Pith Number

pith:Y6ZDAIGN

pith:2021:Y6ZDAIGNLV4AYJD4KIWUJJFPDV

not attested not anchored not stored refs pending

Approximate counting and sampling via local central limit theorems

Ashwin Sah, Mehtaab Sawhney, Vishesh Jain, Will Perkins

arxiv:2108.01161 v1 · 2021-08-02 · cs.DS · math.CO · 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{Y6ZDAIGNLV4AYJD4KIWUJJFPDV}

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	2026-07-05T03:02:59.978582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b23020cd5d780c247c522d44a4af1d6f1ad49c4a65606a066071157f6910bf

Aliases

arxiv: 2108.01161 · arxiv_version: 2108.01161v1 · doi: 10.48550/arxiv.2108.01161 · pith_short_12: Y6ZDAIGNLV4A · pith_short_16: Y6ZDAIGNLV4AYJD4 · pith_short_8: Y6ZDAIGN

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/Y6ZDAIGNLV4AYJD4KIWUJJFPDV \
  | 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: c7b23020cd5d780c247c522d44a4af1d6f1ad49c4a65606a066071157f6910bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b35a3921fa0f8cb8a23bdb3af658529c3be0c4a7efacf8da410403478bf1fed9",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-08-02T20:39:06Z",
    "title_canon_sha256": "da8b412c201d895c3ca5bf0bc5bdfd0414f6a79d3b3f8d66ae1dfd125de2c1a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.01161",
    "kind": "arxiv",
    "version": 1
  }
}