Pith Number

pith:S2CQU5VF

pith:2015:S2CQU5VF3UKFP3256N3JRYB2JX

not attested not anchored not stored refs pending

Conway groupoids, regular two-graphs and supersimple designs

Cheryl E. Praeger, Jason Semeraro, Neil I. Gillespie, Nick Gill

arxiv:1510.06680 v1 · 2015-10-22 · 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{S2CQU5VF3UKFP3256N3JRYB2JX}

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	2026-05-18T01:29:30.302635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96850a76a5dd1457ef5df37698e03a4dc297f2ed4d8d4e95536174dee6f2b1ba

Aliases

arxiv: 1510.06680 · arxiv_version: 1510.06680v1 · doi: 10.48550/arxiv.1510.06680 · pith_short_12: S2CQU5VF3UKF · pith_short_16: S2CQU5VF3UKFP325 · pith_short_8: S2CQU5VF

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/S2CQU5VF3UKFP3256N3JRYB2JX \
  | 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: 96850a76a5dd1457ef5df37698e03a4dc297f2ed4d8d4e95536174dee6f2b1ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d032f21a61c598ed0d200486cb7e949c5b8c60c90edd5718dfaafdcc0c89fd4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-22T16:40:11Z",
    "title_canon_sha256": "a4beb351ae8dd260032073af512124fda3cae678c497ef23be9b9bd6cdb32816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06680",
    "kind": "arxiv",
    "version": 1
  }
}