Pith Number

pith:P3BRCGHE

pith:2018:P3BRCGHEZTTO7AN32KRBDCCT43

not attested not anchored not stored refs pending

A group with at least subexponential hyperlinear profile

William Slofstra

arxiv:1806.05267 v1 · 2018-06-13 · math.GR · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3BRCGHEZTTO7AN32KRBDCCT43}

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	2026-05-18T00:13:16.591671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec31118e4cce6ef81bbd2a2118853e6e131ae611a72dbcd47dfe123dab72435

Aliases

arxiv: 1806.05267 · arxiv_version: 1806.05267v1 · doi: 10.48550/arxiv.1806.05267 · pith_short_12: P3BRCGHEZTTO · pith_short_16: P3BRCGHEZTTO7AN3 · pith_short_8: P3BRCGHE

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/P3BRCGHEZTTO7AN32KRBDCCT43 \
  | 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: 7ec31118e4cce6ef81bbd2a2118853e6e131ae611a72dbcd47dfe123dab72435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d6741b61dd8b2757d141cf4994e36c4531d4a21b2f23e477b0c14c7fe189b5f",
    "cross_cats_sorted": [
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-06-13T21:15:43Z",
    "title_canon_sha256": "12dd6af29f45e69f4f870c2c932790e770438850d7f3e978294a71a941dcf9e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05267",
    "kind": "arxiv",
    "version": 1
  }
}