Pith Number

pith:4BWPV2G3

pith:2012:4BWPV2G3GQKWO77AYZ2PEHQYBJ

not attested not anchored not stored refs pending

The Kramers Problem for Quantum Fermi Gases with Velocity - Dependent Collision Frequency and Specular - Diffusive Boundary Conditions

A. A. Yushkanov, A. V. Latyshev, A. Yu. Kvashnin

arxiv:1201.1269 v1 · 2012-01-05 · math-ph · cond-mat.quant-gas · 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{4BWPV2G3GQKWO77AYZ2PEHQYBJ}

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	2026-05-18T02:21:25.815265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e06cfae8db3415677fe0c674f21e180a485ea190f0be46f028ce992b8aceb8bf

Aliases

arxiv: 1201.1269 · arxiv_version: 1201.1269v1 · doi: 10.48550/arxiv.1201.1269 · pith_short_12: 4BWPV2G3GQKW · pith_short_16: 4BWPV2G3GQKWO77A · pith_short_8: 4BWPV2G3

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/4BWPV2G3GQKWO77AYZ2PEHQYBJ \
  | 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: e06cfae8db3415677fe0c674f21e180a485ea190f0be46f028ce992b8aceb8bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd17aa1c57193d2a9f30ebfaac219d52863ea007b3c882ef977661333245557e",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-05T19:21:38Z",
    "title_canon_sha256": "5dee6d4a19a6a5c6dc14a2f0d8e25ca30c16e383638d03da47decf00d3dcb9a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1269",
    "kind": "arxiv",
    "version": 1
  }
}