Pith Number

pith:KIDCI7ZL

pith:1999:KIDCI7ZLI7INKHIJKTYEFDC6FY

not attested not anchored not stored refs pending

Normal all pseudo-Anosov subgroups of mapping class groups

Kim Whittlesey

arxiv:math/9906133 v3 · 1999-06-20 · 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{KIDCI7ZLI7INKHIJKTYEFDC6FY}

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	2026-05-18T02:37:59.243716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5206247f2b47d0d51d0954f0428c5e2e1d8698ffd257a3372caf95f24e24343f

Aliases

arxiv: math/9906133 · arxiv_version: math/9906133v3 · doi: 10.48550/arxiv.math/9906133 · pith_short_12: KIDCI7ZLI7IN · pith_short_16: KIDCI7ZLI7INKHIJ · pith_short_8: KIDCI7ZL

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/KIDCI7ZLI7INKHIJKTYEFDC6FY \
  | 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: 5206247f2b47d0d51d0954f0428c5e2e1d8698ffd257a3372caf95f24e24343f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8b0a4351a27cf1edb262c24efd98349c4c1c7b07cc75dc1fa0a21731d1b61f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-06-20T00:41:08Z",
    "title_canon_sha256": "997c52fbf6cc0e15e06d46b5e51dc398ea7b154476111a2c163e8d1ece4b7d13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9906133",
    "kind": "arxiv",
    "version": 3
  }
}