Pith Number

pith:WT5BB44B

pith:2010:WT5BB44BELEYSVMXMPLSLHKBYD

not attested not anchored not stored refs pending

The center of the Goldman Lie algebra of a surface of infinite genus

Nariya Kawazumi, Yusuke Kuno

arxiv:1009.4985 v3 · 2010-09-25 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WT5BB44BELEYSVMXMPLSLHKBYD}

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	2026-05-18T03:56:35.451961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4fa10f38122c989559763d7259d41c0cb6920f289ed1d567d52a8ba6ef8eba0

Aliases

arxiv: 1009.4985 · arxiv_version: 1009.4985v3 · doi: 10.48550/arxiv.1009.4985 · pith_short_12: WT5BB44BELEY · pith_short_16: WT5BB44BELEYSVMX · pith_short_8: WT5BB44B

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/WT5BB44BELEYSVMXMPLSLHKBYD \
  | 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: b4fa10f38122c989559763d7259d41c0cb6920f289ed1d567d52a8ba6ef8eba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cde4e104a1d48e50d73af04befeff860ad7800686dafb300a42fdccb9967c7a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-25T07:06:25Z",
    "title_canon_sha256": "17b4531c3a3ed07f5cc47d877bda4bee612cd6670fd2bd4e1ab9114343ec0237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4985",
    "kind": "arxiv",
    "version": 3
  }
}