Pith Number

pith:BA2ZXQEM

pith:2009:BA2ZXQEMMW2PXJRGECZABTVTC5

not attested not anchored not stored refs pending

Differential Puiseux theorem in generalized series fields of finite rank

Mickael Matusinski

arxiv:0902.1758 v2 · 2009-02-10 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BA2ZXQEMMW2PXJRGECZABTVTC5}

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	2026-05-18T04:15:17.164074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08359bc08c65b4fba62620b200ceb31769a422e76bf94ca6afd9380d8f08c409

Aliases

arxiv: 0902.1758 · arxiv_version: 0902.1758v2 · doi: 10.48550/arxiv.0902.1758 · pith_short_12: BA2ZXQEMMW2P · pith_short_16: BA2ZXQEMMW2PXJRG · pith_short_8: BA2ZXQEM

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/BA2ZXQEMMW2PXJRGECZABTVTC5 \
  | 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: 08359bc08c65b4fba62620b200ceb31769a422e76bf94ca6afd9380d8f08c409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534a7fc7884f9b8c28a772295dc9d0fd9807490a43fec5aee5940a874c1b92c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-02-10T21:06:01Z",
    "title_canon_sha256": "5a9f0a552aada332b4635c770378d4df1e80abe4202a0c4a5567935e12cf9f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1758",
    "kind": "arxiv",
    "version": 2
  }
}