Pith Number

pith:JT4FRNPG

pith:2015:JT4FRNPGH4GYIY2NGJUN6KTQEM

not attested not anchored not stored refs pending

Matricial Rrepresentations of Certain Finitely Presented Groups Generated By Order-2 Generator and their Applications

Ilwoo Cho, Ryan Golden

arxiv:1512.03786 v1 · 2015-11-28 · math.RT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JT4FRNPGH4GYIY2NGJUN6KTQEM}

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	2026-05-18T01:24:31.354725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf858b5e63f0d84634d3268df2a702318a34be597a5cad4bebc130f9720e020

Aliases

arxiv: 1512.03786 · arxiv_version: 1512.03786v1 · doi: 10.48550/arxiv.1512.03786 · pith_short_12: JT4FRNPGH4GY · pith_short_16: JT4FRNPGH4GYIY2N · pith_short_8: JT4FRNPG

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/JT4FRNPGH4GYIY2NGJUN6KTQEM \
  | 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: 4cf858b5e63f0d84634d3268df2a702318a34be597a5cad4bebc130f9720e020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33141e0029fe5fd7c16878ebc3c82ffd4a22e7167ffe1c0838f826a4548fe24e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-11-28T06:15:58Z",
    "title_canon_sha256": "787b69a06e7030c01677874ec6fa42964bb2c4693d811ba8740bb5cd3c8ab561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03786",
    "kind": "arxiv",
    "version": 1
  }
}