Pith Number

pith:3KSZXTPQ

pith:2020:3KSZXTPQYSM6TND2TLOBY6CXXJ

not attested not anchored not stored refs pending

On class number relations, intersections, and GL(2)-tale over the function field side

Fu-Tsun Wei, Jia-Wei Guo

arxiv:2012.08728 v2 · 2020-12-16 · 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{3KSZXTPQYSM6TND2TLOBY6CXXJ}

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.

Cited by

1 paper in Pith

Duke for Drinfeld

Receipt and verification

First computed	2026-07-05T02:27:34.410884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa59bcdf0c499e9b47a9adc1c7857ba53d1e76380384d031babbb732749bc06

Aliases

arxiv: 2012.08728 · arxiv_version: 2012.08728v2 · doi: 10.48550/arxiv.2012.08728 · pith_short_12: 3KSZXTPQYSM6 · pith_short_16: 3KSZXTPQYSM6TND2 · pith_short_8: 3KSZXTPQ

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/3KSZXTPQYSM6TND2TLOBY6CXXJ \
  | 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: daa59bcdf0c499e9b47a9adc1c7857ba53d1e76380384d031babbb732749bc06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830a9a7263d96d7e0be3feb21da495951b76dec1bfbdc6ac0900cb71e8fccd9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-12-16T03:58:24Z",
    "title_canon_sha256": "dd25a5df22182e93a2df077c903be1ab43048ec1bad4724172b3aad5021fe515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.08728",
    "kind": "arxiv",
    "version": 2
  }
}