Pith Number

pith:F3ZVMPJK

pith:2005:F3ZVMPJKM7G5VGQL7TZR4OOO7K

not attested not anchored not stored refs pending

The braided Ptolemy-Thompson group is finitely presented

Christophe Kapoudjian, Louis Funar

arxiv:math/0506397 v1 · 2005-06-20 · 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{F3ZVMPJKM7G5VGQL7TZR4OOO7K}

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	2026-05-18T02:37:59.759942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef3563d2a67cdda9a0bfcf31e39cefabaf0e79557fec0d2785555370700642f

Aliases

arxiv: math/0506397 · arxiv_version: math/0506397v1 · doi: 10.48550/arxiv.math/0506397 · pith_short_12: F3ZVMPJKM7G5 · pith_short_16: F3ZVMPJKM7G5VGQL · pith_short_8: F3ZVMPJK

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/F3ZVMPJKM7G5VGQL7TZR4OOO7K \
  | 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: 2ef3563d2a67cdda9a0bfcf31e39cefabaf0e79557fec0d2785555370700642f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f73c074e40914390dcf5a3dedd209c3430ce82331826c6607a44798fb2c2e7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-06-20T13:50:48Z",
    "title_canon_sha256": "5ac21c719618589840799533f88c94c48bcc6da19b4c7e06ee4d45535a691ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506397",
    "kind": "arxiv",
    "version": 1
  }
}