Pith Number

pith:XAQ77E5V

pith:2010:XAQ77E5VADOHGVGNN6I22W66WT

not attested not anchored not stored refs pending

Igusa class polynomials, embeddings of quartic CM fields, and arithmetic intersection theory

Adriana Salerno, Bianca Viray, Erika Wittenborn, Helen Grundman, Jennifer Johnson-Leung, Kristin Lauter

arxiv:1006.0208 v1 · 2010-06-01 · math.NT · 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{XAQ77E5VADOHGVGNN6I22W66WT}

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	2026-05-18T03:44:13.828706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b821ff93b500dc7354cd6f91ad5bdeb4c60540c3399c50aeed5dd774be87ded6

Aliases

arxiv: 1006.0208 · arxiv_version: 1006.0208v1 · doi: 10.48550/arxiv.1006.0208 · pith_short_12: XAQ77E5VADOH · pith_short_16: XAQ77E5VADOHGVGN · pith_short_8: XAQ77E5V

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/XAQ77E5VADOHGVGNN6I22W66WT \
  | 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: b821ff93b500dc7354cd6f91ad5bdeb4c60540c3399c50aeed5dd774be87ded6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fcccc3eef7910eb2f737d432920559e4903351d81fdecea032a42bfc5525f6b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-01T18:19:01Z",
    "title_canon_sha256": "4a50680f7b78243c912186ef08b0db32ded720d5076749faef4586e99a452b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0208",
    "kind": "arxiv",
    "version": 1
  }
}