Pith Number

pith:GDGEBH7M

pith:2009:GDGEBH7MRWD6ELPNH5D2AT5XID

not attested not anchored not stored refs pending

A p-adic Multivariate Version of Igusa's Stationary Phase Method

W. A. Zuniga-Galindo

arxiv:0903.0887 v2 · 2009-03-05 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDGEBH7MRWD6ELPNH5D2AT5XID}

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	2026-05-18T01:05:13.255229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30cc409fec8d87e22ded3f47a04fb740fc2446b72cb72197aaa821ff01c73032

Aliases

arxiv: 0903.0887 · arxiv_version: 0903.0887v2 · doi: 10.48550/arxiv.0903.0887 · pith_short_12: GDGEBH7MRWD6 · pith_short_16: GDGEBH7MRWD6ELPN · pith_short_8: GDGEBH7M

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/GDGEBH7MRWD6ELPNH5D2AT5XID \
  | 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: 30cc409fec8d87e22ded3f47a04fb740fc2446b72cb72197aaa821ff01c73032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ad9595372135c29e223d93e6cd369e415540f1277ae683432dd7e5a6bafa327",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-05T00:55:43Z",
    "title_canon_sha256": "f0f777eadc3b3efee58663ae7fcfe3416b3fbc3602ba208fc82352bc1085795d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0887",
    "kind": "arxiv",
    "version": 2
  }
}