Pith Number

pith:D46IVHZ5

pith:2026:D46IVHZ52XU7GTRP3Q4H7QP3VV

not attested not anchored not stored refs pending

On partial groups of small order

Philip Hackney

arxiv:2605.26199 v1 · 2026-05-25 · math.GR · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D46IVHZ52XU7GTRP3Q4H7QP3VV}

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	2026-05-27T00:04:28.495385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3c8a9f3dd5e9f34e2fdc387fc1fbad54ccb8bd93cb6bf02cd79ffa5f61b223

Aliases

arxiv: 2605.26199 · arxiv_version: 2605.26199v1 · doi: 10.48550/arxiv.2605.26199 · pith_short_12: D46IVHZ52XU7 · pith_short_16: D46IVHZ52XU7GTRP · pith_short_8: D46IVHZ5

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/D46IVHZ52XU7GTRP3Q4H7QP3VV \
  | 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: 1f3c8a9f3dd5e9f34e2fdc387fc1fbad54ccb8bd93cb6bf02cd79ffa5f61b223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa83b98395d5ab78a1dbe238c647d8dae1ffdd8368981487fe00bf6bde74617",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-25T17:12:46Z",
    "title_canon_sha256": "d0bd324ea326ac134da35558dcdc3562d4df5c0e4ec73291c09960fc3c1463f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26199",
    "kind": "arxiv",
    "version": 1
  }
}