Pith Number

pith:ITNUOTSB

pith:2010:ITNUOTSBTRNN2WPGQSTW3I2OPM

not attested not anchored not stored refs pending

Census of the complex hyperbolic sporadic triangle groups

John R. Parker, Julien Paupert, Martin Deraux (IF)

arxiv:1006.3437 v2 · 2010-06-17 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITNUOTSBTRNN2WPGQSTW3I2OPM}

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	2026-05-18T04:31:52.340515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44db474e419c5add59e684a76da34e7b3a7fdb62b9186c0c73a8f661737d9fba

Aliases

arxiv: 1006.3437 · arxiv_version: 1006.3437v2 · doi: 10.48550/arxiv.1006.3437 · pith_short_12: ITNUOTSBTRNN · pith_short_16: ITNUOTSBTRNN2WPG · pith_short_8: ITNUOTSB

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/ITNUOTSBTRNN2WPGQSTW3I2OPM \
  | 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: 44db474e419c5add59e684a76da34e7b3a7fdb62b9186c0c73a8f661737d9fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c9d3e7cbad3556f16214ecc0158e28ce8b13e2c9de219397f29b2425eb09955",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-06-17T11:50:04Z",
    "title_canon_sha256": "f02022f8f6856676ceec1d0fe8fe96f4f42579a9d846154869970a99e30c8c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3437",
    "kind": "arxiv",
    "version": 2
  }
}