Pith Number

pith:VC4WF2SO

pith:2010:VC4WF2SODWHMFVRYSIWYIZSVHK

not attested not anchored not stored refs pending

An elegant 3-basis for inverse semigroups

Joao Araujo, Michael Kinyon

arxiv:1003.4028 v3 · 2010-03-21 · 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{VC4WF2SODWHMFVRYSIWYIZSVHK}

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	2026-05-18T03:44:34.153617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b962ea4e1d8ec2d638922d8466553a8cdd5588d8899b0ec49b99adede3e541

Aliases

arxiv: 1003.4028 · arxiv_version: 1003.4028v3 · doi: 10.48550/arxiv.1003.4028 · pith_short_12: VC4WF2SODWHM · pith_short_16: VC4WF2SODWHMFVRY · pith_short_8: VC4WF2SO

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/VC4WF2SODWHMFVRYSIWYIZSVHK \
  | 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: a8b962ea4e1d8ec2d638922d8466553a8cdd5588d8899b0ec49b99adede3e541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c5f9f209f47e9cc371d2ffb78c37e2043e7cdefbf6fd3d6f8616cf81d7be734",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-03-21T21:01:20Z",
    "title_canon_sha256": "9f1f9c955ffee3e26c89cac8f8425b85d0476dd1b37c74c782ef18699e9c6969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4028",
    "kind": "arxiv",
    "version": 3
  }
}