Pith Number

pith:CJFI27VK

pith:2013:CJFI27VKWHS5NSAKZGRSEUKSWL

not attested not anchored not stored refs pending

Asymptotic Composite Estimation

Feng Li, Kangning Wang, Lixing Zhu, Lu Lin

arxiv:1312.7525 v1 · 2013-12-29 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJFI27VKWHS5NSAKZGRSEUKSWL}

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	2026-05-18T03:03:43.177131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124a8d7eaab1e5d6c80ac9a3225152b2cf01e6f8d248bea430c6c9f5a21ac4f7

Aliases

arxiv: 1312.7525 · arxiv_version: 1312.7525v1 · doi: 10.48550/arxiv.1312.7525 · pith_short_12: CJFI27VKWHS5 · pith_short_16: CJFI27VKWHS5NSAK · pith_short_8: CJFI27VK

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/CJFI27VKWHS5NSAKZGRSEUKSWL \
  | 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: 124a8d7eaab1e5d6c80ac9a3225152b2cf01e6f8d248bea430c6c9f5a21ac4f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d78604a8180f0a96dc95f231627f5f99fbe40720e692d56353b9ec5ea1bfd0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2013-12-29T12:10:45Z",
    "title_canon_sha256": "7ae86b02083d75f8ca57ae0311da321a751cc29aefded8809d8bb6d694737751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7525",
    "kind": "arxiv",
    "version": 1
  }
}