Pith Number

pith:PIWVKIIN

pith:2013:PIWVKIIN7BNLODANIDLN6VTZDE

not attested not anchored not stored refs pending

A minimal generating set of the level 2 mapping class group of a non-orientable surface

Masatoshi Sato, Susumu Hirose

arxiv:1306.5382 v1 · 2013-06-23 · 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{PIWVKIIN7BNLODANIDLN6VTZDE}

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	2026-05-17T23:53:35.544954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a2d55210df85ab70c0d40d6df5679193eff216a5ab92cd5f4a2027a82ec41ae

Aliases

arxiv: 1306.5382 · arxiv_version: 1306.5382v1 · doi: 10.48550/arxiv.1306.5382 · pith_short_12: PIWVKIIN7BNL · pith_short_16: PIWVKIIN7BNLODAN · pith_short_8: PIWVKIIN

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/PIWVKIIN7BNLODANIDLN6VTZDE \
  | 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: 7a2d55210df85ab70c0d40d6df5679193eff216a5ab92cd5f4a2027a82ec41ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23a5e99b2c98b9f94febf5f965e30f8c1e15a4b66475332a0e303c1957dd054c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-06-23T07:15:02Z",
    "title_canon_sha256": "6783b9a5ff639cfbb87a4047697b276372dd732f27f3f4da7d06f6ed0e95f34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5382",
    "kind": "arxiv",
    "version": 1
  }
}