Pith Number

pith:7Q53YSPP

pith:2010:7Q53YSPP223ZWRQABZBSBXZCCH

not attested not anchored not stored refs pending

Strong Laws for Urn Models with Balanced Replacement Matrices

Amites Dasgupta, Krishanu Maulik

arxiv:1010.5348 v2 · 2010-10-26 · 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{7Q53YSPP223ZWRQABZBSBXZCCH}

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	2026-05-18T00:36:10.428155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3bbc49efd6b79b46000e4320df2211ef58906f08a3a108c7b29295ee174752

Aliases

arxiv: 1010.5348 · arxiv_version: 1010.5348v2 · doi: 10.48550/arxiv.1010.5348 · pith_short_12: 7Q53YSPP223Z · pith_short_16: 7Q53YSPP223ZWRQA · pith_short_8: 7Q53YSPP

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/7Q53YSPP223ZWRQABZBSBXZCCH \
  | 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: fc3bbc49efd6b79b46000e4320df2211ef58906f08a3a108c7b29295ee174752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab3d5c1b7d2b3cad4957f54301a75fec09de4ea78dea89ba487dde748d35166d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-26T09:57:02Z",
    "title_canon_sha256": "f54bddef2a82ae69e0fdd305748ad00f7b29af184fa03c58a8d9fe730cde7860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5348",
    "kind": "arxiv",
    "version": 2
  }
}