Pith Number

pith:GRXLUDE4

pith:2010:GRXLUDE4V5WD7FGXDEOQKO5ZII

not attested not anchored not stored refs pending

Fires on trees

Jean Bertoin (PMA)

arxiv:1011.2308 v2 · 2010-11-10 · 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{GRXLUDE4V5WD7FGXDEOQKO5ZII}

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	2026-05-18T04:34:27.134562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346eba0c9caf6c3f94d7191d053bb94212c2ade9fa47872aed6062289e0404a6

Aliases

arxiv: 1011.2308 · arxiv_version: 1011.2308v2 · doi: 10.48550/arxiv.1011.2308 · pith_short_12: GRXLUDE4V5WD · pith_short_16: GRXLUDE4V5WD7FGX · pith_short_8: GRXLUDE4

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/GRXLUDE4V5WD7FGXDEOQKO5ZII \
  | 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: 346eba0c9caf6c3f94d7191d053bb94212c2ade9fa47872aed6062289e0404a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4806df5a711ad459237aec7e1ebd99a3b82a2c4e68198d55f6ede8fbe66af0bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-10T08:29:07Z",
    "title_canon_sha256": "f270328cdb3f87df0701d747f2738373bda6408d8730e0ffb93e86f3e9804929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2308",
    "kind": "arxiv",
    "version": 2
  }
}