Pith Number

pith:YU5RNKOJ

pith:2003:YU5RNKOJHVWK2UOJGFXPL6ORCV

not attested not anchored not stored refs pending

Abhyankar places admit local uniformization in any characteristic

Franz-Viktor Kuhlmann, Hagen Knaf

arxiv:math/0304159 v1 · 2003-04-12 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YU5RNKOJHVWK2UOJGFXPL6ORCV}

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	2026-05-18T03:29:16.844056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c53b16a9c93d6cad51c9316ef5f9d11544ce0fea5a3bafe1c5acfabb0dcbc37a

Aliases

arxiv: math/0304159 · arxiv_version: math/0304159v1 · doi: 10.48550/arxiv.math/0304159 · pith_short_12: YU5RNKOJHVWK · pith_short_16: YU5RNKOJHVWK2UOJ · pith_short_8: YU5RNKOJ

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/YU5RNKOJHVWK2UOJGFXPL6ORCV \
  | 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: c53b16a9c93d6cad51c9316ef5f9d11544ce0fea5a3bafe1c5acfabb0dcbc37a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a85d353a1654959765effe84e26ad438d866ce0bbd7b55cfb71239164faf634a",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-04-12T23:35:40Z",
    "title_canon_sha256": "55d3c279cf1657ee1d17756ea392955d9627b4676d154f9e8ae23c436c53e118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304159",
    "kind": "arxiv",
    "version": 1
  }
}