Pith Number

pith:H6PVAM7X

pith:2008:H6PVAM7XSUKSSLZB4IQ6UYDPL7

not attested not anchored not stored refs pending

The Lawson-Yau Formula and its generalization

Wenchuan Hu

arxiv:0809.2988 v2 · 2008-09-17 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H6PVAM7XSUKSSLZB4IQ6UYDPL7}

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	2026-07-04T15:33:25.664698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f9f5033f79515292f21e221ea606f5fff2a0601b2b3c2b71cb6040aa4042fa4

Aliases

arxiv: 0809.2988 · arxiv_version: 0809.2988v2 · doi: 10.48550/arxiv.0809.2988 · pith_short_12: H6PVAM7XSUKS · pith_short_16: H6PVAM7XSUKSSLZB · pith_short_8: H6PVAM7X

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/H6PVAM7XSUKSSLZB4IQ6UYDPL7 \
  | 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: 3f9f5033f79515292f21e221ea606f5fff2a0601b2b3c2b71cb6040aa4042fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f766e01d39a9b643545af0265cb502fe193f4af662cf0c3444114ca2ab44fd1",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-09-17T19:28:55Z",
    "title_canon_sha256": "12a0831c3e63e59729af095fd45a5d4aa6d0ee7bd0bedb8aea8ee7b30e6a0722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2988",
    "kind": "arxiv",
    "version": 2
  }
}