Pith Number

pith:WDGSZZNR

pith:2013:WDGSZZNRMSFJ62L4VEOIVDXY74

not attested not anchored not stored refs pending

Geometric nullstellensatz and symbolic powers on arbitrary varieties

Wenbo Niu

arxiv:1301.4510 v2 · 2013-01-18 · math.AG · 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{WDGSZZNRMSFJ62L4VEOIVDXY74}

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	2026-05-18T03:01:33.469652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0cd2ce5b1648a9f697ca91c8a8ef8ff0072e3f81f0e3e83c64fc8e62d3038c9

Aliases

arxiv: 1301.4510 · arxiv_version: 1301.4510v2 · doi: 10.48550/arxiv.1301.4510 · pith_short_12: WDGSZZNRMSFJ · pith_short_16: WDGSZZNRMSFJ62L4 · pith_short_8: WDGSZZNR

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/WDGSZZNRMSFJ62L4VEOIVDXY74 \
  | 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: b0cd2ce5b1648a9f697ca91c8a8ef8ff0072e3f81f0e3e83c64fc8e62d3038c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16afedda2f474fdc6d1788513eb87f8f52867c8832e5e0ba0a12160df77be6ed",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-18T21:30:46Z",
    "title_canon_sha256": "e021585367c06b34bd7ba0ad27ed0aa957c6ddc7008592e5450a0fb3d7bc686f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4510",
    "kind": "arxiv",
    "version": 2
  }
}