{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:QOYDBKF2MDR3WQRCFT2JQREGR2","short_pith_number":"pith:QOYDBKF2","canonical_record":{"source":{"id":"2308.01964","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-08-03T18:00:04Z","cross_cats_sorted":["cond-mat.other","cond-mat.quant-gas","hep-th","quant-ph"],"title_canon_sha256":"eba14664bcda1fd4277b3df979fa7c90f409a22d0699eda64ed81a853326b43c","abstract_canon_sha256":"d4d65f0014e4459cd376bdb0df712b22aa9ca8d564633838ec78aff5c550be93"},"schema_version":"1.0"},"canonical_sha256":"83b030a8ba60e3bb42222cf49844868e9669ba4cbd6d322122e7ca0f04b0eb04","source":{"kind":"arxiv","id":"2308.01964","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.01964","created_at":"2026-07-05T06:37:35Z"},{"alias_kind":"arxiv_version","alias_value":"2308.01964v1","created_at":"2026-07-05T06:37:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.01964","created_at":"2026-07-05T06:37:35Z"},{"alias_kind":"pith_short_12","alias_value":"QOYDBKF2MDR3","created_at":"2026-07-05T06:37:35Z"},{"alias_kind":"pith_short_16","alias_value":"QOYDBKF2MDR3WQRC","created_at":"2026-07-05T06:37:35Z"},{"alias_kind":"pith_short_8","alias_value":"QOYDBKF2","created_at":"2026-07-05T06:37:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:QOYDBKF2MDR3WQRCFT2JQREGR2","target":"record","payload":{"canonical_record":{"source":{"id":"2308.01964","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-08-03T18:00:04Z","cross_cats_sorted":["cond-mat.other","cond-mat.quant-gas","hep-th","quant-ph"],"title_canon_sha256":"eba14664bcda1fd4277b3df979fa7c90f409a22d0699eda64ed81a853326b43c","abstract_canon_sha256":"d4d65f0014e4459cd376bdb0df712b22aa9ca8d564633838ec78aff5c550be93"},"schema_version":"1.0"},"canonical_sha256":"83b030a8ba60e3bb42222cf49844868e9669ba4cbd6d322122e7ca0f04b0eb04","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:37:35.725913Z","signature_b64":"Es+9xQDsA2McH0SCNIN566M72empVchhvZXX/ZyTUnBNKNM/v8MmViijWxmSiwKRHgrHeq0pJrzHLTjeOnRWCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83b030a8ba60e3bb42222cf49844868e9669ba4cbd6d322122e7ca0f04b0eb04","last_reissued_at":"2026-07-05T06:37:35.725444Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:37:35.725444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2308.01964","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":"2026-07-05T06:37:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HGIQ8T7R5DbB+JroG7Y78CrPEdxX1LrRPrbuJbQcJP38T2nDCxoJlopmGnDBy1DIzWzPxdBeN3C1hBl0sCTjAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T06:49:24.418285Z"},"content_sha256":"a2f6396484993f9e9e06c589e87f22dd8332491d195438b2d14dd36ec9def858","schema_version":"1.0","event_id":"sha256:a2f6396484993f9e9e06c589e87f22dd8332491d195438b2d14dd36ec9def858"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:QOYDBKF2MDR3WQRCFT2JQREGR2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Signature of Criticality in Angular Momentum Resolved Entanglement of Scalar Fields in $d>1$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","cond-mat.quant-gas","hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Mrinal Kanti Sarkar, Rajdeep Sensarma, Saranyo Moitra","submitted_at":"2023-08-03T18:00:04Z","abstract_excerpt":"The scaling of entanglement entropy with subsystem size fails to distinguish between gapped and gapless ground state of a scalar field theory in $d>1$ dimensions. We show that the scaling of angular momentum resolved entanglement entropy $S_\\ell$ with the subsystem radius $R$ can clearly distinguish between these states. For a massless theory with momentum cut-off $\\Lambda$, $S_\\ell \\sim \\ln [\\Lambda R/\\ell]$ for $\\Lambda R \\gg \\ell$, while $S_\\ell \\sim R^0$ for the massive theory. In contrast, for a free Fermi gas with Fermi wave vector $k_F$, $S_\\ell \\sim \\ln [k_F R]$ for $k_F R \\gg \\ell$. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.01964","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/2308.01964/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":"2026-07-05T06:37:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HT38Uc9FWcoNF1Bx0QOC8Mqo8k08qTadwocu7qRdBruJcNdByRpbbgwT0xYHzHNH+foBMEGgq0IKWYK3Edy2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T06:49:24.418785Z"},"content_sha256":"3eaed0ca5132bac064a90a721d445fb4398911e7ce8d30e8a923b09842586890","schema_version":"1.0","event_id":"sha256:3eaed0ca5132bac064a90a721d445fb4398911e7ce8d30e8a923b09842586890"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QOYDBKF2MDR3WQRCFT2JQREGR2/bundle.json","state_url":"https://pith.science/pith/QOYDBKF2MDR3WQRCFT2JQREGR2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QOYDBKF2MDR3WQRCFT2JQREGR2/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":"2026-08-11T06:49:24Z","links":{"resolver":"https://pith.science/pith/QOYDBKF2MDR3WQRCFT2JQREGR2","bundle":"https://pith.science/pith/QOYDBKF2MDR3WQRCFT2JQREGR2/bundle.json","state":"https://pith.science/pith/QOYDBKF2MDR3WQRCFT2JQREGR2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QOYDBKF2MDR3WQRCFT2JQREGR2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QOYDBKF2MDR3WQRCFT2JQREGR2","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":"d4d65f0014e4459cd376bdb0df712b22aa9ca8d564633838ec78aff5c550be93","cross_cats_sorted":["cond-mat.other","cond-mat.quant-gas","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-08-03T18:00:04Z","title_canon_sha256":"eba14664bcda1fd4277b3df979fa7c90f409a22d0699eda64ed81a853326b43c"},"schema_version":"1.0","source":{"id":"2308.01964","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.01964","created_at":"2026-07-05T06:37:35Z"},{"alias_kind":"arxiv_version","alias_value":"2308.01964v1","created_at":"2026-07-05T06:37:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.01964","created_at":"2026-07-05T06:37:35Z"},{"alias_kind":"pith_short_12","alias_value":"QOYDBKF2MDR3","created_at":"2026-07-05T06:37:35Z"},{"alias_kind":"pith_short_16","alias_value":"QOYDBKF2MDR3WQRC","created_at":"2026-07-05T06:37:35Z"},{"alias_kind":"pith_short_8","alias_value":"QOYDBKF2","created_at":"2026-07-05T06:37:35Z"}],"graph_snapshots":[{"event_id":"sha256:3eaed0ca5132bac064a90a721d445fb4398911e7ce8d30e8a923b09842586890","target":"graph","created_at":"2026-07-05T06:37:35Z","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/2308.01964/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The scaling of entanglement entropy with subsystem size fails to distinguish between gapped and gapless ground state of a scalar field theory in $d>1$ dimensions. We show that the scaling of angular momentum resolved entanglement entropy $S_\\ell$ with the subsystem radius $R$ can clearly distinguish between these states. For a massless theory with momentum cut-off $\\Lambda$, $S_\\ell \\sim \\ln [\\Lambda R/\\ell]$ for $\\Lambda R \\gg \\ell$, while $S_\\ell \\sim R^0$ for the massive theory. In contrast, for a free Fermi gas with Fermi wave vector $k_F$, $S_\\ell \\sim \\ln [k_F R]$ for $k_F R \\gg \\ell$. W","authors_text":"Mrinal Kanti Sarkar, Rajdeep Sensarma, Saranyo Moitra","cross_cats":["cond-mat.other","cond-mat.quant-gas","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-08-03T18:00:04Z","title":"Signature of Criticality in Angular Momentum Resolved Entanglement of Scalar Fields in $d>1$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.01964","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:a2f6396484993f9e9e06c589e87f22dd8332491d195438b2d14dd36ec9def858","target":"record","created_at":"2026-07-05T06:37:35Z","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":"d4d65f0014e4459cd376bdb0df712b22aa9ca8d564633838ec78aff5c550be93","cross_cats_sorted":["cond-mat.other","cond-mat.quant-gas","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-08-03T18:00:04Z","title_canon_sha256":"eba14664bcda1fd4277b3df979fa7c90f409a22d0699eda64ed81a853326b43c"},"schema_version":"1.0","source":{"id":"2308.01964","kind":"arxiv","version":1}},"canonical_sha256":"83b030a8ba60e3bb42222cf49844868e9669ba4cbd6d322122e7ca0f04b0eb04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83b030a8ba60e3bb42222cf49844868e9669ba4cbd6d322122e7ca0f04b0eb04","first_computed_at":"2026-07-05T06:37:35.725444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:37:35.725444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Es+9xQDsA2McH0SCNIN566M72empVchhvZXX/ZyTUnBNKNM/v8MmViijWxmSiwKRHgrHeq0pJrzHLTjeOnRWCw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:37:35.725913Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.01964","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2f6396484993f9e9e06c589e87f22dd8332491d195438b2d14dd36ec9def858","sha256:3eaed0ca5132bac064a90a721d445fb4398911e7ce8d30e8a923b09842586890"],"state_sha256":"9c4cbeb4cea0c81795e2cc1079da6a3b21fed3b8c6e215b886605c3c09bd1c9c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HIYkO2nLaMprj71vIKISAkN1Fnu23oxXTZsy5rYVSF5wwETkdhXF7B988eOvwDjt8xXhTDJg529mnQ8ci/xjAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T06:49:24.422921Z","bundle_sha256":"d0bcbbaaaaea696b9d35961454c3887311447262f9539ef99f3226266afbf1ed"}}