Pith Number

pith:MLMCYPYJ

pith:2013:MLMCYPYJ4GH3UDIWUZH5I3IBNR

not attested not anchored not stored refs pending

Ends for subsemigroups of finite index

Simon Craik, Vesna Kilibarda, Victor Maltcev

arxiv:1302.3500 v2 · 2013-02-13 · 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{MLMCYPYJ4GH3UDIWUZH5I3IBNR}

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	2026-05-18T03:07:34.428406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d82c3f09e18fba0d16a64fd46d016c437972fd313da29dcb3bdc9b04f7c60a

Aliases

arxiv: 1302.3500 · arxiv_version: 1302.3500v2 · doi: 10.48550/arxiv.1302.3500 · pith_short_12: MLMCYPYJ4GH3 · pith_short_16: MLMCYPYJ4GH3UDIW · pith_short_8: MLMCYPYJ

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/MLMCYPYJ4GH3UDIWUZH5I3IBNR \
  | 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: 62d82c3f09e18fba0d16a64fd46d016c437972fd313da29dcb3bdc9b04f7c60a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50329704796820a1889caa07bba4a80dcb6f31a912c22655c99af067f11c417",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-13T11:35:36Z",
    "title_canon_sha256": "6189b15edd17d95f73e4625cfc54ba015d7cf9d5fcffb6a3c691b89720f82b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3500",
    "kind": "arxiv",
    "version": 2
  }
}