Pith Number

pith:3ZHMITOQ

pith:2012:3ZHMITOQBTX3JN3DIC2IWAAQ2S

not attested not anchored not stored refs pending

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

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

arxiv:1201.0840 v1 · 2012-01-04 · math-ph · cond-mat.quant-gas · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZHMITOQBTX3JN3DIC2IWAAQ2S}

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	2026-05-18T04:05:16.178055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4ec44dd00cefb4b76340b48b0010d4a073050882d6db29ba464dabd1a7d3b4

Aliases

arxiv: 1201.0840 · arxiv_version: 1201.0840v1 · doi: 10.48550/arxiv.1201.0840 · pith_short_12: 3ZHMITOQBTX3 · pith_short_16: 3ZHMITOQBTX3JN3D · pith_short_8: 3ZHMITOQ

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/3ZHMITOQBTX3JN3DIC2IWAAQ2S \
  | 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: de4ec44dd00cefb4b76340b48b0010d4a073050882d6db29ba464dabd1a7d3b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833f20b800d5884e2567a0594fc0544dc43dba562e6f277121a142c061d0ca18",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-04T07:48:27Z",
    "title_canon_sha256": "7b0dde19c5724668a42320e05d9bd146a1c09b0d64820a57588ed08e8b528fe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0840",
    "kind": "arxiv",
    "version": 1
  }
}