Pith Number

pith:GWYKFBQ2

pith:2010:GWYKFBQ2VWEXWTRIWQSII7ZQNS

not attested not anchored not stored refs pending

Varieties with $P_2(X)=2$ and $q(X)=\dim X$

Zhi Jiang

arxiv:1010.4709 v1 · 2010-10-22 · 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{GWYKFBQ2VWEXWTRIWQSII7ZQNS}

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	2026-05-18T04:38:57.517406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b0a2861aad897b4e28b424847f306ca424c91c9802a8e25f3582314d316f3b

Aliases

arxiv: 1010.4709 · arxiv_version: 1010.4709v1 · doi: 10.48550/arxiv.1010.4709 · pith_short_12: GWYKFBQ2VWEX · pith_short_16: GWYKFBQ2VWEXWTRI · pith_short_8: GWYKFBQ2

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/GWYKFBQ2VWEXWTRIWQSII7ZQNS \
  | 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: 35b0a2861aad897b4e28b424847f306ca424c91c9802a8e25f3582314d316f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8527a021794d6b058015ee2cd13b448c4ec729f3ef9fd8827dd9cf4626cf464",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-22T13:34:52Z",
    "title_canon_sha256": "b846b24e703059ad1280c8d4b8c3baba1eb912bafcb8da5efbc9ef1294987b41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4709",
    "kind": "arxiv",
    "version": 1
  }
}