Pith Number

pith:W7ZAT5WV

pith:2013:W7ZAT5WVSRL3EDEQYY5QZVAWHR

not attested not anchored not stored refs pending

Drinfeld modules, Frobenius endomorphisms, and CM-liftings

Alina Carmen Cojocaru, Mihran Papikian

arxiv:1307.6162 v3 · 2013-07-23 · 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{W7ZAT5WVSRL3EDEQYY5QZVAWHR}

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	2026-05-18T02:39:01.316282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f209f6d59457b20c90c63b0cd4163c5e8b0c2e90c186a9399e4bfe10db1446

Aliases

arxiv: 1307.6162 · arxiv_version: 1307.6162v3 · doi: 10.48550/arxiv.1307.6162 · pith_short_12: W7ZAT5WVSRL3 · pith_short_16: W7ZAT5WVSRL3EDEQ · pith_short_8: W7ZAT5WV

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/W7ZAT5WVSRL3EDEQYY5QZVAWHR \
  | 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: b7f209f6d59457b20c90c63b0cd4163c5e8b0c2e90c186a9399e4bfe10db1446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac089c5ecb815480ad171711ad321b68bfbb153edfa494ba4a75e6360e0e905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-23T17:13:06Z",
    "title_canon_sha256": "9422c6c95aa9fa166bf7a42f30bf8f4fd12116b3ede258cb65cdf017cf889e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6162",
    "kind": "arxiv",
    "version": 3
  }
}