Pith Number

pith:SPZT5RMC

pith:2016:SPZT5RMCMR6WLTYVP2ZO65LX7X

not attested not anchored not stored refs pending

Poisson and independent process approximation for random combinatorial structures with a given number of components, and near-universal behavior for low rank assemblies

Richard Arratia, Stephen DeSalvo

arxiv:1606.04642 v2 · 2016-06-15 · 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{SPZT5RMCMR6WLTYVP2ZO65LX7X}

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	2026-05-18T01:11:30.443065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f33ec582647d65cf157eb2ef7577fde204591bb3e6b15fef7d4485c75d8a4a

Aliases

arxiv: 1606.04642 · arxiv_version: 1606.04642v2 · doi: 10.48550/arxiv.1606.04642 · pith_short_12: SPZT5RMCMR6W · pith_short_16: SPZT5RMCMR6WLTYV · pith_short_8: SPZT5RMC

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/SPZT5RMCMR6WLTYVP2ZO65LX7X \
  | 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: 93f33ec582647d65cf157eb2ef7577fde204591bb3e6b15fef7d4485c75d8a4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14ff29f427c79e5ae47221321e11407e33a84527c83a0ff3b34ce61e280dc5f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-15T05:01:47Z",
    "title_canon_sha256": "0f1c3ef785e15746449e983e227a481e1864cb8df1bd02702b71f5ec615520ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04642",
    "kind": "arxiv",
    "version": 2
  }
}