Pith Number

pith:6VNMQWJ4

pith:2013:6VNMQWJ4HM7IFBO22GDULGWQFV

not attested not anchored not stored refs pending

Generalized gamma approximation with rates for urns, walks and trees

Adrian R\"ollin, Erol A. Pek\"oz, Nathan Ross

arxiv:1309.4183 v4 · 2013-09-17 · 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{6VNMQWJ4HM7IFBO22GDULGWQFV}

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	2026-05-18T01:11:55.503444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55ac8593c3b3e8285dad187459ad02d6d75bb8f05e6997dd0ebfa4ee94e2331

Aliases

arxiv: 1309.4183 · arxiv_version: 1309.4183v4 · doi: 10.48550/arxiv.1309.4183 · pith_short_12: 6VNMQWJ4HM7I · pith_short_16: 6VNMQWJ4HM7IFBO2 · pith_short_8: 6VNMQWJ4

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/6VNMQWJ4HM7IFBO22GDULGWQFV \
  | 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: f55ac8593c3b3e8285dad187459ad02d6d75bb8f05e6997dd0ebfa4ee94e2331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df908b9cd20ab1c208c8f03ef2c395401617e304a9063aa601d1a254a2bf454e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-17T04:55:45Z",
    "title_canon_sha256": "811d943281093d1c988d2cacf9475a8d58bb5863b7f46348273e5aa646e1b69c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4183",
    "kind": "arxiv",
    "version": 4
  }
}