Pith Number

pith:ULM4M6XJ

pith:2010:ULM4M6XJ2W5BC3HA4P4LM3CMIS

not attested not anchored not stored refs pending

Valuation theoretic and model theoretic aspects of local uniformization

Franz-Viktor Kuhlmann

arxiv:1003.5689 v1 · 2010-03-29 · 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{ULM4M6XJ2W5BC3HA4P4LM3CMIS}

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	2026-05-18T03:29:28.051887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d9c67ae9d5ba116ce0e3f8b66c4c44afdb3c470919c248cabe7471491ff151

Aliases

arxiv: 1003.5689 · arxiv_version: 1003.5689v1 · doi: 10.48550/arxiv.1003.5689 · pith_short_12: ULM4M6XJ2W5B · pith_short_16: ULM4M6XJ2W5BC3HA · pith_short_8: ULM4M6XJ

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/ULM4M6XJ2W5BC3HA4P4LM3CMIS \
  | 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: a2d9c67ae9d5ba116ce0e3f8b66c4c44afdb3c470919c248cabe7471491ff151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c13deb0695b722ccf72f020717397ebaf6d1a0565fea23a56e5e9a933d0c2f32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-03-29T21:46:52Z",
    "title_canon_sha256": "696c6f60656215e9e53a3b5b095b1bf95da79f93629bb76fc9bd95e9753b8810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5689",
    "kind": "arxiv",
    "version": 1
  }
}