Pith Number

pith:CIO7KVF6

pith:2008:CIO7KVF65JJT4XNMAQ5ZFG77SU

not attested not anchored not stored refs pending

Why stratification may hurt, & how much

Andries J. Lenstra, Chris A.J. Klaassen

arxiv:0802.2087 v1 · 2008-02-14 · 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{CIO7KVF65JJT4XNMAQ5ZFG77SU}

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	2026-07-04T15:09:32.739999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121df554beea533e5dac043b929bff951ca5cbe63001b26ee155233bbe0e9e14

Aliases

arxiv: 0802.2087 · arxiv_version: 0802.2087v1 · doi: 10.48550/arxiv.0802.2087 · pith_short_12: CIO7KVF65JJT · pith_short_16: CIO7KVF65JJT4XNM · pith_short_8: CIO7KVF6

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/CIO7KVF65JJT4XNMAQ5ZFG77SU \
  | 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: 121df554beea533e5dac043b929bff951ca5cbe63001b26ee155233bbe0e9e14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bdacd9fae275cc8faed9c61ee5d31da46d94eb6d91300bdca22f9129f948d67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2008-02-14T19:35:42Z",
    "title_canon_sha256": "2aec5f130b4ea5bbfb38d08e46ea87af9d5a8817f14baf1d8f29e569e6c6d013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2087",
    "kind": "arxiv",
    "version": 1
  }
}