Pith Number

pith:WK34JNCF

pith:2011:WK34JNCF5WBM7QK3HY3RFDENL4

not attested not anchored not stored refs pending

Finite Sets of Affine Points with Unique Associated Monomial Order Quotient Bases

Shugong Zhang, Tian Dong, Zhe Li

arxiv:1102.2471 v3 · 2011-02-12 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WK34JNCF5WBM7QK3HY3RFDENL4}

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	2026-05-18T04:23:12.862522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b7c4b445ed82cfc15b3e37128c8d5f33488558c827de43f48feceed560dac5

Aliases

arxiv: 1102.2471 · arxiv_version: 1102.2471v3 · doi: 10.48550/arxiv.1102.2471 · pith_short_12: WK34JNCF5WBM · pith_short_16: WK34JNCF5WBM7QK3 · pith_short_8: WK34JNCF

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/WK34JNCF5WBM7QK3HY3RFDENL4 \
  | 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: b2b7c4b445ed82cfc15b3e37128c8d5f33488558c827de43f48feceed560dac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20c1d07a5ac2762a11a1f1e7180fa4dd9f0d03b9b26b797348c38b5569a281f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-02-12T02:18:16Z",
    "title_canon_sha256": "97ef0683646c8ee4e79f69cef6fd68c5aceef8824b04d2ffd93d82d85fcdb39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2471",
    "kind": "arxiv",
    "version": 3
  }
}