Pith Number

pith:HDWETJ75

pith:2017:HDWETJ75U4OQJYGC4XOOA77GCB

not attested not anchored not stored refs pending

Fricke Lie algebras and the genus zero property in Moonshine

Scott Carnahan

arxiv:1701.07846 v2 · 2017-01-26 · math.RT · 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{HDWETJ75U4OQJYGC4XOOA77GCB}

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	2026-05-18T00:40:40.547250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ec49a7fda71d04e0c2e5dce07fe61077e03e150a2f1e96fd418a0db44f9923

Aliases

arxiv: 1701.07846 · arxiv_version: 1701.07846v2 · doi: 10.48550/arxiv.1701.07846 · pith_short_12: HDWETJ75U4OQ · pith_short_16: HDWETJ75U4OQJYGC · pith_short_8: HDWETJ75

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/HDWETJ75U4OQJYGC4XOOA77GCB \
  | 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: 38ec49a7fda71d04e0c2e5dce07fe61077e03e150a2f1e96fd418a0db44f9923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d7c200bb3e67aed1a9f4a0d384332d6a900c774d844bf8502fa2032a03e1044",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-01-26T19:12:17Z",
    "title_canon_sha256": "0e2ee1347016ef6b847f34629a898500e918c68b176b3efa6784e7e9c163613f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07846",
    "kind": "arxiv",
    "version": 2
  }
}