Pith Number

pith:GK7WF4UD

pith:2011:GK7WF4UDZSRCJI7QWHHHJGQMTC

not attested not anchored not stored refs pending

Differentials of Cox rings: Jaczewski's theorem revisited

Jaroslaw A. Wisniewski, Oskar Kedzierski

arxiv:1104.0685 v3 · 2011-04-04 · 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{GK7WF4UDZSRCJI7QWHHHJGQMTC}

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	2026-05-18T03:39:51.195431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32bf62f283cca224a3f0b1ce749a0c9892f4c1f1cca3da4177003538265424d9

Aliases

arxiv: 1104.0685 · arxiv_version: 1104.0685v3 · doi: 10.48550/arxiv.1104.0685 · pith_short_12: GK7WF4UDZSRC · pith_short_16: GK7WF4UDZSRCJI7Q · pith_short_8: GK7WF4UD

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/GK7WF4UDZSRCJI7QWHHHJGQMTC \
  | 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: 32bf62f283cca224a3f0b1ce749a0c9892f4c1f1cca3da4177003538265424d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04adbe330328bf1fd525eb0d81866e899d87151e5a733e3c0618c0fec5d50866",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-04T20:34:29Z",
    "title_canon_sha256": "a0195d668e12d7d798d69b68dce1f02aefda1f45fa01d85cb829d3d7726dcc2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0685",
    "kind": "arxiv",
    "version": 3
  }
}