Pith Number

pith:4SDGO2OT

pith:2015:4SDGO2OTTJ45UNRDF7YGELTZD5

not attested not anchored not stored refs pending

Adjoint representations of black box groups ${\rm PSL}_2(\mathbb{F}_q)$

Alexandre Borovik, \c{S}\"ukr\"u Yal\c{c}{\i}nkaya

arxiv:1502.06374 v3 · 2015-02-23 · 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{4SDGO2OTTJ45UNRDF7YGELTZD5}

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	2026-05-18T00:21:38.073166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4866769d39a79da36232ff0622e791f6a992a9336eab7e916d61e3c371d4947

Aliases

arxiv: 1502.06374 · arxiv_version: 1502.06374v3 · doi: 10.48550/arxiv.1502.06374 · pith_short_12: 4SDGO2OTTJ45 · pith_short_16: 4SDGO2OTTJ45UNRD · pith_short_8: 4SDGO2OT

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/4SDGO2OTTJ45UNRDF7YGELTZD5 \
  | 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: e4866769d39a79da36232ff0622e791f6a992a9336eab7e916d61e3c371d4947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f989a703ee95619beb22bf3978a93d4074d482876774c663a247c87d4785eefa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-02-23T10:26:22Z",
    "title_canon_sha256": "9e7010bbc8f500dccbf9d81b8256622fd09b7ec90689ffeb33caa7992ebc2868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06374",
    "kind": "arxiv",
    "version": 3
  }
}