Pith Number

pith:UXO4Z66H

pith:2011:UXO4Z66HTGRZHRDMOZXBFYMVXT

not attested not anchored not stored refs pending

On the characteristic $p$ valued measure associated to Drinfeld discriminant

Zifeng Yang

arxiv:1109.3006 v1 · 2011-09-14 · 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{UXO4Z66HTGRZHRDMOZXBFYMVXT}

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	2026-05-18T03:33:12.066257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5ddccfbc799a393c46c766e12e195bcfc6a3fafd53b6071f13b242ca6ccd666

Aliases

arxiv: 1109.3006 · arxiv_version: 1109.3006v1 · doi: 10.48550/arxiv.1109.3006 · pith_short_12: UXO4Z66HTGRZ · pith_short_16: UXO4Z66HTGRZHRDM · pith_short_8: UXO4Z66H

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/UXO4Z66HTGRZHRDMOZXBFYMVXT \
  | 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: a5ddccfbc799a393c46c766e12e195bcfc6a3fafd53b6071f13b242ca6ccd666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fbd87aa69f521cde8674df2f20007c4823cb304becb05f18e04d83ecaac53aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-14T07:09:25Z",
    "title_canon_sha256": "5e83eb2b028370c46864c927bb392b6458324855616fd90b31166b6b9ce80230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3006",
    "kind": "arxiv",
    "version": 1
  }
}