Pith Number

pith:HLZKHNPV

pith:2017:HLZKHNPVFW3Z4FWFBHI7D2E3VI

not attested not anchored not stored refs pending

Concise presentations of direct products

Martin R Bridson

arxiv:1710.05904 v1 · 2017-10-16 · 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{HLZKHNPVFW3Z4FWFBHI7D2E3VI}

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	2026-05-18T00:32:47.856018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3af2a3b5f52db79e16c509d1f1e89baa2d95794ebee1ea6f2b32f38e66eb5286

Aliases

arxiv: 1710.05904 · arxiv_version: 1710.05904v1 · doi: 10.48550/arxiv.1710.05904 · pith_short_12: HLZKHNPVFW3Z · pith_short_16: HLZKHNPVFW3Z4FWF · pith_short_8: HLZKHNPV

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/HLZKHNPVFW3Z4FWFBHI7D2E3VI \
  | 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: 3af2a3b5f52db79e16c509d1f1e89baa2d95794ebee1ea6f2b32f38e66eb5286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0046572d169e5e9d4cbec281c33a0ed4d0f9f84e807d0c9e660a146c2b4a122c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-16T17:58:00Z",
    "title_canon_sha256": "9e4186931720b94742cd9fb7095cad856b138bd05bf7a084be5a6379d6478da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05904",
    "kind": "arxiv",
    "version": 1
  }
}