Pith Number

pith:RH5FUU4K

pith:1999:RH5FUU4K5QGVBEK4XJ3KC3JFYU

not attested not anchored not stored refs pending

Geometric subgroups of mapping class groups

D. Rolfsen, L. Paris

arxiv:math/9906122 v1 · 1999-06-18 · 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{RH5FUU4K5QGVBEK4XJ3KC3JFYU}

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	2026-07-04T14:41:11.923540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89fa5a538aec0d50915cba76a16d25c51ecb4d1547032b02be811b01d559334e

Aliases

arxiv: math/9906122 · arxiv_version: math/9906122v1 · doi: 10.48550/arxiv.math/9906122 · pith_short_12: RH5FUU4K5QGV · pith_short_16: RH5FUU4K5QGVBEK4 · pith_short_8: RH5FUU4K

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/RH5FUU4K5QGVBEK4XJ3KC3JFYU \
  | 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: 89fa5a538aec0d50915cba76a16d25c51ecb4d1547032b02be811b01d559334e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e146777b23e3c3b96c7d3b564c644cda12bf4b140142c5549f4f0bf07dcaffd",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-06-18T12:46:11Z",
    "title_canon_sha256": "94b2c1876a15c26feb4c8bb70d79f8ace6a7c15288f99b4181f2348b08637ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9906122",
    "kind": "arxiv",
    "version": 1
  }
}