Pith Number

pith:AYU6M6LL

pith:2010:AYU6M6LL4BOOJPCTVJLVVV3CEE

not attested not anchored not stored refs pending

Generalised triangle groups of type (3,3,2)

James Howie

arxiv:1012.2763 v1 · 2010-12-13 · 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{AYU6M6LL4BOOJPCTVJLVVV3CEE}

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	2026-05-18T04:33:27.820112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0629e6796be05ce4bc53aa575ad762211f8c047b97bfb012f21a58d08ad23509

Aliases

arxiv: 1012.2763 · arxiv_version: 1012.2763v1 · doi: 10.48550/arxiv.1012.2763 · pith_short_12: AYU6M6LL4BOO · pith_short_16: AYU6M6LL4BOOJPCT · pith_short_8: AYU6M6LL

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/AYU6M6LL4BOOJPCTVJLVVV3CEE \
  | 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: 0629e6796be05ce4bc53aa575ad762211f8c047b97bfb012f21a58d08ad23509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c54bdba8540fb570a8d62b4b1bd6b5cdb22d6882a6b165522f3351014b8b3a37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-13T15:32:49Z",
    "title_canon_sha256": "7e6148c58c8f59544a6225108f94609be6e946f859b5d06750b76826a4bf0cef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2763",
    "kind": "arxiv",
    "version": 1
  }
}