Pith Number

pith:V5HFICWJ

pith:2010:V5HFICWJP62WEEOCZVCEJLF4VV

not attested not anchored not stored refs pending

Monoids that map onto the Thompson-Higman groups

Jean-Camille Birget

arxiv:1009.0502 v1 · 2010-09-02 · 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{V5HFICWJP62WEEOCZVCEJLF4VV}

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	2026-05-18T04:41:26.468843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af4e540ac97fb56211c2cd4444acbcad4935f0fd87145d9623c55ab809a8e915

Aliases

arxiv: 1009.0502 · arxiv_version: 1009.0502v1 · doi: 10.48550/arxiv.1009.0502 · pith_short_12: V5HFICWJP62W · pith_short_16: V5HFICWJP62WEEOC · pith_short_8: V5HFICWJ

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/V5HFICWJP62WEEOCZVCEJLF4VV \
  | 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: af4e540ac97fb56211c2cd4444acbcad4935f0fd87145d9623c55ab809a8e915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bbb5a661daf10aeea14d9f7c08146f468c47828e08c012e036f9fa7e012176b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-02T18:38:35Z",
    "title_canon_sha256": "a6321f65f332351509ed4dd5a09651c66fa6f7bab616c8b983f96c4bfdf7db1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0502",
    "kind": "arxiv",
    "version": 1
  }
}