Pith Number

pith:C5CMQDO2

pith:2012:C5CMQDO2MZPDL52RKLDLLVTJHC

not attested not anchored not stored refs pending

The Kramers problem for quantum fermi-gases with constant collision frequency and specular - diffusive boundary conditions

A. V. Latyshev, P. V. Ivanisenko

arxiv:1202.2647 v1 · 2012-02-13 · 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{C5CMQDO2MZPDL52RKLDLLVTJHC}

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	2026-05-18T04:02:26.005150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1744c80dda665e35f75152c6b5d6693883779011a21ec12ccfc2a96331787039

Aliases

arxiv: 1202.2647 · arxiv_version: 1202.2647v1 · doi: 10.48550/arxiv.1202.2647 · pith_short_12: C5CMQDO2MZPD · pith_short_16: C5CMQDO2MZPDL52R · pith_short_8: C5CMQDO2

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/C5CMQDO2MZPDL52RKLDLLVTJHC \
  | 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: 1744c80dda665e35f75152c6b5d6693883779011a21ec12ccfc2a96331787039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df889d072bffd0061fccb08c80b2786efc40f8266d036447cbc2161c14350a6f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-13T07:21:34Z",
    "title_canon_sha256": "603e62b5d5035328ec30f1bd73275b522ea365aa0381347741b1028f2b0f6f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2647",
    "kind": "arxiv",
    "version": 1
  }
}