Pith Number

pith:ZWAC7A27

pith:2007:ZWAC7A27ZEVEZE5SMPLGD7WJQV

not attested not anchored not stored refs pending

A presentation for the mapping class group of the closed non-orientable surface of genus 4

B{\l}a\.zej Szepietowski

arxiv:0708.0397 v1 · 2007-08-02 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWAC7A27ZEVEZE5SMPLGD7WJQV}

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	2026-05-18T04:38:58.406790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd802f835fc92a4c93b263d661fec985415c6151fa17e90bc528ccb099f14ddf

Aliases

arxiv: 0708.0397 · arxiv_version: 0708.0397v1 · doi: 10.48550/arxiv.0708.0397 · pith_short_12: ZWAC7A27ZEVE · pith_short_16: ZWAC7A27ZEVEZE5S · pith_short_8: ZWAC7A27

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/ZWAC7A27ZEVEZE5SMPLGD7WJQV \
  | 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: cd802f835fc92a4c93b263d661fec985415c6151fa17e90bc528ccb099f14ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01beaddb46022a762c7e66e4a72e2d83982e4434a8dfd2ca3fd4500d85b4f099",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-08-02T18:54:03Z",
    "title_canon_sha256": "88f8b8520b651538ea94588116601c2b31c60c2b502391d647c74b8cbe5999ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0397",
    "kind": "arxiv",
    "version": 1
  }
}