Pith Number

pith:SPZDURCX

pith:2002:SPZDURCXPZSATQFKP4AKT3IC6W

not attested not anchored not stored refs pending

Flows, coalescence and noise

Olivier Raimond, Yves Le Jan

arxiv:math/0203221 v6 · 2002-03-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPZDURCXPZSATQFKP4AKT3IC6W}

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	2026-05-17T23:39:49.308108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f23a44577e6409c0aa7f00a9ed02f59435c4e9288129da7f6b93e32dda34ef

Aliases

arxiv: math/0203221 · arxiv_version: math/0203221v6 · doi: 10.48550/arxiv.math/0203221 · pith_short_12: SPZDURCXPZSA · pith_short_16: SPZDURCXPZSATQFK · pith_short_8: SPZDURCX

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/SPZDURCXPZSATQFKP4AKT3IC6W \
  | 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: 93f23a44577e6409c0aa7f00a9ed02f59435c4e9288129da7f6b93e32dda34ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25486011032c49a616e6b3bf677b3a3a5e0880ba18ddbd408d2222b1dd1a93b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2002-03-21T15:46:33Z",
    "title_canon_sha256": "dceed1cb8b34e99328f9e195a816775b6e66c0df9191055d51821d26a00439fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203221",
    "kind": "arxiv",
    "version": 6
  }
}