Pith Number

pith:6QI4N5IO

pith:2012:6QI4N5IODM3Y2XCWB3YMK6ASDZ

not attested not anchored not stored refs pending

On Microscopic Origin of the Fokker - Planck Kinetic Evolution of Hard Spheres

I.V. Gapyak, V.I. Gerasimenko

arxiv:1208.1647 v1 · 2012-08-08 · math-ph · cond-mat.stat-mech · math.AP · 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{6QI4N5IODM3Y2XCWB3YMK6ASDZ}

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	2026-05-18T03:04:14.028180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f411c6f50e1b378d5c560ef0c578121e542b317e6abc05fc343c292e5302fcd1

Aliases

arxiv: 1208.1647 · arxiv_version: 1208.1647v1 · doi: 10.48550/arxiv.1208.1647 · pith_short_12: 6QI4N5IODM3Y · pith_short_16: 6QI4N5IODM3Y2XCW · pith_short_8: 6QI4N5IO

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/6QI4N5IODM3Y2XCWB3YMK6ASDZ \
  | 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: f411c6f50e1b378d5c560ef0c578121e542b317e6abc05fc343c292e5302fcd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61db47d70fd27c0881c1685e233317188fd28e4dc65b87b0a39146bf7f03d446",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-08T12:05:55Z",
    "title_canon_sha256": "58e2b227b0fa02dce7941a1ef5732116ebfb0d6766a3a94e3a66b8b8ff5dec3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1647",
    "kind": "arxiv",
    "version": 1
  }
}