Pith Number

pith:FXZVWG2W

pith:2006:FXZVWG2WV5Y6DJB7QVGCDTKX3F

not attested not anchored not stored refs pending

The braided Ptolemy-Thompson group $T^*$ is asynchronously combable

Christophe Kapoudjian, Louis Funar

arxiv:math/0602490 v1 · 2006-02-22 · 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{FXZVWG2WV5Y6DJB7QVGCDTKX3F}

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	2026-05-18T03:09:00.079233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df35b1b56af71e1a43f854c21cd57d972020f971bd0e468775351f919b6713b

Aliases

arxiv: math/0602490 · arxiv_version: math/0602490v1 · doi: 10.48550/arxiv.math/0602490 · pith_short_12: FXZVWG2WV5Y6 · pith_short_16: FXZVWG2WV5Y6DJB7 · pith_short_8: FXZVWG2W

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/FXZVWG2WV5Y6DJB7QVGCDTKX3F \
  | 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: 2df35b1b56af71e1a43f854c21cd57d972020f971bd0e468775351f919b6713b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6575f7e9d0f7b19eba8486f59083ad333aeabe9eb0a6e70f83da114576d169f5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-02-22T10:28:51Z",
    "title_canon_sha256": "9b8a37fc31fdec1e2fd0b6b0de561e3b896b97752979250f9363d27b041ae9e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602490",
    "kind": "arxiv",
    "version": 1
  }
}