Pith Number

pith:BH5CUUFB

pith:2010:BH5CUUFBMBWC6BD62JWQXQH7PJ

not attested not anchored not stored refs pending

The Carlitz shtuka

Lenny Taelman

arxiv:1008.4234 v2 · 2010-08-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BH5CUUFBMBWC6BD62JWQXQH7PJ}

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	2026-05-18T04:18:34.700812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09fa2a50a1606c2f047ed26d0bc0ff7a4fa339880f45caf2654b7d174270c734

Aliases

arxiv: 1008.4234 · arxiv_version: 1008.4234v2 · doi: 10.48550/arxiv.1008.4234 · pith_short_12: BH5CUUFBMBWC · pith_short_16: BH5CUUFBMBWC6BD6 · pith_short_8: BH5CUUFB

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/BH5CUUFBMBWC6BD62JWQXQH7PJ \
  | 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: 09fa2a50a1606c2f047ed26d0bc0ff7a4fa339880f45caf2654b7d174270c734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3d881abaf8b5b986445f4fc829caf2e434aae869899e9bbf344552f9b4c21b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-25T09:22:04Z",
    "title_canon_sha256": "9094d735988480402b3de14d1bbb6113cfca4b61b66c3e6fb933e1fa534174fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4234",
    "kind": "arxiv",
    "version": 2
  }
}