Pith Number

pith:63WHHUYR

pith:2014:63WHHUYR3H5NL3APKN74IN3SM6

not attested not anchored not stored refs pending

n-Dimensional Projective Varieties with the Action of an Abelian Group of Rank n-1

De-Qi Zhang

arxiv:1412.5779 v1 · 2014-12-18 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63WHHUYR3H5NL3APKN74IN3SM6}

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	2026-05-18T00:05:14.949241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ec73d311d9fad5ec0f537fc4377267ae2ac760522ba65e508ab12cf5702798

Aliases

arxiv: 1412.5779 · arxiv_version: 1412.5779v1 · doi: 10.48550/arxiv.1412.5779 · pith_short_12: 63WHHUYR3H5N · pith_short_16: 63WHHUYR3H5NL3AP · pith_short_8: 63WHHUYR

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/63WHHUYR3H5NL3APKN74IN3SM6 \
  | 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: f6ec73d311d9fad5ec0f537fc4377267ae2ac760522ba65e508ab12cf5702798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "028c0eff9bc39e243415c6de65fa70c2ca7ddd9b9f1e2bd60c75003b82d67551",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-18T09:41:58Z",
    "title_canon_sha256": "f165fe1b34b456fbbe0bb793b869c0da1158dfc1b32914e701b38644125a14a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5779",
    "kind": "arxiv",
    "version": 1
  }
}