Pith Number

pith:I3KZV3SM

pith:2012:I3KZV3SMKD55RV5OOG2HSPSQII

not attested not anchored not stored refs pending

Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity

Barry Bradlyn, Moshe Goldstein, N. Read

arxiv:1207.7021 v2 · 2012-07-30 · cond-mat.stat-mech · cond-mat.mes-hall · cond-mat.quant-gas · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3KZV3SMKD55RV5OOG2HSPSQII}

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	2026-05-18T03:23:03.748827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46d59aee4c50fbd8d7ae71b4793e50421e0001f3644caee47b97ca20c615d338

Aliases

arxiv: 1207.7021 · arxiv_version: 1207.7021v2 · doi: 10.48550/arxiv.1207.7021 · pith_short_12: I3KZV3SMKD55 · pith_short_16: I3KZV3SMKD55RV5O · pith_short_8: I3KZV3SM

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/I3KZV3SMKD55RV5OOG2HSPSQII \
  | 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: 46d59aee4c50fbd8d7ae71b4793e50421e0001f3644caee47b97ca20c615d338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799473d0c1de3bb920e9883bdd50bea78309dacd008c40077b7f6864a9b9965b",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.quant-gas",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-07-30T18:11:22Z",
    "title_canon_sha256": "b9e1ff81d98deb19e12c675a22b330dd9814f3dfc5035cd22ab52854eb0f891b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7021",
    "kind": "arxiv",
    "version": 2
  }
}