{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:TZ3CCLCAXCGE2FFBKKMJ7YUG67","short_pith_number":"pith:TZ3CCLCA","canonical_record":{"source":{"id":"1109.1622","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-08T04:00:06Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"d98125c34e829db6bcfc96156d8a4a5accedeaf96fc73fb48dc7a9d506fb608c","abstract_canon_sha256":"cbe28e45ba46cce55b51016ce7318c4e6e24f2c99a8cf628c87e39856d93c43b"},"schema_version":"1.0"},"canonical_sha256":"9e76212c40b88c4d14a152989fe286f7d799566b2c3b923585d6e3022f94dba1","source":{"kind":"arxiv","id":"1109.1622","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1622","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1622v3","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1622","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"pith_short_12","alias_value":"TZ3CCLCAXCGE","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TZ3CCLCAXCGE2FFB","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TZ3CCLCA","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:TZ3CCLCAXCGE2FFBKKMJ7YUG67","target":"record","payload":{"canonical_record":{"source":{"id":"1109.1622","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-08T04:00:06Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"d98125c34e829db6bcfc96156d8a4a5accedeaf96fc73fb48dc7a9d506fb608c","abstract_canon_sha256":"cbe28e45ba46cce55b51016ce7318c4e6e24f2c99a8cf628c87e39856d93c43b"},"schema_version":"1.0"},"canonical_sha256":"9e76212c40b88c4d14a152989fe286f7d799566b2c3b923585d6e3022f94dba1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:38.071658Z","signature_b64":"0hMBIZW9FpiG5d0rRfAQCnJwRyMIDhPKG+17w9+XY29prt7a+iGwDZS7HD7wCHV3zaXpCIpg9D048KDlR3u1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e76212c40b88c4d14a152989fe286f7d799566b2c3b923585d6e3022f94dba1","last_reissued_at":"2026-05-18T02:00:38.070920Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:38.070920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.1622","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":"2026-05-18T02:00:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Al+VKq73BGVUjElTzrtcaIvbKcK9Db1BOGHfJSSuGa9OfjiZK9dVCIdr9SzdDizDqtewCDeXfu/vaapQRMzeCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:16:56.626580Z"},"content_sha256":"93885f4160ab775e9ae4c3bd9868429faa472725948aa9439f03b31c5e1e71cd","schema_version":"1.0","event_id":"sha256:93885f4160ab775e9ae4c3bd9868429faa472725948aa9439f03b31c5e1e71cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:TZ3CCLCAXCGE2FFBKKMJ7YUG67","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gapless inhomogeneous superfluid phase with spin-dependent disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.dis-nn","authors_text":"G. G. Batrouni, M. Jiang, N. Trivedi, R. Nanguneri, R. T. Scalettar","submitted_at":"2011-09-08T04:00:06Z","abstract_excerpt":"We show that the presence of a spin-dependent random potential in a superconductor or a superfluid atomic gas leads to distinct transitions at which the energy gap and average order parameter vanish, generating an intermediate gapless superfluid phase, in marked contrast to the case of spin-symmetric randomness where no such gapless superfluid phase is seen. By allowing the pairing amplitude to become inhomogeneous, the gapless superconducting phase persists to considerably higher disorder compared with the prediction of Abrikosov-Gorkov. The low-lying excited states are located predominantly "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1622","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":"2026-05-18T02:00:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RFfD+1MeeedzfM+QnV7gpGXCU1mmRCdOcK09dc7LD9AkEFzFglv5T4dd4IfkDWSmHkPbGk7MSqS43cV1V5s5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:16:56.627154Z"},"content_sha256":"e6a0b2248f1c38b679834855d9d07e06e86ef7422bb90bd9bd9b2ccd093adabe","schema_version":"1.0","event_id":"sha256:e6a0b2248f1c38b679834855d9d07e06e86ef7422bb90bd9bd9b2ccd093adabe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TZ3CCLCAXCGE2FFBKKMJ7YUG67/bundle.json","state_url":"https://pith.science/pith/TZ3CCLCAXCGE2FFBKKMJ7YUG67/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TZ3CCLCAXCGE2FFBKKMJ7YUG67/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":"2026-05-26T21:16:56Z","links":{"resolver":"https://pith.science/pith/TZ3CCLCAXCGE2FFBKKMJ7YUG67","bundle":"https://pith.science/pith/TZ3CCLCAXCGE2FFBKKMJ7YUG67/bundle.json","state":"https://pith.science/pith/TZ3CCLCAXCGE2FFBKKMJ7YUG67/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TZ3CCLCAXCGE2FFBKKMJ7YUG67/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TZ3CCLCAXCGE2FFBKKMJ7YUG67","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":"cbe28e45ba46cce55b51016ce7318c4e6e24f2c99a8cf628c87e39856d93c43b","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-08T04:00:06Z","title_canon_sha256":"d98125c34e829db6bcfc96156d8a4a5accedeaf96fc73fb48dc7a9d506fb608c"},"schema_version":"1.0","source":{"id":"1109.1622","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1622","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1622v3","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1622","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"pith_short_12","alias_value":"TZ3CCLCAXCGE","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TZ3CCLCAXCGE2FFB","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TZ3CCLCA","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:e6a0b2248f1c38b679834855d9d07e06e86ef7422bb90bd9bd9b2ccd093adabe","target":"graph","created_at":"2026-05-18T02:00:38Z","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 show that the presence of a spin-dependent random potential in a superconductor or a superfluid atomic gas leads to distinct transitions at which the energy gap and average order parameter vanish, generating an intermediate gapless superfluid phase, in marked contrast to the case of spin-symmetric randomness where no such gapless superfluid phase is seen. By allowing the pairing amplitude to become inhomogeneous, the gapless superconducting phase persists to considerably higher disorder compared with the prediction of Abrikosov-Gorkov. The low-lying excited states are located predominantly ","authors_text":"G. G. Batrouni, M. Jiang, N. Trivedi, R. Nanguneri, R. T. Scalettar","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-08T04:00:06Z","title":"Gapless inhomogeneous superfluid phase with spin-dependent disorder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1622","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":"sha256:93885f4160ab775e9ae4c3bd9868429faa472725948aa9439f03b31c5e1e71cd","target":"record","created_at":"2026-05-18T02:00:38Z","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":"cbe28e45ba46cce55b51016ce7318c4e6e24f2c99a8cf628c87e39856d93c43b","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-08T04:00:06Z","title_canon_sha256":"d98125c34e829db6bcfc96156d8a4a5accedeaf96fc73fb48dc7a9d506fb608c"},"schema_version":"1.0","source":{"id":"1109.1622","kind":"arxiv","version":3}},"canonical_sha256":"9e76212c40b88c4d14a152989fe286f7d799566b2c3b923585d6e3022f94dba1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e76212c40b88c4d14a152989fe286f7d799566b2c3b923585d6e3022f94dba1","first_computed_at":"2026-05-18T02:00:38.070920Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:38.070920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0hMBIZW9FpiG5d0rRfAQCnJwRyMIDhPKG+17w9+XY29prt7a+iGwDZS7HD7wCHV3zaXpCIpg9D048KDlR3u1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:38.071658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.1622","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93885f4160ab775e9ae4c3bd9868429faa472725948aa9439f03b31c5e1e71cd","sha256:e6a0b2248f1c38b679834855d9d07e06e86ef7422bb90bd9bd9b2ccd093adabe"],"state_sha256":"850c8e6809825a55fa0b8841ba0c8889699ef3a89c8654f29633a387926f530f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vfpqiHI+SDrA0Em27RGUBn32Ta/IeFoZ67B0OQENQgqAUQFkmaYEcoxbEQgnm87s65y4ob3CBjS0X2wTQxYTDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:16:56.630626Z","bundle_sha256":"a2ef205237f4a7dcb2b55d7b5e97b22a1ad63d88de3f3f047aca83368f32d438"}}