Pith Number

pith:C2IRIW65

pith:1998:C2IRIW65D3PV5WGS4O5LZAMIVP

not attested not anchored not stored refs pending

Automatic groups, subgroups and cosets

Derek F. Holt

arxiv:math/9810190 v1 · 1998-10-26 · 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{C2IRIW65D3PV5WGS4O5LZAMIVP}

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	2026-05-18T01:05:33.599101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1691145bdd1edf5ed8d2e3babc8188abd74ecf264c3d62468c9c59ae5fc2d85e

Aliases

arxiv: math/9810190 · arxiv_version: math/9810190v1 · doi: 10.48550/arxiv.math/9810190 · pith_short_12: C2IRIW65D3PV · pith_short_16: C2IRIW65D3PV5WGS · pith_short_8: C2IRIW65

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/C2IRIW65D3PV5WGS4O5LZAMIVP \
  | 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: 1691145bdd1edf5ed8d2e3babc8188abd74ecf264c3d62468c9c59ae5fc2d85e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3393262a2c05991314362b8c9c2c0bb18d23c69d083a35a2d1619e5b20417b4b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1998-10-26T00:00:00Z",
    "title_canon_sha256": "d21ac1f67ee56b5295efea827cd1103424e6bfb240fd8c997a15af5770bb98c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9810190",
    "kind": "arxiv",
    "version": 1
  }
}