Pith Number

pith:GRX7GY6B

pith:2013:GRX7GY6B7CHCSQJXRARIITLBFU

not attested not anchored not stored refs pending

Galois groups associated to generic Drinfeld modules and a conjecture of Abhyankar

Florian Breuer

arxiv:1303.2334 v3 · 2013-03-10 · 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{GRX7GY6B7CHCSQJXRARIITLBFU}

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	2026-05-18T01:35:05.330644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346ff363c1f88e2941378822844d612d0cec019bc82df0d73929c0da9c115550

Aliases

arxiv: 1303.2334 · arxiv_version: 1303.2334v3 · doi: 10.48550/arxiv.1303.2334 · pith_short_12: GRX7GY6B7CHC · pith_short_16: GRX7GY6B7CHCSQJX · pith_short_8: GRX7GY6B

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/GRX7GY6B7CHCSQJXRARIITLBFU \
  | 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: 346ff363c1f88e2941378822844d612d0cec019bc82df0d73929c0da9c115550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ffeb057aa5f0c280fa39881e7b0ecdf8487d671b0576e612b5313abf1ae308d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-10T16:09:24Z",
    "title_canon_sha256": "637b4bea6322680b27ca48bdd9da73de2e7369ad2bb75bd6d6a32dd561a0e1a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2334",
    "kind": "arxiv",
    "version": 3
  }
}