Pith Number

pith:FNR24LAF

pith:2019:FNR24LAFOWUYIRB47RJHL2JUZ4

not attested not anchored not stored refs pending

Maximal abelian extension of $X_0(p)$ unramified outside cusps

Takao Yamazaki, Yifan Yang

arxiv:1901.06564 v2 · 2019-01-19 · 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{FNR24LAFOWUYIRB47RJHL2JUZ4}

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	2026-05-17T23:44:29.556335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b63ae2c0575a984443cfc5275e934cf0515fab08ac9de6dd858e59c53ae9617

Aliases

arxiv: 1901.06564 · arxiv_version: 1901.06564v2 · doi: 10.48550/arxiv.1901.06564 · pith_short_12: FNR24LAFOWUY · pith_short_16: FNR24LAFOWUYIRB4 · pith_short_8: FNR24LAF

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/FNR24LAFOWUYIRB47RJHL2JUZ4 \
  | 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: 2b63ae2c0575a984443cfc5275e934cf0515fab08ac9de6dd858e59c53ae9617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa53ee24d85ef7323703252eea0fe0de80ddd40e36555c0cea12dc9704aaf6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-19T18:03:34Z",
    "title_canon_sha256": "e4647355b49a8451cfb82bc2f2363270dea82c24dc3e5754e050cfa6e1f933dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06564",
    "kind": "arxiv",
    "version": 2
  }
}