Pith Number

pith:2676ZONA

pith:2015:2676ZONA6OVYULCPZOYQQIZQTQ

not attested not anchored not stored refs pending

Coxeter groups as Beauville groups

Ben Fairbairn

arxiv:1508.02630 v2 · 2015-08-11 · 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{2676ZONA6OVYULCPZOYQQIZQTQ}

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	2026-05-18T01:16:33.311047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7bfecb9a0f3ab8a2c4fcbb10823309c26cd963f15114e93d074ca2a94d6325b

Aliases

arxiv: 1508.02630 · arxiv_version: 1508.02630v2 · doi: 10.48550/arxiv.1508.02630 · pith_short_12: 2676ZONA6OVY · pith_short_16: 2676ZONA6OVYULCP · pith_short_8: 2676ZONA

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/2676ZONA6OVYULCPZOYQQIZQTQ \
  | 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: d7bfecb9a0f3ab8a2c4fcbb10823309c26cd963f15114e93d074ca2a94d6325b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4b8063eb9591021c8d97395ccadd768c75eb9ad38f55b67ef7b262c3a789922",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-11T15:33:45Z",
    "title_canon_sha256": "2a7c19cb289b00f319320b51ea27b025ff3fb020ffc02805214c58e6d8d502cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02630",
    "kind": "arxiv",
    "version": 2
  }
}