Pith Number

pith:YVJBGNAR

pith:2017:YVJBGNARRJNZEXGST4DBOQMYIS

not attested not anchored not stored refs pending

Generating mapping class groups with elements of fixed finite order

Justin Lanier

arxiv:1710.04680 v1 · 2017-10-12 · 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{YVJBGNARRJNZEXGST4DBOQMYIS}

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	2026-05-18T00:32:57.016225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5521334118a5b925cd29f06174198449da43ada3eeb956ea7bf81911df4bcc7

Aliases

arxiv: 1710.04680 · arxiv_version: 1710.04680v1 · doi: 10.48550/arxiv.1710.04680 · pith_short_12: YVJBGNARRJNZ · pith_short_16: YVJBGNARRJNZEXGS · pith_short_8: YVJBGNAR

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/YVJBGNARRJNZEXGST4DBOQMYIS \
  | 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: c5521334118a5b925cd29f06174198449da43ada3eeb956ea7bf81911df4bcc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c02ae6b7e647b9722458577b0a270f7ef2d9bff626e9dc4f42325a25f696c804",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-10-12T18:13:07Z",
    "title_canon_sha256": "28bf53106b87440192e6693ce8c671f3770d4532e59aaf9d0d4657001e887f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04680",
    "kind": "arxiv",
    "version": 1
  }
}