Pith Number

pith:Y6K5TSVR

pith:2010:Y6K5TSVRCD6HIN246Y4OE747W7

not attested not anchored not stored refs pending

The Brylinski beta function of a surface

E. J. Fuller, M. K. Vemuri

arxiv:1012.4096 v1 · 2010-12-18 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6K5TSVRCD6HIN246Y4OE747W7}

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	2026-05-18T04:32:55.468732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c795d9cab110fc74375cf638e27f9fb7fc209eed730a3d43c39d892c962a51bc

Aliases

arxiv: 1012.4096 · arxiv_version: 1012.4096v1 · doi: 10.48550/arxiv.1012.4096 · pith_short_12: Y6K5TSVRCD6H · pith_short_16: Y6K5TSVRCD6HIN24 · pith_short_8: Y6K5TSVR

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/Y6K5TSVRCD6HIN246Y4OE747W7 \
  | 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: c795d9cab110fc74375cf638e27f9fb7fc209eed730a3d43c39d892c962a51bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd01968f792667e41abaca20681fad1e4a1997029675e27156923adc5f60c65e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-18T15:07:36Z",
    "title_canon_sha256": "e09dce7aae45c185d849a737053415d1f9f88389dc2f0ce973da82625c75fc12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4096",
    "kind": "arxiv",
    "version": 1
  }
}