Pith Number

pith:J3MSXBA4

pith:2026:J3MSXBA4LHU5FE6DZ4Z4VB6NXG

not attested not anchored not stored refs resolved

Zitterbewegung velocity in semiclassical electron dynamics

Dimitrie Culcer

The Zitterbewegung velocity from out-of-phase quantum geometric tensor components resolves the position-shift paradox.

arxiv:2605.15292 v1 · 2026-05-14 · cond-mat.other

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3MSXBA4LHU5FE6DZ4Z4VB6NXG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The Zitterbewegung velocity resolves the position-shift paradox, recovering the field-induced shift in an electron's position by integrating the semiclassical equations, and is directly related to the famous minimum conductivity of massless Dirac fermions.

C2weakest assumption

That the symmetric and antisymmetric components of the quantum geometric tensor oscillate out of phase in a manner that produces a distinct, integrable velocity contribution when the quantum Liouville equation is projected onto semiclassical dynamics.

C3one line summary

A new Zitterbewegung velocity is identified from the quantum Liouville equation using out-of-phase components of the quantum geometric tensor; it resolves the position-shift paradox upon integration of semiclassical equations and connects to the minimum conductivity of massless Dirac fermions.

References

76 extracted · 76 resolved · 0 Pith anchors

[1] R. G. Chambers, Proceedings of the Physical Society89, 695 (1966) 1966

[2] N. W. Ashcroft and N. D. Mermin,Solid State Physics (Holt-Saunders, 1976) 1976

[3] G. Sundaram and Q. Niu, Phys. Rev. B59, 14915 (1999) 1999

[4] T. Jungwirth, Q. Niu, and A. H. MacDonald, Phys. Rev. Lett.88, 207208 (2002) 2002

[5] N. A. Sinitsyn, Journal of Physics: Condensed Matter 20, 023201 (2007) 2007

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:51.043986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed92b841c59e9d293c3cf33ca87cdb9a0ea8d8655c5e6fa227b0c869f003e3a

Aliases

arxiv: 2605.15292 · arxiv_version: 2605.15292v1 · doi: 10.48550/arxiv.2605.15292 · pith_short_12: J3MSXBA4LHU5 · pith_short_16: J3MSXBA4LHU5FE6D · pith_short_8: J3MSXBA4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/J3MSXBA4LHU5FE6DZ4Z4VB6NXG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4ed92b841c59e9d293c3cf33ca87cdb9a0ea8d8655c5e6fa227b0c869f003e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b4b39cbaeb54b0ef88d0872cd50adf2bb2224665042f0e36e0f6f6d65544bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2026-05-14T18:08:03Z",
    "title_canon_sha256": "5ef93083567cbc77fd236802b578269545852fdfc15941be430ad7ffa523ed07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15292",
    "kind": "arxiv",
    "version": 1
  }
}