Pith Number

pith:GRRPTWT2

pith:2014:GRRPTWT2LOI7MFJHXMU6ZXTI3G

not attested not anchored not stored refs pending

On regularity and the word problem for free idempotent generated semigroups

Igor Dolinka, Nik Ru\v{s}kuc, Robert D. Gray

arxiv:1412.5167 v4 · 2014-12-16 · 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{GRRPTWT2LOI7MFJHXMU6ZXTI3G}

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	2026-05-18T00:28:07.532393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3462f9da7a5b91f61527bb29ecde68d9a9ca1782683080dbb2a0d9c02a1f1b5f

Aliases

arxiv: 1412.5167 · arxiv_version: 1412.5167v4 · doi: 10.48550/arxiv.1412.5167 · pith_short_12: GRRPTWT2LOI7 · pith_short_16: GRRPTWT2LOI7MFJH · pith_short_8: GRRPTWT2

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/GRRPTWT2LOI7MFJHXMU6ZXTI3G \
  | 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: 3462f9da7a5b91f61527bb29ecde68d9a9ca1782683080dbb2a0d9c02a1f1b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc64cf5b5df0011dcd4b2ee1cefb49369e495492c80f1cd77111ceb20e71add9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-16T20:58:10Z",
    "title_canon_sha256": "6c42836a66346773fe796c31fba80ac27f857adcc3ee61377c24c14737f8441c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5167",
    "kind": "arxiv",
    "version": 4
  }
}