Pith Number

pith:IMAGVNJX

pith:2001:IMAGVNJX65NRAJ4AT4EQP5RLJP

not attested not anchored not stored refs pending

Convex cocompact subgroups of mapping class groups

Benson Farb, Lee Mosher

arxiv:math/0106190 v3 · 2001-06-22 · math.GR · 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{IMAGVNJX65NRAJ4AT4EQP5RLJP}

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	2026-05-18T02:38:00.784438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43006ab537f75b1027809f0907f62b4be65004f070de605d973c9a7878d5d21b

Aliases

arxiv: math/0106190 · arxiv_version: math/0106190v3 · doi: 10.48550/arxiv.math/0106190 · pith_short_12: IMAGVNJX65NR · pith_short_16: IMAGVNJX65NRAJ4A · pith_short_8: IMAGVNJX

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/IMAGVNJX65NRAJ4AT4EQP5RLJP \
  | 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: 43006ab537f75b1027809f0907f62b4be65004f070de605d973c9a7878d5d21b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d69cc5b9ff62da9c713aba52137050031a82dbfb1114ce66921ad285897b12",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2001-06-22T22:48:10Z",
    "title_canon_sha256": "53ef7baa821fdfdd2520dc242dae138b36a73667ef728b291eeb2b725af281a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106190",
    "kind": "arxiv",
    "version": 3
  }
}