{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:L6X2KM3TPR4OT763LDHTBD24YX","short_pith_number":"pith:L6X2KM3T","canonical_record":{"source":{"id":"1304.4605","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-04-16T20:08:43Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"title_canon_sha256":"40afad113f6709ce294807fae9bc6e0b803b5e9783524e1048cafedfa89f81fe","abstract_canon_sha256":"a156a4caa662155286c88219c5da711971440e331a55ff007250c31047384425"},"schema_version":"1.0"},"canonical_sha256":"5fafa533737c78e9ffdb58cf308f5cc5cdcce5d3779c3b1457c698a7a8669ee2","source":{"kind":"arxiv","id":"1304.4605","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4605","created_at":"2026-05-18T03:19:25Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4605v3","created_at":"2026-05-18T03:19:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4605","created_at":"2026-05-18T03:19:25Z"},{"alias_kind":"pith_short_12","alias_value":"L6X2KM3TPR4O","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"L6X2KM3TPR4OT763","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"L6X2KM3T","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:L6X2KM3TPR4OT763LDHTBD24YX","target":"record","payload":{"canonical_record":{"source":{"id":"1304.4605","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-04-16T20:08:43Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"title_canon_sha256":"40afad113f6709ce294807fae9bc6e0b803b5e9783524e1048cafedfa89f81fe","abstract_canon_sha256":"a156a4caa662155286c88219c5da711971440e331a55ff007250c31047384425"},"schema_version":"1.0"},"canonical_sha256":"5fafa533737c78e9ffdb58cf308f5cc5cdcce5d3779c3b1457c698a7a8669ee2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:25.565939Z","signature_b64":"PmLSMIdz2MPC5sGQNyqZu2XkXWEokRKJFSyoxD2Q4Wt3o8CSdCbwU9PdDlH3WIcnuuTbSfb1t1/jsCb60YC+Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fafa533737c78e9ffdb58cf308f5cc5cdcce5d3779c3b1457c698a7a8669ee2","last_reissued_at":"2026-05-18T03:19:25.565294Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:25.565294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.4605","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":"2026-05-18T03:19:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1aAv4vbHDBvPLa2gBvhUQZ3pzaGEYeHRRe5QtSaAtorwFrcMRtEKxOIDIQxt/sFsZ+0bS/2zOyX+/EM1rHg+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:48:49.647788Z"},"content_sha256":"1086d14407543b934f5313b22a7c99a1b10ed577acaf13d1c676f76752e6532e","schema_version":"1.0","event_id":"sha256:1086d14407543b934f5313b22a7c99a1b10ed577acaf13d1c676f76752e6532e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:L6X2KM3TPR4OT763LDHTBD24YX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal slow growth of entanglement in interacting strongly disordered systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Dmitry A. Abanin, Maksym Serbyn, Z. Papi\\'c","submitted_at":"2013-04-16T20:08:43Z","abstract_excerpt":"Recent numerical work by Bardarson et. al. [Phys. Rev. Lett. 109, 017202 (2012)] revealed a slow, logarithmic in time, growth of entanglement entropy for initial product states in a putative many-body localized phase. We show that this surprising phenomenon results from the dephasing due to exponentially small interaction-induced corrections to the eigenenergies of different states. For weak interactions, we find that the entanglement entropy grows as \\xi ln (Vt/\\hbar), where V is the interaction strength, and \\xi is the single-particle localization length. The saturated value of the entanglem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4605","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":"2026-05-18T03:19:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cWPwMmXAeZpaRN5qlsrPJCr/WUz0qt292WkhoXhlurFBMcseuiM4lXjpZh1gPY3qcdjn84PmEw2RVGCogpFuDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:48:49.648148Z"},"content_sha256":"ed890217821b59818ca9c8d6b58e4a92c4d4d7a1d802f3834ee5c4e53d4b4cb7","schema_version":"1.0","event_id":"sha256:ed890217821b59818ca9c8d6b58e4a92c4d4d7a1d802f3834ee5c4e53d4b4cb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L6X2KM3TPR4OT763LDHTBD24YX/bundle.json","state_url":"https://pith.science/pith/L6X2KM3TPR4OT763LDHTBD24YX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L6X2KM3TPR4OT763LDHTBD24YX/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":"2026-05-31T01:48:49Z","links":{"resolver":"https://pith.science/pith/L6X2KM3TPR4OT763LDHTBD24YX","bundle":"https://pith.science/pith/L6X2KM3TPR4OT763LDHTBD24YX/bundle.json","state":"https://pith.science/pith/L6X2KM3TPR4OT763LDHTBD24YX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L6X2KM3TPR4OT763LDHTBD24YX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:L6X2KM3TPR4OT763LDHTBD24YX","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":"a156a4caa662155286c88219c5da711971440e331a55ff007250c31047384425","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-04-16T20:08:43Z","title_canon_sha256":"40afad113f6709ce294807fae9bc6e0b803b5e9783524e1048cafedfa89f81fe"},"schema_version":"1.0","source":{"id":"1304.4605","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4605","created_at":"2026-05-18T03:19:25Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4605v3","created_at":"2026-05-18T03:19:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4605","created_at":"2026-05-18T03:19:25Z"},{"alias_kind":"pith_short_12","alias_value":"L6X2KM3TPR4O","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"L6X2KM3TPR4OT763","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"L6X2KM3T","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:ed890217821b59818ca9c8d6b58e4a92c4d4d7a1d802f3834ee5c4e53d4b4cb7","target":"graph","created_at":"2026-05-18T03:19:25Z","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":"Recent numerical work by Bardarson et. al. [Phys. Rev. Lett. 109, 017202 (2012)] revealed a slow, logarithmic in time, growth of entanglement entropy for initial product states in a putative many-body localized phase. We show that this surprising phenomenon results from the dephasing due to exponentially small interaction-induced corrections to the eigenenergies of different states. For weak interactions, we find that the entanglement entropy grows as \\xi ln (Vt/\\hbar), where V is the interaction strength, and \\xi is the single-particle localization length. The saturated value of the entanglem","authors_text":"Dmitry A. Abanin, Maksym Serbyn, Z. Papi\\'c","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-04-16T20:08:43Z","title":"Universal slow growth of entanglement in interacting strongly disordered systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4605","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":"sha256:1086d14407543b934f5313b22a7c99a1b10ed577acaf13d1c676f76752e6532e","target":"record","created_at":"2026-05-18T03:19:25Z","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":"a156a4caa662155286c88219c5da711971440e331a55ff007250c31047384425","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-04-16T20:08:43Z","title_canon_sha256":"40afad113f6709ce294807fae9bc6e0b803b5e9783524e1048cafedfa89f81fe"},"schema_version":"1.0","source":{"id":"1304.4605","kind":"arxiv","version":3}},"canonical_sha256":"5fafa533737c78e9ffdb58cf308f5cc5cdcce5d3779c3b1457c698a7a8669ee2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fafa533737c78e9ffdb58cf308f5cc5cdcce5d3779c3b1457c698a7a8669ee2","first_computed_at":"2026-05-18T03:19:25.565294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:25.565294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PmLSMIdz2MPC5sGQNyqZu2XkXWEokRKJFSyoxD2Q4Wt3o8CSdCbwU9PdDlH3WIcnuuTbSfb1t1/jsCb60YC+Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:25.565939Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.4605","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1086d14407543b934f5313b22a7c99a1b10ed577acaf13d1c676f76752e6532e","sha256:ed890217821b59818ca9c8d6b58e4a92c4d4d7a1d802f3834ee5c4e53d4b4cb7"],"state_sha256":"05095a6ef1c87985fd07d3feeb2a12e7a1705cd09c1158c202301134e0b3e4aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SGADJ1GFm9uwlDTWC2c5ERCnv8w8S4saEKiKyVJ9/w/0qZv4b2qmuo3NeU1wHPKT1UncO2LeHsn7Cxv3Iyt4Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:48:49.650823Z","bundle_sha256":"9fd94408916668cdd72c5302b9516c0c91b138ef968342ce2b434c6ac0024014"}}