Pith Number

pith:DIG4B3RI

pith:2012:DIG4B3RIIKOLANBAW5LD2Y6O7A

not attested not anchored not stored refs pending

Groups with right-invariant multiorders

Peter J. Cameron

arxiv:1209.3220 v1 · 2012-09-14 · math.CO · 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{DIG4B3RIIKOLANBAW5LD2Y6O7A}

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	2026-05-18T03:45:32.473694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a0dc0ee28429cb03420b7563d63cef82f281065a4b9204cddeb16389f02cf64

Aliases

arxiv: 1209.3220 · arxiv_version: 1209.3220v1 · doi: 10.48550/arxiv.1209.3220 · pith_short_12: DIG4B3RIIKOL · pith_short_16: DIG4B3RIIKOLANBA · pith_short_8: DIG4B3RI

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/DIG4B3RIIKOLANBAW5LD2Y6O7A \
  | 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: 1a0dc0ee28429cb03420b7563d63cef82f281065a4b9204cddeb16389f02cf64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7800e10f9220043d0990a7b4420d87191e70b0ebae1ee69160d96aaa55e0b47f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-14T15:08:55Z",
    "title_canon_sha256": "cfaa994c57697e2824fba5e4927af0938a1ae1d8a4aa7e4c99e5708576bad9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3220",
    "kind": "arxiv",
    "version": 1
  }
}