Pith Number

pith:5XVWGX4W

pith:2012:5XVWGX4WF3MHSKXNM3UNKETDWA

not attested not anchored not stored refs pending

Tagged mapping class groups: Auslander-Reiten translation

Thomas Br\"ustle, Yu Qiu

arxiv:1212.0007 v3 · 2012-11-30 · math.RT · 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{5XVWGX4WF3MHSKXNM3UNKETDWA}

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	2026-05-18T02:03:38.462704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edeb635f962ed8792aed66e8d51263b02987b78c7d69c143f42361538604a5f8

Aliases

arxiv: 1212.0007 · arxiv_version: 1212.0007v3 · doi: 10.48550/arxiv.1212.0007 · pith_short_12: 5XVWGX4WF3MH · pith_short_16: 5XVWGX4WF3MHSKXN · pith_short_8: 5XVWGX4W

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/5XVWGX4WF3MHSKXNM3UNKETDWA \
  | 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: edeb635f962ed8792aed66e8d51263b02987b78c7d69c143f42361538604a5f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9238031693bfb03135da4b8031a91bfbe7bf4db47927f9692db812c50d8f7175",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-30T21:00:04Z",
    "title_canon_sha256": "bee5210cf94e7fbe9097c16ec8bf978fd208556fb0d908f7fb7fccdabc4717a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0007",
    "kind": "arxiv",
    "version": 3
  }
}