Pith Number

pith:MKUWIGEA

pith:2014:MKUWIGEA24L3KMJVVCLPWVJGTG

not attested not anchored not stored refs pending

Representations of the mapping class group of a non-orientable surface

Ferit Deniz, Wilhelm Singhof

arxiv:1402.4716 v1 · 2014-02-19 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKUWIGEA24L3KMJVVCLPWVJGTG}

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	2026-05-18T02:58:33.355679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62a9641880d717b53135a896fb5526998727bb79a5cb7f10eacda8c819ab96ef

Aliases

arxiv: 1402.4716 · arxiv_version: 1402.4716v1 · doi: 10.48550/arxiv.1402.4716 · pith_short_12: MKUWIGEA24L3 · pith_short_16: MKUWIGEA24L3KMJV · pith_short_8: MKUWIGEA

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/MKUWIGEA24L3KMJVVCLPWVJGTG \
  | 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: 62a9641880d717b53135a896fb5526998727bb79a5cb7f10eacda8c819ab96ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50f6fc3ce90f246bb48ff03b7ca013c8c2e273933082e4b45516cb7f97142a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-02-19T16:23:18Z",
    "title_canon_sha256": "d90669dba6b923d3d98a09fb8ef2a36b10b4c2a8de065515ab0154b16662ddf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4716",
    "kind": "arxiv",
    "version": 1
  }
}