Pith Number

pith:ZONJ2WVY

pith:2012:ZONJ2WVYLXNIPYF24NJLNFV72T

not attested not anchored not stored refs pending

A Nullstellensatz for \L ojasiewicz ideals

Andreea Nicoara, Fabrizio Broglia, Francesca Acquistapace

arxiv:1210.2504 v1 · 2012-10-09 · 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{ZONJ2WVYLXNIPYF24NJLNFV72T}

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	2026-05-18T02:28:41.265834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9a9d5ab85dda87e0bae352b696bfd4d986964e41dea342cde89021ce4115bb

Aliases

arxiv: 1210.2504 · arxiv_version: 1210.2504v1 · doi: 10.48550/arxiv.1210.2504 · pith_short_12: ZONJ2WVYLXNI · pith_short_16: ZONJ2WVYLXNIPYF2 · pith_short_8: ZONJ2WVY

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/ZONJ2WVYLXNIPYF24NJLNFV72T \
  | 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: cb9a9d5ab85dda87e0bae352b696bfd4d986964e41dea342cde89021ce4115bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "231662c359736c5259af850f4c5b613cfaae3cde9870b26f04a8855245b77bb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-09T06:49:59Z",
    "title_canon_sha256": "bd3cf3aa3c902194348c8a0f905a960e93660d81c51955994df2207d916e9ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2504",
    "kind": "arxiv",
    "version": 1
  }
}