Pith Number

pith:AS4PKOJE

pith:2006:AS4PKOJEW536XIMFEZ4VYAA7TB

not attested not anchored not stored refs pending

Rational Singularities and Rational Points

H\'el\`ene Esnault, Manuel Blickle

arxiv:math/0601131 v1 · 2006-01-06 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AS4PKOJEW536XIMFEZ4VYAA7TB}

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	2026-05-18T03:15:07.712339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b8f53924b777eba18526795c001f986930d3cf265ee8a719d158386e4e5232

Aliases

arxiv: math/0601131 · arxiv_version: math/0601131v1 · doi: 10.48550/arxiv.math/0601131 · pith_short_12: AS4PKOJEW536 · pith_short_16: AS4PKOJEW536XIMF · pith_short_8: AS4PKOJE

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/AS4PKOJEW536XIMFEZ4VYAA7TB \
  | 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: 04b8f53924b777eba18526795c001f986930d3cf265ee8a719d158386e4e5232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "263789d324f0f2b7cf33854265fbf894e9cd322fe997b1f2f9ef7468fe651957",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-01-06T21:03:23Z",
    "title_canon_sha256": "9b7aad1460af2112799ac29e19de0b5b9c0d173903954687112922c40f71804b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601131",
    "kind": "arxiv",
    "version": 1
  }
}