{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:LB7PH3IQFYUXJACKVMMYTI7E7Y","short_pith_number":"pith:LB7PH3IQ","canonical_record":{"source":{"id":"1012.3111","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-14T18:06:37Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"4c29ac9110ee936e890432775f14263f73e84d0d67a99aa3a9247fb98eef2ae5","abstract_canon_sha256":"59f6b134425b451859da8b8eeb11ae46ec54fa19bf37d02e7f8fe6be8ff25879"},"schema_version":"1.0"},"canonical_sha256":"587ef3ed102e2974804aab1989a3e4fe1a00ec8eaf7845135e5e4c0f2c99848b","source":{"kind":"arxiv","id":"1012.3111","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3111","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3111v1","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3111","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"LB7PH3IQFYUX","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LB7PH3IQFYUXJACK","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LB7PH3IQ","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:LB7PH3IQFYUXJACKVMMYTI7E7Y","target":"record","payload":{"canonical_record":{"source":{"id":"1012.3111","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-14T18:06:37Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"4c29ac9110ee936e890432775f14263f73e84d0d67a99aa3a9247fb98eef2ae5","abstract_canon_sha256":"59f6b134425b451859da8b8eeb11ae46ec54fa19bf37d02e7f8fe6be8ff25879"},"schema_version":"1.0"},"canonical_sha256":"587ef3ed102e2974804aab1989a3e4fe1a00ec8eaf7845135e5e4c0f2c99848b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:24.850827Z","signature_b64":"LM78R+HbiVkvfNquNKDNZ0+598UdRFX6HhTydXibntDv3kT6PYfo+MU9xBVNrwG63hP8QjtsH9NAnKwSlzfJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"587ef3ed102e2974804aab1989a3e4fe1a00ec8eaf7845135e5e4c0f2c99848b","last_reissued_at":"2026-05-18T02:04:24.850194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:24.850194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.3111","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":"2026-05-18T02:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f+KVlgY2gkQG8FT/GeV8ZkADTr0aTDni4QKVyK2It+vLISkhamOJCzGoaKbawq1XWuH4c+hm1sRvEYDo4J5gAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T06:58:30.695863Z"},"content_sha256":"d539a84e7b48328637a18613a9317a396d8c87737fde0bdf91c5ab235334aa7c","schema_version":"1.0","event_id":"sha256:d539a84e7b48328637a18613a9317a396d8c87737fde0bdf91c5ab235334aa7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:LB7PH3IQFYUXJACKVMMYTI7E7Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collective versus Single--Particle Motion in Quantum Many--Body Systems: Spreading and its Semiclassical Interpretation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"quant-ph","authors_text":"Boris Gutkin, Jens Hammerling, Thomas Guhr","submitted_at":"2010-12-14T18:06:37Z","abstract_excerpt":"We study the interplay between collective and incoherent single-particle motion in a model of two chains of particles whose interaction comprises a non-integrable part. In the perturbative regime, but for a general form of the interaction, we calculate the spectral density for collective excitations. We obtain the remarkable result that it always has a unique semiclassical interpretation. We show this by a proper renormalization procedure which allows us to map our system to a Caldeira-Leggett--type of model in which the bath is part of the system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3111","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":""},"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":"2026-05-18T02:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zbeGi4EPWQhOFLR8AxW3VD0D5ywzNc+op9ap7dKSqIzDfnImikGa67ouLWILYjmhRKk1CUCCN/1G6AbiUbPtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T06:58:30.696466Z"},"content_sha256":"c125ffe10fede2adc8cae65910be351abdbe5247675b382642dc98e42582af1d","schema_version":"1.0","event_id":"sha256:c125ffe10fede2adc8cae65910be351abdbe5247675b382642dc98e42582af1d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LB7PH3IQFYUXJACKVMMYTI7E7Y/bundle.json","state_url":"https://pith.science/pith/LB7PH3IQFYUXJACKVMMYTI7E7Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LB7PH3IQFYUXJACKVMMYTI7E7Y/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":"2026-05-24T06:58:30Z","links":{"resolver":"https://pith.science/pith/LB7PH3IQFYUXJACKVMMYTI7E7Y","bundle":"https://pith.science/pith/LB7PH3IQFYUXJACKVMMYTI7E7Y/bundle.json","state":"https://pith.science/pith/LB7PH3IQFYUXJACKVMMYTI7E7Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LB7PH3IQFYUXJACKVMMYTI7E7Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LB7PH3IQFYUXJACKVMMYTI7E7Y","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":"59f6b134425b451859da8b8eeb11ae46ec54fa19bf37d02e7f8fe6be8ff25879","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-14T18:06:37Z","title_canon_sha256":"4c29ac9110ee936e890432775f14263f73e84d0d67a99aa3a9247fb98eef2ae5"},"schema_version":"1.0","source":{"id":"1012.3111","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3111","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3111v1","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3111","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"LB7PH3IQFYUX","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LB7PH3IQFYUXJACK","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LB7PH3IQ","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:c125ffe10fede2adc8cae65910be351abdbe5247675b382642dc98e42582af1d","target":"graph","created_at":"2026-05-18T02:04:24Z","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 study the interplay between collective and incoherent single-particle motion in a model of two chains of particles whose interaction comprises a non-integrable part. In the perturbative regime, but for a general form of the interaction, we calculate the spectral density for collective excitations. We obtain the remarkable result that it always has a unique semiclassical interpretation. We show this by a proper renormalization procedure which allows us to map our system to a Caldeira-Leggett--type of model in which the bath is part of the system.","authors_text":"Boris Gutkin, Jens Hammerling, Thomas Guhr","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-14T18:06:37Z","title":"Collective versus Single--Particle Motion in Quantum Many--Body Systems: Spreading and its Semiclassical Interpretation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3111","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:d539a84e7b48328637a18613a9317a396d8c87737fde0bdf91c5ab235334aa7c","target":"record","created_at":"2026-05-18T02:04:24Z","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":"59f6b134425b451859da8b8eeb11ae46ec54fa19bf37d02e7f8fe6be8ff25879","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-14T18:06:37Z","title_canon_sha256":"4c29ac9110ee936e890432775f14263f73e84d0d67a99aa3a9247fb98eef2ae5"},"schema_version":"1.0","source":{"id":"1012.3111","kind":"arxiv","version":1}},"canonical_sha256":"587ef3ed102e2974804aab1989a3e4fe1a00ec8eaf7845135e5e4c0f2c99848b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"587ef3ed102e2974804aab1989a3e4fe1a00ec8eaf7845135e5e4c0f2c99848b","first_computed_at":"2026-05-18T02:04:24.850194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:24.850194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LM78R+HbiVkvfNquNKDNZ0+598UdRFX6HhTydXibntDv3kT6PYfo+MU9xBVNrwG63hP8QjtsH9NAnKwSlzfJBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:24.850827Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.3111","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d539a84e7b48328637a18613a9317a396d8c87737fde0bdf91c5ab235334aa7c","sha256:c125ffe10fede2adc8cae65910be351abdbe5247675b382642dc98e42582af1d"],"state_sha256":"ee58b9a6c67c2ee9532bf6a2beddc165cc7f6e0c9c6b9e706a21530d23b33e83"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Hfo6V0ktyIPiR6c5IDVo/jfvtS8dNKjfjPTab/wf64ju6XOqlk2s38L3vNw+LFpxj22fMND5bCHrvJSe6CIDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T06:58:30.699528Z","bundle_sha256":"8b0b7880277bc817d5f8abecd860a42b8c3e90942ad7f09f5c505090a733786a"}}