Pith Number

pith:ETTCN3YR

pith:2015:ETTCN3YR4M7W2NWYTKSJZJSBPB

not attested not anchored not stored refs pending

Chains of subsemigroups

James D. Mitchell, Maximilien Gadouleau, Peter J. Cameron, Yann Peresse

arxiv:1501.06394 v1 · 2015-01-26 · 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{ETTCN3YR4M7W2NWYTKSJZJSBPB}

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	2026-05-17T23:44:43.737892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24e626ef11e33f6d36d89aa49ca6417864b412b602a3eb76e4622f2d83884fca

Aliases

arxiv: 1501.06394 · arxiv_version: 1501.06394v1 · doi: 10.48550/arxiv.1501.06394 · pith_short_12: ETTCN3YR4M7W · pith_short_16: ETTCN3YR4M7W2NWY · pith_short_8: ETTCN3YR

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/ETTCN3YR4M7W2NWYTKSJZJSBPB \
  | 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: 24e626ef11e33f6d36d89aa49ca6417864b412b602a3eb76e4622f2d83884fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9527fa70fa498d101b24d28f9bb83ccafb296ad7d2157066c6a0d9a0c3606d2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-26T13:47:23Z",
    "title_canon_sha256": "1da829d151d61a54e8d6bb3544c82cbfad8af576efa62c8b16c623d323f8bd1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06394",
    "kind": "arxiv",
    "version": 1
  }
}