Pith Number

pith:HHZ3D2YR

pith:1999:HHZ3D2YRF6OHN4VE5YGYWX5QCQ

not attested not anchored not stored refs pending

Actions and irreducible representations of the mapping class group

L. Paris

arxiv:math/9905182 v1 · 1999-05-28 · 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{HHZ3D2YRF6OHN4VE5YGYWX5QCQ}

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	2026-07-04T14:41:10.408539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f3b1eb112f9c76f2a4ee0d8b5fb01435e5dd095e4b6b884afce7b6e1b2e8df

Aliases

arxiv: math/9905182 · arxiv_version: math/9905182v1 · doi: 10.48550/arxiv.math/9905182 · pith_short_12: HHZ3D2YRF6OH · pith_short_16: HHZ3D2YRF6OHN4VE · pith_short_8: HHZ3D2YR

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/HHZ3D2YRF6OHN4VE5YGYWX5QCQ \
  | 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: 39f3b1eb112f9c76f2a4ee0d8b5fb01435e5dd095e4b6b884afce7b6e1b2e8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b91884f66e5e9ea94a2a01a5255c816a9bea4467c1dcb4274f81c337085b4d9c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-05-28T14:41:21Z",
    "title_canon_sha256": "9d43a5a9d929d5e7a79f00dcbe82b504b92dbc86fa39410fc60b8f4f30953a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9905182",
    "kind": "arxiv",
    "version": 1
  }
}