive rigorous upper bounds on the superfluid phase stiffness for multi-band systems, valid in any dimension. This in turn leads to an upper bound on $T_c$ in two dimensions (2D), which holds irrespective of pairing mechanism, interaction strength, or order-parameter symmetry. Our bound is particularly useful for the strongly correlated"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.12428","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/1811.12428/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":"2026-07-05T00:05:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5X5SB05nlF8gjWxfWAAYm4vIzI9bBDO1X4YhZU5/kgoDEwDjTx2O/QTF07nA4bXnXjLVLA1UlV0nW9JKRW8UBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T15:00:22.537395Z"},"content_sha256":"82d1c241e934616c2a8f925b1683278a512819786b25c629c963aaa00faf4721","schema_version":"1.0","event_id":"sha256:82d1c241e934616c2a8f925b1683278a512819786b25c629c963aaa00faf4721"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y63JUVPMGHPGWUTQPOIWOMU6JN/bundle.json","state_url":"https://pith.science/pith/Y63JUVPMGHPGWUTQPOIWOMU6JN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y63JUVPMGHPGWUTQPOIWOMU6JN/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":"2026-08-17T15:00:22Z","links":{"resolver":"https://pith.science/pith/Y63JUVPMGHPGWUTQPOIWOMU6JN","bundle":"https://pith.science/pith/Y63JUVPMGHPGWUTQPOIWOMU6JN/bundle.json","state":"https://pith.science/pith/Y63JUVPMGHPGWUTQPOIWOMU6JN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y63JUVPMGHPGWUTQPOIWOMU6JN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Y63JUVPMGHPGWUTQPOIWOMU6JN","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":"c54797d365742680e1774348550cf6119ed22998901a437e88492fe72d2ed330","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-11-29T19:00:32Z","title_canon_sha256":"1ec564c727b5f686072c1c93df71e5e723dbae27f6d5fd5fda690c1ad0103770"},"schema_version":"1.0","source":{"id":"1811.12428","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.12428","created_at":"2026-07-05T00:05:51Z"},{"alias_kind":"arxiv_version","alias_value":"1811.12428v3","created_at":"2026-07-05T00:05:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.12428","created_at":"2026-07-05T00:05:51Z"},{"alias_kind":"pith_short_12","alias_value":"Y63JUVPMGHPG","created_at":"2026-07-05T00:05:51Z"},{"alias_kind":"pith_short_16","alias_value":"Y63JUVPMGHPGWUTQ","created_at":"2026-07-05T00:05:51Z"},{"alias_kind":"pith_short_8","alias_value":"Y63JUVPM","created_at":"2026-07-05T00:05:51Z"}],"graph_snapshots":[{"event_id":"sha256:82d1c241e934616c2a8f925b1683278a512819786b25c629c963aaa00faf4721","target":"graph","created_at":"2026-07-05T00:05:51Z","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/1811.12428/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Understanding the material parameters that control the superconducting transition temperature $T_c$ is a problem of fundamental importance. In many novel superconductors, phase fluctuations determine $T_c$, rather than the collapse of the pairing amplitude. We derive rigorous upper bounds on the superfluid phase stiffness for multi-band systems, valid in any dimension. This in turn leads to an upper bound on $T_c$ in two dimensions (2D), which holds irrespective of pairing mechanism, interaction strength, or order-parameter symmetry. Our bound is particularly useful for the strongly correlated","authors_text":"Mohit Randeria, Nishchhal Verma, Tamaghna Hazra","cross_cats":["cond-mat.quant-gas","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-11-29T19:00:32Z","title":"Upper bounds on the superfluid stiffness and superconducting $T_c$: Applications to twisted-bilayer graphene and ultra-cold Fermi gases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.12428","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":"sha256:8b95ca19332f1580bbf4f97e2f76e87f432229b1eea0687c321cee054abd6607","target":"record","created_at":"2026-07-05T00:05:51Z","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":"c54797d365742680e1774348550cf6119ed22998901a437e88492fe72d2ed330","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-11-29T19:00:32Z","title_canon_sha256":"1ec564c727b5f686072c1c93df71e5e723dbae27f6d5fd5fda690c1ad0103770"},"schema_version":"1.0","source":{"id":"1811.12428","kind":"arxiv","version":3}},"canonical_sha256":"c7b69a55ec31de6b52707b9167329e4b71d7be5d28a7553acc557b0d09da5aa5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7b69a55ec31de6b52707b9167329e4b71d7be5d28a7553acc557b0d09da5aa5","first_computed_at":"2026-07-05T00:05:51.923533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:05:51.923533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mkGS9CR7mvP59XsFAmFlYVS55wMNs/jw8jzPKtBdBHa1Gtf5q+HSv19z7EFd3LoYANiOcmFmxpZhYoSVQiDBCg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:05:51.924012Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.12428","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b95ca19332f1580bbf4f97e2f76e87f432229b1eea0687c321cee054abd6607","sha256:82d1c241e934616c2a8f925b1683278a512819786b25c629c963aaa00faf4721"],"state_sha256":"f7e978b64806dfcfa283bc9f3702093d7b816cc20fe02bdd7c79722762ee3093"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F88ElHYE11wNHZEbyla4tbHCN8ETHfE3sqcrh3d3gFSszmsdpfRqKFjaXctpxQ+wCACcrqk73kQ7WTr/ZGatBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T15:00:22.542264Z","bundle_sha256":"59a014f473d7ba3d6f0a065c9ff78c0898dada9a4dfc9c31abf9215853133a97"}}