Pith Number

pith:OD2QJQJQ

pith:2012:OD2QJQJQP5SEWFTH7N245SUMC4

not attested not anchored not stored refs pending

Kummer Theory for Drinfeld Modules

Richard Pink

arxiv:1202.4732 v1 · 2012-02-21 · 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{OD2QJQJQP5SEWFTH7N245SUMC4}

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	2026-05-18T01:18:10.492893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f504c1307f644b1667fb75ceca8c172e1bc57e76143635bfd685b0628b58f6

Aliases

arxiv: 1202.4732 · arxiv_version: 1202.4732v1 · doi: 10.48550/arxiv.1202.4732 · pith_short_12: OD2QJQJQP5SE · pith_short_16: OD2QJQJQP5SEWFTH · pith_short_8: OD2QJQJQ

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/OD2QJQJQP5SEWFTH7N245SUMC4 \
  | 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: 70f504c1307f644b1667fb75ceca8c172e1bc57e76143635bfd685b0628b58f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6394e78a3b82908559d001aef1e5a8469d97e57904410c37fcff5e84f5a8fab0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-21T19:21:25Z",
    "title_canon_sha256": "6a6ae842c186cd3f041839131971e2c31a492b5d9c8caeef273c6f7da7e306d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4732",
    "kind": "arxiv",
    "version": 1
  }
}