Pith Number

pith:2WT5UEW7

pith:2010:2WT5UEW7JE6ZP4HA3IJI72KOCR

not attested not anchored not stored refs pending

Langevin theory of fluctuations in the discrete Boltzmann equation

F. varnik, M. E. Cates, M. Gross, R. Adhikari

arxiv:1012.3632 v2 · 2010-12-16 · physics.comp-ph · cond-mat.soft · 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{2WT5UEW7JE6ZP4HA3IJI72KOCR}

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	2026-05-18T04:25:25.555928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5a7da12df493d97f0e0da128fe94e146e7aabb357b3ef1ef194e8197d907c44

Aliases

arxiv: 1012.3632 · arxiv_version: 1012.3632v2 · doi: 10.48550/arxiv.1012.3632 · pith_short_12: 2WT5UEW7JE6Z · pith_short_16: 2WT5UEW7JE6ZP4HA · pith_short_8: 2WT5UEW7

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/2WT5UEW7JE6ZP4HA3IJI72KOCR \
  | 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: d5a7da12df493d97f0e0da128fe94e146e7aabb357b3ef1ef194e8197d907c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4934346d38e045766ccfaa148f9f5ed55500a733fc56355e5441febe8fa731",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2010-12-16T15:08:47Z",
    "title_canon_sha256": "7b75234485542a806ad991a9b1bb9e45abf96985326728013811a87eb4cab5ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3632",
    "kind": "arxiv",
    "version": 2
  }
}