Pith Number

pith:GEJ3GSAK

pith:2013:GEJ3GSAKNFHE22E7NIA7RDISBB

not attested not anchored not stored refs pending

How to construct the proper gauge-invariant density matrix in steady-state nonequilibrium: Applications to spin-transfer and spin-orbit torques

Branislav K. Nikolic, Farzad Mahfouzi

arxiv:1305.3180 v2 · 2013-05-14 · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEJ3GSAKNFHE22E7NIA7RDISBB}

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.

Receipt and verification

First computed	2026-05-18T03:10:14.330375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3113b3480a694e4d689f6a01f88d12084c566adaff53a2d2382ab991c0fc5ba0

Aliases

arxiv: 1305.3180 · arxiv_version: 1305.3180v2 · doi: 10.48550/arxiv.1305.3180 · pith_short_12: GEJ3GSAKNFHE · pith_short_16: GEJ3GSAKNFHE22E7 · pith_short_8: GEJ3GSAK

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/GEJ3GSAKNFHE22E7NIA7RDISBB \
  | 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: 3113b3480a694e4d689f6a01f88d12084c566adaff53a2d2382ab991c0fc5ba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886d2460fbe5aeea7ce2d87e00a3b4bb4588fcf4dc8646fe3bf95d3aca7a3845",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2013-05-14T15:23:10Z",
    "title_canon_sha256": "c47a006ad4b50e25e157eab921294170761d863ce15e0325addaa4b53e83933e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3180",
    "kind": "arxiv",
    "version": 2
  }
}