Pith Number

pith:JUYY7SLZ

pith:2013:JUYY7SLZQBGDZTRIGQW5MUZWE2

not attested not anchored not stored refs pending

A presentation for the mapping class group of a nonorientable surface

Blazej Szepietowski, Luis Paris

arxiv:1308.5856 v1 · 2013-08-27 · 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{JUYY7SLZQBGDZTRIGQW5MUZWE2}

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	2026-05-18T00:51:07.719359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d318fc979804c3cce28342dd6533626bd031586baaf10d2ddb3f6eded35317c

Aliases

arxiv: 1308.5856 · arxiv_version: 1308.5856v1 · doi: 10.48550/arxiv.1308.5856 · pith_short_12: JUYY7SLZQBGD · pith_short_16: JUYY7SLZQBGDZTRI · pith_short_8: JUYY7SLZ

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/JUYY7SLZQBGDZTRIGQW5MUZWE2 \
  | 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: 4d318fc979804c3cce28342dd6533626bd031586baaf10d2ddb3f6eded35317c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1becd8e1683dfd27cc552f065c19e81516d9e5f8e90afed94bada7a2906554bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-27T13:05:05Z",
    "title_canon_sha256": "54e81256f914f8e9faf70d05c4f3bc28590803aa1eadb0efe89279eb0ba4e28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5856",
    "kind": "arxiv",
    "version": 1
  }
}