Pith Number

pith:ZKYJFDLO

pith:2012:ZKYJFDLO3G3WJWZDJ2WZM4IZNQ

not attested not anchored not stored refs pending

Existence of covers with fixed ramification in positive characteristic

Irene I. Bouw, Leonardo Zapponi

arxiv:1206.1262 v1 · 2012-06-06 · math.AG · 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{ZKYJFDLO3G3WJWZDJ2WZM4IZNQ}

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	2026-05-18T03:25:06.019841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab0928d6ed9b764db234ead9671196c27a8bf7080cea8e343ff10576c54ce8a

Aliases

arxiv: 1206.1262 · arxiv_version: 1206.1262v1 · doi: 10.48550/arxiv.1206.1262 · pith_short_12: ZKYJFDLO3G3W · pith_short_16: ZKYJFDLO3G3WJWZD · pith_short_8: ZKYJFDLO

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/ZKYJFDLO3G3WJWZDJ2WZM4IZNQ \
  | 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: cab0928d6ed9b764db234ead9671196c27a8bf7080cea8e343ff10576c54ce8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1fc5a215767ea5da1998dbeda434befcd44be75b7efd0381a4cec0105679abd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-06T16:06:19Z",
    "title_canon_sha256": "edae3f8b2303e4ca4ec7c5171e734f2097e10b229122ae532cca652cd36eb710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1262",
    "kind": "arxiv",
    "version": 1
  }
}