Pith Number

pith:7C7Q4SDW

pith:2011:7C7Q4SDW3HML26YD75RM7X24L7

not attested not anchored not stored refs pending

The girth alternative for mapping class groups

Kei Nakamura

arxiv:1105.5422 v1 · 2011-05-26 · math.GR · 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{7C7Q4SDW3HML26YD75RM7X24L7}

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	2026-05-18T04:21:11.841528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8bf0e4876d9d8bd7b03ff62cfdf5c5fedf44fb337210fdc3f73c4b9acfbdd2a

Aliases

arxiv: 1105.5422 · arxiv_version: 1105.5422v1 · doi: 10.48550/arxiv.1105.5422 · pith_short_12: 7C7Q4SDW3HML · pith_short_16: 7C7Q4SDW3HML26YD · pith_short_8: 7C7Q4SDW

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/7C7Q4SDW3HML26YD75RM7X24L7 \
  | 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: f8bf0e4876d9d8bd7b03ff62cfdf5c5fedf44fb337210fdc3f73c4b9acfbdd2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f092779fdf0d5e069e764f7392ee9d05b1276344aca93443ed7376b197dc87a5",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-26T22:49:50Z",
    "title_canon_sha256": "c321f2154c4d0f01670dc93610b5842b853878ba11489b54455d0265604bc8cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5422",
    "kind": "arxiv",
    "version": 1
  }
}