Pith Number

pith:U4LF6WBL

pith:2011:U4LF6WBLQVFBPLV5MJKDI2TXGF

not attested not anchored not stored refs pending

Deuring's mass formula of a Mumford family

Kang Zuo, Mao Sheng

arxiv:1111.5983 v2 · 2011-11-25 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4LF6WBLQVFBPLV5MJKDI2TXGF}

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	2026-05-18T03:07:41.460723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7165f582b854a17aebd6254346a773170fb4bb48f9878c59fb012e3e4409d6c

Aliases

arxiv: 1111.5983 · arxiv_version: 1111.5983v2 · doi: 10.48550/arxiv.1111.5983 · pith_short_12: U4LF6WBLQVFB · pith_short_16: U4LF6WBLQVFBPLV5 · pith_short_8: U4LF6WBL

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/U4LF6WBLQVFBPLV5MJKDI2TXGF \
  | 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: a7165f582b854a17aebd6254346a773170fb4bb48f9878c59fb012e3e4409d6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dce4869caa170a57a399cc6b2b765afabe8ee07e8dbb67dc10d41edca8fd6f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-25T13:36:25Z",
    "title_canon_sha256": "bcb959c1b507830f749f8bd2967073c9128b547b83e7877220c3fcdfdef17071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5983",
    "kind": "arxiv",
    "version": 2
  }
}