Pith Number

pith:XZVPGGLF

pith:2013:XZVPGGLFK7IZNCLCGTI3FTBQKA

not attested not anchored not stored refs pending

About the algebraic closure of the field of power series in several variables in characteristic zero

Guillaume Rond

arxiv:1303.1921 v4 · 2013-03-08 · math.AC · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZVPGGLFK7IZNCLCGTI3FTBQKA}

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	2026-05-18T00:49:25.439942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be6af3196557d196896234d1b2cc30500611cdf2ed7209260cc23177c6ac362e

Aliases

arxiv: 1303.1921 · arxiv_version: 1303.1921v4 · doi: 10.48550/arxiv.1303.1921 · pith_short_12: XZVPGGLFK7IZ · pith_short_16: XZVPGGLFK7IZNCLC · pith_short_8: XZVPGGLF

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/XZVPGGLFK7IZNCLCGTI3FTBQKA \
  | 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: be6af3196557d196896234d1b2cc30500611cdf2ed7209260cc23177c6ac362e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82f5567435a52d47523c4eb1e6a3a7702c6594943cfd788448b5db40d6d6af1",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-03-08T09:49:19Z",
    "title_canon_sha256": "cae3c3423bb9c21729420b4c1bebeec9f62fd09c6057f07ffab4045217b7e6b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1921",
    "kind": "arxiv",
    "version": 4
  }
}