Pith Number

pith:YRPOF4ZD

pith:2013:YRPOF4ZDFE2YOJS4FHOWB2BAKY

not attested not anchored not stored refs pending

Black box groups isomorphic to ${\rm PGL}(2,2^e)$

M. Kassabov, W. M. Kantor

arxiv:1309.3715 v4 · 2013-09-15 · 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{YRPOF4ZDFE2YOJS4FHOWB2BAKY}

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	2026-05-18T02:55:18.313377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c45ee2f323293587265c29dd60e82056199f8c199ed36a8b9178c012a0326fd3

Aliases

arxiv: 1309.3715 · arxiv_version: 1309.3715v4 · doi: 10.48550/arxiv.1309.3715 · pith_short_12: YRPOF4ZDFE2Y · pith_short_16: YRPOF4ZDFE2YOJS4 · pith_short_8: YRPOF4ZD

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/YRPOF4ZDFE2YOJS4FHOWB2BAKY \
  | 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: c45ee2f323293587265c29dd60e82056199f8c199ed36a8b9178c012a0326fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b33b9282454da527e369b74cbb1e5a15dc9fff9c7a3c5d4e3bb6ff957dab5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-15T01:28:52Z",
    "title_canon_sha256": "7cd57684c6fe3e6c2df3bc2499f28decdd59b045f06e12cd19c447c6872f51ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3715",
    "kind": "arxiv",
    "version": 4
  }
}