Pith Number

pith:7JDLQYFF

pith:1999:7JDLQYFFD5A4QA7ALVCFA63LIA

not attested not anchored not stored refs pending

Presentations for the punctured mapping class groups in terms of Artin groups

Catherine Labruere, Luis Paris

arxiv:math/9911063 v2 · 1999-11-10 · 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{7JDLQYFFD5A4QA7ALVCFA63LIA}

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	2026-05-18T02:41:26.492832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa46b860a51f41c803e05d44507b6b403332b8e63b6afbe77a2960184d8d9082

Aliases

arxiv: math/9911063 · arxiv_version: math/9911063v2 · doi: 10.48550/arxiv.math/9911063 · pith_short_12: 7JDLQYFFD5A4 · pith_short_16: 7JDLQYFFD5A4QA7A · pith_short_8: 7JDLQYFF

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/7JDLQYFFD5A4QA7ALVCFA63LIA \
  | 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: fa46b860a51f41c803e05d44507b6b403332b8e63b6afbe77a2960184d8d9082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6a636bce5710c1ed70c047c8dd126cfced707d1927c8ae6cb0b4ab6838292f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-11-10T10:12:37Z",
    "title_canon_sha256": "b78cd08a98dfc4ca6a970f93f850df8489d898731b1645698a5a14b6c817a10e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911063",
    "kind": "arxiv",
    "version": 2
  }
}