Pith Number

pith:JIT6KDMW

pith:2011:JIT6KDMWKT5I6EHVYMVKZJH3EF

not attested not anchored not stored refs pending

On idempotent generated semigroups

Jo\~ao Ara\'ujo

arxiv:1101.5709 v1 · 2011-01-29 · 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{JIT6KDMWKT5I6EHVYMVKZJH3EF}

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	2026-05-18T04:30:25.000648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a27e50d9654fa8f10f5c32aaca4fb2171870a94e385642a4871b3716ce6cd3a

Aliases

arxiv: 1101.5709 · arxiv_version: 1101.5709v1 · doi: 10.48550/arxiv.1101.5709 · pith_short_12: JIT6KDMWKT5I · pith_short_16: JIT6KDMWKT5I6EHV · pith_short_8: JIT6KDMW

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/JIT6KDMWKT5I6EHVYMVKZJH3EF \
  | 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: 4a27e50d9654fa8f10f5c32aaca4fb2171870a94e385642a4871b3716ce6cd3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e284edec1bae32305ac4e123b3b63e8fb41c124d672d1af5f9a4123e5b121832",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-29T17:34:04Z",
    "title_canon_sha256": "171f895960524457d3b6cc9b33a4c1f9628fe2d9ed63020d2f287e434ccb1423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5709",
    "kind": "arxiv",
    "version": 1
  }
}