pith. sign in
Pith Number

pith:GA2HNPJY

pith:2010:GA2HNPJYGIF5RJPXCLDVC74CQ2
not attested not anchored not stored refs pending

Brownian motion of molecules: a stochastic approach

Roumen Tsekov

arxiv:1004.3107 v3 · 2010-04-19 · cond-mat.stat-mech · physics.chem-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GA2HNPJYGIF5RJPXCLDVC74CQ2}

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 2026-05-18T02:38:18.568916Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

303476bd38320bd8a5f712c7517f82868b880cdb296af30047f8af4a6659b8df

Aliases

arxiv: 1004.3107 · arxiv_version: 1004.3107v3 · doi: 10.48550/arxiv.1004.3107 · pith_short_12: GA2HNPJYGIF5 · pith_short_16: GA2HNPJYGIF5RJPX · pith_short_8: GA2HNPJY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GA2HNPJYGIF5RJPXCLDVC74CQ2 \
  | 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: 303476bd38320bd8a5f712c7517f82868b880cdb296af30047f8af4a6659b8df
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "70a62df33649c51cf9591d77db4e5abcfaef89e94d0e205775db6689fcae2cc1",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-04-19T06:49:35Z",
    "title_canon_sha256": "6d75878b1f241038570bc0451ad9a3458f733780713fe1be82ee6a6e3a02fa84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3107",
    "kind": "arxiv",
    "version": 3
  }
}