{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:VRIIQHCWC5GEXUTIGKMAJCIUDF","short_pith_number":"pith:VRIIQHCW","canonical_record":{"source":{"id":"2403.18617","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-03-27T14:32:03Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"7badaaaf1d193a021185f66946a414684ae88aba8d4c28ab5da75f263fa37bc5","abstract_canon_sha256":"228c767e1f842960aea0466e9a747901c4bfe50d34de775c59f8bc89d2ca1da0"},"schema_version":"1.0"},"canonical_sha256":"ac50881c56174c4bd268329804891419564ad3f1b633c9713d00a5e8e8da67c9","source":{"kind":"arxiv","id":"2403.18617","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.18617","created_at":"2026-07-05T11:21:31Z"},{"alias_kind":"arxiv_version","alias_value":"2403.18617v2","created_at":"2026-07-05T11:21:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.18617","created_at":"2026-07-05T11:21:31Z"},{"alias_kind":"pith_short_12","alias_value":"VRIIQHCWC5GE","created_at":"2026-07-05T11:21:31Z"},{"alias_kind":"pith_short_16","alias_value":"VRIIQHCWC5GEXUTI","created_at":"2026-07-05T11:21:31Z"},{"alias_kind":"pith_short_8","alias_value":"VRIIQHCW","created_at":"2026-07-05T11:21:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:VRIIQHCWC5GEXUTIGKMAJCIUDF","target":"record","payload":{"canonical_record":{"source":{"id":"2403.18617","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-03-27T14:32:03Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"7badaaaf1d193a021185f66946a414684ae88aba8d4c28ab5da75f263fa37bc5","abstract_canon_sha256":"228c767e1f842960aea0466e9a747901c4bfe50d34de775c59f8bc89d2ca1da0"},"schema_version":"1.0"},"canonical_sha256":"ac50881c56174c4bd268329804891419564ad3f1b633c9713d00a5e8e8da67c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:21:31.949908Z","signature_b64":"3uECfNa4NCZEHcYvR2ZVbyBtI9hUBxvzd5vgOdpMiyKSwvZvuhlFMKAJ59Q3zhEK8wLgFDVGIB0NlwtqEpZKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac50881c56174c4bd268329804891419564ad3f1b633c9713d00a5e8e8da67c9","last_reissued_at":"2026-07-05T11:21:31.949448Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:21:31.949448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.18617","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:21:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IIM+b2w1mzmS3IxV9kP88TDqNZAmmkIBdGjXFVwmFeMHdoHA79jDCqe2/S/kb9lA0HWOsbCVzU/R+YItoi9zDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:18:06.308265Z"},"content_sha256":"09e0f76891c6cff371f3a462b8742a269b5c17a21ce2c55fabebf66595fc0b2a","schema_version":"1.0","event_id":"sha256:09e0f76891c6cff371f3a462b8742a269b5c17a21ce2c55fabebf66595fc0b2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:VRIIQHCWC5GEXUTIGKMAJCIUDF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum concentration inequalities and equivalence of the thermodynamical ensembles: an optimal mass transport approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Davide Pastorello, Giacomo De Palma","submitted_at":"2024-03-27T14:32:03Z","abstract_excerpt":"We prove new concentration inequalities for quantum spin systems which apply to any local observable measured on any product state or on any state with exponentially decaying correlations. Our results do not require the spins to be arranged in a regular lattice, and cover the case of observables that contain terms acting on spins at arbitrary distance. Moreover, we introduce a local W1 distance, which quantifies the distinguishability of two states with respect to local observables. We prove a transportation-cost inequality stating that the local W1 distance between a generic state and a state"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.18617","kind":"arxiv","version":2},"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/2403.18617/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":"2026-07-05T11:21:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PTZ7nioXRVqrY3J6/71RKVlgeoHFA4NRa2bUZK988y77+Sd7zvyctzDSAKal5HVPVc1RvABemTwHjbkEQkTBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:18:06.310288Z"},"content_sha256":"48a3366bbe0c9e192628f3105e4b209fdde59ce26bb63316471d1bdb1056bef5","schema_version":"1.0","event_id":"sha256:48a3366bbe0c9e192628f3105e4b209fdde59ce26bb63316471d1bdb1056bef5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VRIIQHCWC5GEXUTIGKMAJCIUDF/bundle.json","state_url":"https://pith.science/pith/VRIIQHCWC5GEXUTIGKMAJCIUDF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VRIIQHCWC5GEXUTIGKMAJCIUDF/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":"2026-08-11T19:18:06Z","links":{"resolver":"https://pith.science/pith/VRIIQHCWC5GEXUTIGKMAJCIUDF","bundle":"https://pith.science/pith/VRIIQHCWC5GEXUTIGKMAJCIUDF/bundle.json","state":"https://pith.science/pith/VRIIQHCWC5GEXUTIGKMAJCIUDF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VRIIQHCWC5GEXUTIGKMAJCIUDF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VRIIQHCWC5GEXUTIGKMAJCIUDF","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":"228c767e1f842960aea0466e9a747901c4bfe50d34de775c59f8bc89d2ca1da0","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-03-27T14:32:03Z","title_canon_sha256":"7badaaaf1d193a021185f66946a414684ae88aba8d4c28ab5da75f263fa37bc5"},"schema_version":"1.0","source":{"id":"2403.18617","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.18617","created_at":"2026-07-05T11:21:31Z"},{"alias_kind":"arxiv_version","alias_value":"2403.18617v2","created_at":"2026-07-05T11:21:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.18617","created_at":"2026-07-05T11:21:31Z"},{"alias_kind":"pith_short_12","alias_value":"VRIIQHCWC5GE","created_at":"2026-07-05T11:21:31Z"},{"alias_kind":"pith_short_16","alias_value":"VRIIQHCWC5GEXUTI","created_at":"2026-07-05T11:21:31Z"},{"alias_kind":"pith_short_8","alias_value":"VRIIQHCW","created_at":"2026-07-05T11:21:31Z"}],"graph_snapshots":[{"event_id":"sha256:48a3366bbe0c9e192628f3105e4b209fdde59ce26bb63316471d1bdb1056bef5","target":"graph","created_at":"2026-07-05T11:21:31Z","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/2403.18617/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove new concentration inequalities for quantum spin systems which apply to any local observable measured on any product state or on any state with exponentially decaying correlations. Our results do not require the spins to be arranged in a regular lattice, and cover the case of observables that contain terms acting on spins at arbitrary distance. Moreover, we introduce a local W1 distance, which quantifies the distinguishability of two states with respect to local observables. We prove a transportation-cost inequality stating that the local W1 distance between a generic state and a state","authors_text":"Davide Pastorello, Giacomo De Palma","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-03-27T14:32:03Z","title":"Quantum concentration inequalities and equivalence of the thermodynamical ensembles: an optimal mass transport approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.18617","kind":"arxiv","version":2},"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":"sha256:09e0f76891c6cff371f3a462b8742a269b5c17a21ce2c55fabebf66595fc0b2a","target":"record","created_at":"2026-07-05T11:21:31Z","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":"228c767e1f842960aea0466e9a747901c4bfe50d34de775c59f8bc89d2ca1da0","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-03-27T14:32:03Z","title_canon_sha256":"7badaaaf1d193a021185f66946a414684ae88aba8d4c28ab5da75f263fa37bc5"},"schema_version":"1.0","source":{"id":"2403.18617","kind":"arxiv","version":2}},"canonical_sha256":"ac50881c56174c4bd268329804891419564ad3f1b633c9713d00a5e8e8da67c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac50881c56174c4bd268329804891419564ad3f1b633c9713d00a5e8e8da67c9","first_computed_at":"2026-07-05T11:21:31.949448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:21:31.949448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3uECfNa4NCZEHcYvR2ZVbyBtI9hUBxvzd5vgOdpMiyKSwvZvuhlFMKAJ59Q3zhEK8wLgFDVGIB0NlwtqEpZKBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:21:31.949908Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.18617","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09e0f76891c6cff371f3a462b8742a269b5c17a21ce2c55fabebf66595fc0b2a","sha256:48a3366bbe0c9e192628f3105e4b209fdde59ce26bb63316471d1bdb1056bef5"],"state_sha256":"107d52cc2c972327bce35c31f0b47c6b80046652c15ae7c02804037ff74fcc59"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sqK0b+GJpLsGAwhuFh5GHou1Q6tROF6syU2ga6gzMAVpfaZa1q+CPCLdA0VKJ8vW7gZHFSq8AZ1GyNWZ8ejVAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T19:18:06.337050Z","bundle_sha256":"925d98c4474e90d82df71cc0c11874a0a479809fd2bd9c08d50e383ae22a90d5"}}