Pith Number

pith:J4COQWNE

pith:2016:J4COQWNEE2WD7A47B4I77O73FL

not attested not anchored not stored refs pending

An infinite presentation for the mapping class group of a non-orientable surface

Genki Omori

arxiv:1601.01416 v2 · 2016-01-07 · 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{J4COQWNEE2WD7A47B4I77O73FL}

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	2026-05-18T00:51:18.134234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f04e859a426ac3f839f0f11ffbbfb2ac6cab73db188345a03cd91f34887677b

Aliases

arxiv: 1601.01416 · arxiv_version: 1601.01416v2 · doi: 10.48550/arxiv.1601.01416 · pith_short_12: J4COQWNEE2WD · pith_short_16: J4COQWNEE2WD7A47 · pith_short_8: J4COQWNE

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/J4COQWNEE2WD7A47B4I77O73FL \
  | 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: 4f04e859a426ac3f839f0f11ffbbfb2ac6cab73db188345a03cd91f34887677b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62339419aa0e3d23cf5f5da7d777de83f9e8e632cc81f84c5ef5f9f95b0fe5bf",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-01-07T07:11:20Z",
    "title_canon_sha256": "ed752c752306db011ed2d194bf029099f0a439b5fa24fea0603ba4805191e253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01416",
    "kind": "arxiv",
    "version": 2
  }
}