Pith Number

pith:DD6E6YXW

pith:2012:DD6E6YXWBITBIND2UTOQMVUPY7

not attested not anchored not stored refs pending

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

A. V. Latyshev, E. A. Bedrikova

arxiv:1212.1270 v1 · 2012-12-06 · math-ph · math.MP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DD6E6YXWBITBIND2UTOQMVUPY7}

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	2026-05-18T03:39:04.384723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18fc4f62f60a2614347aa4dd06568fc7f86c01e848c6ce871fc16ad8d09dce37

Aliases

arxiv: 1212.1270 · arxiv_version: 1212.1270v1 · doi: 10.48550/arxiv.1212.1270 · pith_short_12: DD6E6YXWBITB · pith_short_16: DD6E6YXWBITBIND2 · pith_short_8: DD6E6YXW

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/DD6E6YXWBITBIND2UTOQMVUPY7 \
  | 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: 18fc4f62f60a2614347aa4dd06568fc7f86c01e848c6ce871fc16ad8d09dce37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e41457e32937d08d183b5ed067ae2d6f2280e8f426b14fdb455f2cac36268bce",
    "cross_cats_sorted": [
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-06T09:43:16Z",
    "title_canon_sha256": "ba5bd0bb9649d6f1eab8b8daa65de70f9ae0c4b7ce96c8b5e5706e5e29301aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1270",
    "kind": "arxiv",
    "version": 1
  }
}