Pith Number

pith:Q66X6D7U

pith:2005:Q66X6D7UHIXRR3BODIVJ37YRK5

not attested not anchored not stored refs pending

Presentations of higher dimensional Thompson groups

Matthew G. Brin

arxiv:math/0501082 v1 · 2005-01-06 · 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{Q66X6D7UHIXRR3BODIVJ37YRK5}

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	2026-05-18T03:14:17.998839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87bd7f0ff43a2f18ec2e1a2a9dff11574789b797e5459e158e345aea568e9023

Aliases

arxiv: math/0501082 · arxiv_version: math/0501082v1 · doi: 10.48550/arxiv.math/0501082 · pith_short_12: Q66X6D7UHIXR · pith_short_16: Q66X6D7UHIXRR3BO · pith_short_8: Q66X6D7U

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/Q66X6D7UHIXRR3BODIVJ37YRK5 \
  | 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: 87bd7f0ff43a2f18ec2e1a2a9dff11574789b797e5459e158e345aea568e9023

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a74cc59d6d531afa8d8e71b51adf4f7242e3e508b89f0dc99d39a8ca67473d32",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-01-06T15:30:30Z",
    "title_canon_sha256": "f4157eabd9c7da58905cb61d4aae9f5a271c1248918c9c4096241a217b515093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501082",
    "kind": "arxiv",
    "version": 1
  }
}