{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:WWUXS7T5LX4JV4Q5MCVJ2EVPJL","short_pith_number":"pith:WWUXS7T5","canonical_record":{"source":{"id":"2508.19330","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-26T18:00:00Z","cross_cats_sorted":["cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"9d2f05a8d6b6260b791f9e9a5cc663040387cf2686465af77a0c166a7b89c8dc","abstract_canon_sha256":"684cf5210197cbe1020b1b152e2c0ce00756ec8b310246109e253914a6103e68"},"schema_version":"1.0"},"canonical_sha256":"b5a9797e7d5df89af21d60aa9d12af4af948aee86448855e050a07426974a613","source":{"kind":"arxiv","id":"2508.19330","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.19330","created_at":"2026-07-05T11:59:43Z"},{"alias_kind":"arxiv_version","alias_value":"2508.19330v1","created_at":"2026-07-05T11:59:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.19330","created_at":"2026-07-05T11:59:43Z"},{"alias_kind":"pith_short_12","alias_value":"WWUXS7T5LX4J","created_at":"2026-07-05T11:59:43Z"},{"alias_kind":"pith_short_16","alias_value":"WWUXS7T5LX4JV4Q5","created_at":"2026-07-05T11:59:43Z"},{"alias_kind":"pith_short_8","alias_value":"WWUXS7T5","created_at":"2026-07-05T11:59:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:WWUXS7T5LX4JV4Q5MCVJ2EVPJL","target":"record","payload":{"canonical_record":{"source":{"id":"2508.19330","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-26T18:00:00Z","cross_cats_sorted":["cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"9d2f05a8d6b6260b791f9e9a5cc663040387cf2686465af77a0c166a7b89c8dc","abstract_canon_sha256":"684cf5210197cbe1020b1b152e2c0ce00756ec8b310246109e253914a6103e68"},"schema_version":"1.0"},"canonical_sha256":"b5a9797e7d5df89af21d60aa9d12af4af948aee86448855e050a07426974a613","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:59:43.290091Z","signature_b64":"MP7zMPg9WyAqlv8KDuyG00CE3AwP7suS8X3WxYTkECkJeMje/NZtdOWgLHq2KgQqcUs5Cf3cJxIl8KlgYos7Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5a9797e7d5df89af21d60aa9d12af4af948aee86448855e050a07426974a613","last_reissued_at":"2026-07-05T11:59:43.289619Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:59:43.289619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.19330","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":"2026-07-05T11:59:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Iyg3jnB8R0xA06RMHffFeTNVlVyPTO5UeSeVi7DIRguEGUmVuWBKEX9ebPhl1crYif870K1zXsQN2bbp0GEvAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:23:43.061424Z"},"content_sha256":"1c019744e3e7ac72e24ee4479e5a9a33c8a91c1bb37748bd98d561f6b982aa81","schema_version":"1.0","event_id":"sha256:1c019744e3e7ac72e24ee4479e5a9a33c8a91c1bb37748bd98d561f6b982aa81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:WWUXS7T5LX4JV4Q5MCVJ2EVPJL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics in a split Hilbert space: Quantum impurity at the edge of a one-dimensional superconductor","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Abay Zhakenov, Natan Andrei, Pradip Kattel","submitted_at":"2025-08-26T18:00:00Z","abstract_excerpt":"We present a thermodynamic description of a single magnetic impurity at the edge of a superconducting wire. The impurity exhibits four phases $\\unicode{x2014}$ Kondo, Yu-Shiba-Rusinov (YSR) I and II, and local moment $\\unicode{x2014}$ a phase diagram richer than in the gapless case, contrary to the expectation that the effects of impurities in gapped hosts are less consequential. We derive the impurity contribution to free energy $F_{\\rm imp}(T)$ and entropy in each phase: in Kondo phase, the entropy flows monotonically from $\\ln 2$ (UV) to 0 (IR) with critical exponents same as that of the co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.19330","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.19330/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":"2026-07-05T11:59:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ip2ZGlIkFfEvohKYwNcoJLfJInOa9Mwp/wT9owuBJNOBjd+FTGje0SqJkYY7yrXuwysWiasrHR4y3rdSUaruDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:23:43.061948Z"},"content_sha256":"a44ed81f6bd48b63d6c5623c200098649e2b6936a8e7fcb9d7363a4dcc61143e","schema_version":"1.0","event_id":"sha256:a44ed81f6bd48b63d6c5623c200098649e2b6936a8e7fcb9d7363a4dcc61143e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WWUXS7T5LX4JV4Q5MCVJ2EVPJL/bundle.json","state_url":"https://pith.science/pith/WWUXS7T5LX4JV4Q5MCVJ2EVPJL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WWUXS7T5LX4JV4Q5MCVJ2EVPJL/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":"2026-08-09T17:23:43Z","links":{"resolver":"https://pith.science/pith/WWUXS7T5LX4JV4Q5MCVJ2EVPJL","bundle":"https://pith.science/pith/WWUXS7T5LX4JV4Q5MCVJ2EVPJL/bundle.json","state":"https://pith.science/pith/WWUXS7T5LX4JV4Q5MCVJ2EVPJL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WWUXS7T5LX4JV4Q5MCVJ2EVPJL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WWUXS7T5LX4JV4Q5MCVJ2EVPJL","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":"684cf5210197cbe1020b1b152e2c0ce00756ec8b310246109e253914a6103e68","cross_cats_sorted":["cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-26T18:00:00Z","title_canon_sha256":"9d2f05a8d6b6260b791f9e9a5cc663040387cf2686465af77a0c166a7b89c8dc"},"schema_version":"1.0","source":{"id":"2508.19330","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.19330","created_at":"2026-07-05T11:59:43Z"},{"alias_kind":"arxiv_version","alias_value":"2508.19330v1","created_at":"2026-07-05T11:59:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.19330","created_at":"2026-07-05T11:59:43Z"},{"alias_kind":"pith_short_12","alias_value":"WWUXS7T5LX4J","created_at":"2026-07-05T11:59:43Z"},{"alias_kind":"pith_short_16","alias_value":"WWUXS7T5LX4JV4Q5","created_at":"2026-07-05T11:59:43Z"},{"alias_kind":"pith_short_8","alias_value":"WWUXS7T5","created_at":"2026-07-05T11:59:43Z"}],"graph_snapshots":[{"event_id":"sha256:a44ed81f6bd48b63d6c5623c200098649e2b6936a8e7fcb9d7363a4dcc61143e","target":"graph","created_at":"2026-07-05T11:59:43Z","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/2508.19330/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a thermodynamic description of a single magnetic impurity at the edge of a superconducting wire. The impurity exhibits four phases $\\unicode{x2014}$ Kondo, Yu-Shiba-Rusinov (YSR) I and II, and local moment $\\unicode{x2014}$ a phase diagram richer than in the gapless case, contrary to the expectation that the effects of impurities in gapped hosts are less consequential. We derive the impurity contribution to free energy $F_{\\rm imp}(T)$ and entropy in each phase: in Kondo phase, the entropy flows monotonically from $\\ln 2$ (UV) to 0 (IR) with critical exponents same as that of the co","authors_text":"Abay Zhakenov, Natan Andrei, Pradip Kattel","cross_cats":["cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-26T18:00:00Z","title":"Thermodynamics in a split Hilbert space: Quantum impurity at the edge of a one-dimensional superconductor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.19330","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":"sha256:1c019744e3e7ac72e24ee4479e5a9a33c8a91c1bb37748bd98d561f6b982aa81","target":"record","created_at":"2026-07-05T11:59:43Z","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":"684cf5210197cbe1020b1b152e2c0ce00756ec8b310246109e253914a6103e68","cross_cats_sorted":["cond-mat.supr-con","hep-th","math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-26T18:00:00Z","title_canon_sha256":"9d2f05a8d6b6260b791f9e9a5cc663040387cf2686465af77a0c166a7b89c8dc"},"schema_version":"1.0","source":{"id":"2508.19330","kind":"arxiv","version":1}},"canonical_sha256":"b5a9797e7d5df89af21d60aa9d12af4af948aee86448855e050a07426974a613","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5a9797e7d5df89af21d60aa9d12af4af948aee86448855e050a07426974a613","first_computed_at":"2026-07-05T11:59:43.289619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:43.289619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MP7zMPg9WyAqlv8KDuyG00CE3AwP7suS8X3WxYTkECkJeMje/NZtdOWgLHq2KgQqcUs5Cf3cJxIl8KlgYos7Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:43.290091Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.19330","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c019744e3e7ac72e24ee4479e5a9a33c8a91c1bb37748bd98d561f6b982aa81","sha256:a44ed81f6bd48b63d6c5623c200098649e2b6936a8e7fcb9d7363a4dcc61143e"],"state_sha256":"08f2d1ec7ba5d3c1e54015db8d20de020eb877424c3b8ae06b28376b2678a660"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UO83TFk3rne3e2X9mg2nAqJqMIOFNoFY+Y1vg1l64dUcnDsC+RDcoJWbSQCl/ydw5+3Y3/8nL3TVNJ8H0mfXBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T17:23:43.066434Z","bundle_sha256":"0f20bcf357740c0c91da141e66fff3c0602e119f918a0d5f682975bd412ea796"}}