{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:VBKZEITNNGZQ5R7ZN5W2NYJNRD","short_pith_number":"pith:VBKZEITN","canonical_record":{"source":{"id":"cond-mat/0607705","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-07-26T23:55:06Z","cross_cats_sorted":[],"title_canon_sha256":"88e31984212225d765ecb11dab17f4deea01a53e77e5b05a446eebc850c2c770","abstract_canon_sha256":"05de7bcfe00f79d5a7dbaf200820e6c69bdccddc32eb3ba5fc3a6569fdccd742"},"schema_version":"1.0"},"canonical_sha256":"a85592226d69b30ec7f96f6da6e12d88d61ca68e28137c558e01915bdce05c67","source":{"kind":"arxiv","id":"cond-mat/0607705","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0607705","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0607705v1","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0607705","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"VBKZEITNNGZQ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"VBKZEITNNGZQ5R7Z","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"VBKZEITN","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:VBKZEITNNGZQ5R7ZN5W2NYJNRD","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0607705","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-07-26T23:55:06Z","cross_cats_sorted":[],"title_canon_sha256":"88e31984212225d765ecb11dab17f4deea01a53e77e5b05a446eebc850c2c770","abstract_canon_sha256":"05de7bcfe00f79d5a7dbaf200820e6c69bdccddc32eb3ba5fc3a6569fdccd742"},"schema_version":"1.0"},"canonical_sha256":"a85592226d69b30ec7f96f6da6e12d88d61ca68e28137c558e01915bdce05c67","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:44.596519Z","signature_b64":"36ZMs+Ixx3MI/IzgksnTqdTuHIvqRBGgszjqG+Ok2Ihtz9ni7RMFm81V7s/oc26PhFaRCV+gLYkBTQPH3egRBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a85592226d69b30ec7f96f6da6e12d88d61ca68e28137c558e01915bdce05c67","last_reissued_at":"2026-05-18T01:39:44.595874Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:44.595874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0607705","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":"2026-05-18T01:39:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KMbq165Ky0olDJ5kTRbXiV4fIByA95tdE86LM4pR52cirXsxvzkXDR7AKX0VJmfhSKq2rIkA5hdV6BzIP8tPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:32:33.060384Z"},"content_sha256":"06c4b1f9142eb8107e8ddf89822a1a3de1308ffde710c05d794bce4db1c77c7e","schema_version":"1.0","event_id":"sha256:06c4b1f9142eb8107e8ddf89822a1a3de1308ffde710c05d794bce4db1c77c7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:VBKZEITNNGZQ5R7ZN5W2NYJNRD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new collective mode in the fractional quantum Hall liquid","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"G. Vignale, I. V. Tokatly","submitted_at":"2006-07-26T23:55:06Z","abstract_excerpt":"We apply the methods of continuum mechanics to the study of the collective modes of the fractional quantum Hall liquid. Our main result is that at long wavelength there are {\\it two} distinct modes of oscillations, while previous theories predicted only {\\it one}. The two modes are shown to arise from the internal dynamics of shear stresses created by the Coulomb interaction in the liquid. Our prediction is supported by recent light scattering experiments, which report the observation of two long-wavelength modes in a quantum Hall liquid."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0607705","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":"2026-05-18T01:39:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dn5o3xn2v+ZgT9fqpe2cEY0ousv7XkxBUVIfXisb6FusAdbhYe5SLQOhFAG3cYsunQq7kH1bM/QYtrQaEZOrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:32:33.061082Z"},"content_sha256":"76d000b56e26a8e9fd2f25e7e156ccae301a755fa05e19ac2633701af9a02465","schema_version":"1.0","event_id":"sha256:76d000b56e26a8e9fd2f25e7e156ccae301a755fa05e19ac2633701af9a02465"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VBKZEITNNGZQ5R7ZN5W2NYJNRD/bundle.json","state_url":"https://pith.science/pith/VBKZEITNNGZQ5R7ZN5W2NYJNRD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VBKZEITNNGZQ5R7ZN5W2NYJNRD/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":"2026-06-09T09:32:33Z","links":{"resolver":"https://pith.science/pith/VBKZEITNNGZQ5R7ZN5W2NYJNRD","bundle":"https://pith.science/pith/VBKZEITNNGZQ5R7ZN5W2NYJNRD/bundle.json","state":"https://pith.science/pith/VBKZEITNNGZQ5R7ZN5W2NYJNRD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VBKZEITNNGZQ5R7ZN5W2NYJNRD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:VBKZEITNNGZQ5R7ZN5W2NYJNRD","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":"05de7bcfe00f79d5a7dbaf200820e6c69bdccddc32eb3ba5fc3a6569fdccd742","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-07-26T23:55:06Z","title_canon_sha256":"88e31984212225d765ecb11dab17f4deea01a53e77e5b05a446eebc850c2c770"},"schema_version":"1.0","source":{"id":"cond-mat/0607705","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0607705","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0607705v1","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0607705","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"VBKZEITNNGZQ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"VBKZEITNNGZQ5R7Z","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"VBKZEITN","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:76d000b56e26a8e9fd2f25e7e156ccae301a755fa05e19ac2633701af9a02465","target":"graph","created_at":"2026-05-18T01:39:44Z","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 apply the methods of continuum mechanics to the study of the collective modes of the fractional quantum Hall liquid. Our main result is that at long wavelength there are {\\it two} distinct modes of oscillations, while previous theories predicted only {\\it one}. The two modes are shown to arise from the internal dynamics of shear stresses created by the Coulomb interaction in the liquid. Our prediction is supported by recent light scattering experiments, which report the observation of two long-wavelength modes in a quantum Hall liquid.","authors_text":"G. Vignale, I. V. Tokatly","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-07-26T23:55:06Z","title":"A new collective mode in the fractional quantum Hall liquid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0607705","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":"sha256:06c4b1f9142eb8107e8ddf89822a1a3de1308ffde710c05d794bce4db1c77c7e","target":"record","created_at":"2026-05-18T01:39:44Z","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":"05de7bcfe00f79d5a7dbaf200820e6c69bdccddc32eb3ba5fc3a6569fdccd742","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-07-26T23:55:06Z","title_canon_sha256":"88e31984212225d765ecb11dab17f4deea01a53e77e5b05a446eebc850c2c770"},"schema_version":"1.0","source":{"id":"cond-mat/0607705","kind":"arxiv","version":1}},"canonical_sha256":"a85592226d69b30ec7f96f6da6e12d88d61ca68e28137c558e01915bdce05c67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a85592226d69b30ec7f96f6da6e12d88d61ca68e28137c558e01915bdce05c67","first_computed_at":"2026-05-18T01:39:44.595874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:44.595874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"36ZMs+Ixx3MI/IzgksnTqdTuHIvqRBGgszjqG+Ok2Ihtz9ni7RMFm81V7s/oc26PhFaRCV+gLYkBTQPH3egRBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:44.596519Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0607705","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06c4b1f9142eb8107e8ddf89822a1a3de1308ffde710c05d794bce4db1c77c7e","sha256:76d000b56e26a8e9fd2f25e7e156ccae301a755fa05e19ac2633701af9a02465"],"state_sha256":"80236b568f04ddc07494768bb0ac0147dfc7c0059ba496dc9ca11a4610f77552"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sb832iK3pmG2QcNxrkp1uqbq5scGFHNntnARJcM2KuvWBTsNBKaYV1V9EIrp5t5rY4tYHo1ljzZtjN+kEuchDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:32:33.064726Z","bundle_sha256":"6ad1039654b2bd1780b9e4ec3a75cb40c6145693a4b9e042a50f093c554ffdd7"}}