Pith Number

pith:CSXVHTUV

pith:2012:CSXVHTUVFQ47K3ILP2V7STBRKE

not attested not anchored not stored refs pending

The noncommutative Kubo Formula: Applications to Transport in Disordered Topological Insulators with and without Magnetic Fields

Emil Prodan, Yu Xue

arxiv:1206.7081 v1 · 2012-06-29 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSXVHTUVFQ47K3ILP2V7STBRKE}

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	2026-05-18T03:42:31.988560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14af53ce952c39f56d0b7eabf94c3151314d584697954e98ef5804fc6f670986

Aliases

arxiv: 1206.7081 · arxiv_version: 1206.7081v1 · doi: 10.48550/arxiv.1206.7081 · pith_short_12: CSXVHTUVFQ47 · pith_short_16: CSXVHTUVFQ47K3IL · pith_short_8: CSXVHTUV

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/CSXVHTUVFQ47K3ILP2V7STBRKE \
  | 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: 14af53ce952c39f56d0b7eabf94c3151314d584697954e98ef5804fc6f670986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c78083006464ce4a0e557324d64e48157f521d9c544fb691288695d717077f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-06-29T17:24:57Z",
    "title_canon_sha256": "3eb608de0f788bbe808256e1b846c5634538f8ccc5b60cf512db34f5b7b0b22c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7081",
    "kind": "arxiv",
    "version": 1
  }
}