Pith Number

pith:FPAJI7CB

pith:2012:FPAJI7CBNIUIHIMMV3AMJ4YA2B

not attested not anchored not stored refs pending

On the Random Sampling of Pairs, with Pedestrian examples

Richard Arratia, Stephen DeSalvo

arxiv:1211.6486 v2 · 2012-11-28 · 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{FPAJI7CBNIUIHIMMV3AMJ4YA2B}

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	2026-05-18T03:22:05.840787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc0947c416a2883a18caec0c4f300d0496eac024c99c9dddf8a1e84f8129ecf

Aliases

arxiv: 1211.6486 · arxiv_version: 1211.6486v2 · doi: 10.48550/arxiv.1211.6486 · pith_short_12: FPAJI7CBNIUI · pith_short_16: FPAJI7CBNIUIHIMM · pith_short_8: FPAJI7CB

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/FPAJI7CBNIUIHIMMV3AMJ4YA2B \
  | 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: 2bc0947c416a2883a18caec0c4f300d0496eac024c99c9dddf8a1e84f8129ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ec44065f8a4d3891feaee499d2d69a9efbcc6b59028eafbeecb708e6947f17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-28T00:27:17Z",
    "title_canon_sha256": "8157edc29a1c7435a10dca1c86210b502bec7a180e0c2d7c1efae770521047ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6486",
    "kind": "arxiv",
    "version": 2
  }
}