Pith Number

pith:26SFWG7F

pith:2013:26SFWG7FZTIF74KSC4B5YLQVYV

not attested not anchored not stored refs pending

Linear groups with Borel's property

Khalid Bou-Rabee, Michael Larsen

arxiv:1312.7294 v1 · 2013-12-27 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26SFWG7FZTIF74KSC4B5YLQVYV}

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	2026-05-18T03:03:45.236125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a45b1be5ccd05ff1521703dc2e15c56633609521f5c610adf64ec602502e18

Aliases

arxiv: 1312.7294 · arxiv_version: 1312.7294v1 · doi: 10.48550/arxiv.1312.7294 · pith_short_12: 26SFWG7FZTIF · pith_short_16: 26SFWG7FZTIF74KS · pith_short_8: 26SFWG7F

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/26SFWG7FZTIF74KSC4B5YLQVYV \
  | 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: d7a45b1be5ccd05ff1521703dc2e15c56633609521f5c610adf64ec602502e18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5ec7379cbed8bfe5544c471eb67f7116f1cffae9bdba6846c325890d531a387",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-27T16:16:58Z",
    "title_canon_sha256": "61f9bb734ff77a26a428df3b3a3490aa5d43b52a7c9150c95bcb75b15c199e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7294",
    "kind": "arxiv",
    "version": 1
  }
}