Pith Number

pith:OBQGWOQV

pith:2010:OBQGWOQVOZ3EFAQNAMIQUSFGTO

not attested not anchored not stored refs pending

On the last Hilbert-Samuel coefficient of isolated singularities

Juan Elias

arxiv:1011.0846 v1 · 2010-11-03 · math.AC · 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{OBQGWOQVOZ3EFAQNAMIQUSFGTO}

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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	2026-05-18T04:37:09.809019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70606b3a15767642820d03110a48a69bb68d6a680b15e651d885a32f0a4f6050

Aliases

arxiv: 1011.0846 · arxiv_version: 1011.0846v1 · doi: 10.48550/arxiv.1011.0846 · pith_short_12: OBQGWOQVOZ3E · pith_short_16: OBQGWOQVOZ3EFAQN · pith_short_8: OBQGWOQV

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/OBQGWOQVOZ3EFAQNAMIQUSFGTO \
  | 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: 70606b3a15767642820d03110a48a69bb68d6a680b15e651d885a32f0a4f6050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70757d7b58006093ad7fd96278958b3165e163d7b0f290eaaa99e7c788a3411b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-11-03T11:05:27Z",
    "title_canon_sha256": "7d7313eb0b65b68d734667d9f0d5f1c937d4a5622d1ed549a696dd359a457320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0846",
    "kind": "arxiv",
    "version": 1
  }
}