Pith Number

pith:UNNQWMEK

pith:2009:UNNQWMEK35MEBDFQBJFLFCOAXY

not attested not anchored not stored refs pending

On the existence of dimension zero divisors in algebraic function fields defined over F_q

Christophe Ritzenthaler, Robert Rolland, Stephane Ballet

arxiv:0906.5216 v1 · 2009-06-29 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNNQWMEK35MEBDFQBJFLFCOAXY}

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	2026-05-18T02:13:12.088267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a35b0b308adf58408cb00a4ab289c0be082438273a481190d03f9777c2527576

Aliases

arxiv: 0906.5216 · arxiv_version: 0906.5216v1 · doi: 10.48550/arxiv.0906.5216 · pith_short_12: UNNQWMEK35ME · pith_short_16: UNNQWMEK35MEBDFQ · pith_short_8: UNNQWMEK

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/UNNQWMEK35MEBDFQBJFLFCOAXY \
  | 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: a35b0b308adf58408cb00a4ab289c0be082438273a481190d03f9777c2527576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5974acebe7280e339ba3e804e8e88665e66b31ea1a9c10b0185647c11957407d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-06-29T08:04:49Z",
    "title_canon_sha256": "b848f65816af67c86cb4afbcf3a1ef4658abef971f371a90b4a9c49f19a5c1f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5216",
    "kind": "arxiv",
    "version": 1
  }
}