Pith Number

pith:WPLF2FOB

pith:2012:WPLF2FOBTQOJ5SNZFHCVAYWZOP

not attested not anchored not stored refs pending

A 2-base for inverse semigroups

Joao Araujo, Michael Kinyon, R. Padmanabhan

arxiv:1210.3285 v1 · 2012-10-11 · 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{WPLF2FOBTQOJ5SNZFHCVAYWZOP}

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	2026-05-18T03:43:27.806619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d65d15c19c1c9ec9b929c55062d973f60e7424c919a80eb36902f3e2b364a0

Aliases

arxiv: 1210.3285 · arxiv_version: 1210.3285v1 · doi: 10.48550/arxiv.1210.3285 · pith_short_12: WPLF2FOBTQOJ · pith_short_16: WPLF2FOBTQOJ5SNZ · pith_short_8: WPLF2FOB

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/WPLF2FOBTQOJ5SNZFHCVAYWZOP \
  | 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: b3d65d15c19c1c9ec9b929c55062d973f60e7424c919a80eb36902f3e2b364a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d40d4a63d9a9a37ea8ae14f94f885fc115462733a798f2c8a9c053d775527b1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-11T16:14:51Z",
    "title_canon_sha256": "535ce4365b08179bcba8877c75a14d1b36379aaa38c9c096635b2b7db5e0e8a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3285",
    "kind": "arxiv",
    "version": 1
  }
}