{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5FSD7Y2VHOCDPUDJFM2TVBFYOM","short_pith_number":"pith:5FSD7Y2V","canonical_record":{"source":{"id":"1204.3049","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-13T16:49:06Z","cross_cats_sorted":["cond-mat.mtrl-sci","physics.atom-ph"],"title_canon_sha256":"eaed1d175c0241c069654dda989ec67dc783b12b28871788aa7c0e582e1df143","abstract_canon_sha256":"ff3a1e8d0d2abb5f6ed230ecc8cd73d6069d3cfd22cf8bc6dd9d8ba84997ba0d"},"schema_version":"1.0"},"canonical_sha256":"e9643fe3553b8437d0692b353a84b87311af24698007f2cb68f35bb7efa61f6b","source":{"kind":"arxiv","id":"1204.3049","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3049","created_at":"2026-05-18T01:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3049v1","created_at":"2026-05-18T01:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3049","created_at":"2026-05-18T01:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"5FSD7Y2VHOCD","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5FSD7Y2VHOCDPUDJ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5FSD7Y2V","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5FSD7Y2VHOCDPUDJFM2TVBFYOM","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3049","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-13T16:49:06Z","cross_cats_sorted":["cond-mat.mtrl-sci","physics.atom-ph"],"title_canon_sha256":"eaed1d175c0241c069654dda989ec67dc783b12b28871788aa7c0e582e1df143","abstract_canon_sha256":"ff3a1e8d0d2abb5f6ed230ecc8cd73d6069d3cfd22cf8bc6dd9d8ba84997ba0d"},"schema_version":"1.0"},"canonical_sha256":"e9643fe3553b8437d0692b353a84b87311af24698007f2cb68f35bb7efa61f6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:52.655362Z","signature_b64":"4NxwwSWPqzTnXSRnpiNgd5vC+//evum/ErRHgY9xwaaFnVA6wKoLFs9/Lff4blJNGdzWiJLNr2oLI+om3BYICw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9643fe3553b8437d0692b353a84b87311af24698007f2cb68f35bb7efa61f6b","last_reissued_at":"2026-05-18T01:57:52.654986Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:52.654986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3049","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":"2026-05-18T01:57:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u9vY8YIbbAnidaYebG7rpb84vCH5YEanc1Rh62ge3pnuHGTucyN7LpQO14q+RPPKSkCmqiyO4OAjSkR8BxHtDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:50:42.690691Z"},"content_sha256":"da4fe7a316c6d91cdafa9caf2e1036a8518987f72faba5d94b3024111802526e","schema_version":"1.0","event_id":"sha256:da4fe7a316c6d91cdafa9caf2e1036a8518987f72faba5d94b3024111802526e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5FSD7Y2VHOCDPUDJFM2TVBFYOM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Response of a particle in a one-dimensional lattice to an applied force: Dynamics of the effective mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","physics.atom-ph"],"primary_cat":"quant-ph","authors_text":"Federico Duque-Gomez, J. E. Sipe","submitted_at":"2012-04-13T16:49:06Z","abstract_excerpt":"We study the behaviour of the expectation value of the acceleration of a particle in a one-dimensional periodic potential when an external homogeneous force is suddenly applied. The theory is formulated in terms of modified Bloch states that include the interband mixing induced by the force. This approach allows us to understand the behaviour of the wavepacket, which responds with a mass that is initially the bare mass, and subsequently oscillates around the value predicted by the effective mass. If Zener tunneling can be neglected, the expression obtained for the acceleration of the particle "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3049","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":"2026-05-18T01:57:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T2WDOSQk1K3UT0YQm9Cw3bcjg2W3pyq/ob+hIzU6dYWpulhyrQ5JCbOwe1rOhJQ/I8SKQbfREiObx7bGD56ZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:50:42.691043Z"},"content_sha256":"56ba2212956da5a6ed73d7f8dd9ac16d82c26f1a8c41480bf3cfe80814182fdd","schema_version":"1.0","event_id":"sha256:56ba2212956da5a6ed73d7f8dd9ac16d82c26f1a8c41480bf3cfe80814182fdd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5FSD7Y2VHOCDPUDJFM2TVBFYOM/bundle.json","state_url":"https://pith.science/pith/5FSD7Y2VHOCDPUDJFM2TVBFYOM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5FSD7Y2VHOCDPUDJFM2TVBFYOM/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":"2026-06-22T13:50:42Z","links":{"resolver":"https://pith.science/pith/5FSD7Y2VHOCDPUDJFM2TVBFYOM","bundle":"https://pith.science/pith/5FSD7Y2VHOCDPUDJFM2TVBFYOM/bundle.json","state":"https://pith.science/pith/5FSD7Y2VHOCDPUDJFM2TVBFYOM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5FSD7Y2VHOCDPUDJFM2TVBFYOM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5FSD7Y2VHOCDPUDJFM2TVBFYOM","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":"ff3a1e8d0d2abb5f6ed230ecc8cd73d6069d3cfd22cf8bc6dd9d8ba84997ba0d","cross_cats_sorted":["cond-mat.mtrl-sci","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-13T16:49:06Z","title_canon_sha256":"eaed1d175c0241c069654dda989ec67dc783b12b28871788aa7c0e582e1df143"},"schema_version":"1.0","source":{"id":"1204.3049","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3049","created_at":"2026-05-18T01:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3049v1","created_at":"2026-05-18T01:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3049","created_at":"2026-05-18T01:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"5FSD7Y2VHOCD","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5FSD7Y2VHOCDPUDJ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5FSD7Y2V","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:56ba2212956da5a6ed73d7f8dd9ac16d82c26f1a8c41480bf3cfe80814182fdd","target":"graph","created_at":"2026-05-18T01:57:52Z","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 behaviour of the expectation value of the acceleration of a particle in a one-dimensional periodic potential when an external homogeneous force is suddenly applied. The theory is formulated in terms of modified Bloch states that include the interband mixing induced by the force. This approach allows us to understand the behaviour of the wavepacket, which responds with a mass that is initially the bare mass, and subsequently oscillates around the value predicted by the effective mass. If Zener tunneling can be neglected, the expression obtained for the acceleration of the particle ","authors_text":"Federico Duque-Gomez, J. E. Sipe","cross_cats":["cond-mat.mtrl-sci","physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-13T16:49:06Z","title":"Response of a particle in a one-dimensional lattice to an applied force: Dynamics of the effective mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3049","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:da4fe7a316c6d91cdafa9caf2e1036a8518987f72faba5d94b3024111802526e","target":"record","created_at":"2026-05-18T01:57:52Z","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":"ff3a1e8d0d2abb5f6ed230ecc8cd73d6069d3cfd22cf8bc6dd9d8ba84997ba0d","cross_cats_sorted":["cond-mat.mtrl-sci","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-13T16:49:06Z","title_canon_sha256":"eaed1d175c0241c069654dda989ec67dc783b12b28871788aa7c0e582e1df143"},"schema_version":"1.0","source":{"id":"1204.3049","kind":"arxiv","version":1}},"canonical_sha256":"e9643fe3553b8437d0692b353a84b87311af24698007f2cb68f35bb7efa61f6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9643fe3553b8437d0692b353a84b87311af24698007f2cb68f35bb7efa61f6b","first_computed_at":"2026-05-18T01:57:52.654986Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:52.654986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4NxwwSWPqzTnXSRnpiNgd5vC+//evum/ErRHgY9xwaaFnVA6wKoLFs9/Lff4blJNGdzWiJLNr2oLI+om3BYICw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:52.655362Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3049","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da4fe7a316c6d91cdafa9caf2e1036a8518987f72faba5d94b3024111802526e","sha256:56ba2212956da5a6ed73d7f8dd9ac16d82c26f1a8c41480bf3cfe80814182fdd"],"state_sha256":"d6e4b072559f4fca7aa653b84c8b83d69b1b645b231147d150ea0d994d28d6cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MaWpD6BBrysSYFioI9F84cTjonPGd0KX2sMhlg5wmr+QHMJzu2YlAkjzmZdX+y+0FcNAH6WOK+rfN1wPkFqnAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T13:50:42.693018Z","bundle_sha256":"1fe08a31be27f09bb98c5816ab0997f757cfb5b20163d93c4126b5ca90f2d3a8"}}