Pith Number

pith:WAVBF4BW

pith:2010:WAVBF4BWFPIQUNE2EUIYQNQGYC

not attested not anchored not stored refs pending

Ideals in intra-regular left almost semigroups

Faisal, Madad Khan, Venus Amjid

arxiv:1012.5598 v1 · 2010-12-27 · 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{WAVBF4BWFPIQUNE2EUIYQNQGYC}

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	2026-05-18T04:32:22.864689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b02a12f0362bd10a349a2511883606c0bad04e4a271c857f0ea63179b7f0ecea

Aliases

arxiv: 1012.5598 · arxiv_version: 1012.5598v1 · doi: 10.48550/arxiv.1012.5598 · pith_short_12: WAVBF4BWFPIQ · pith_short_16: WAVBF4BWFPIQUNE2 · pith_short_8: WAVBF4BW

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/WAVBF4BWFPIQUNE2EUIYQNQGYC \
  | 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: b02a12f0362bd10a349a2511883606c0bad04e4a271c857f0ea63179b7f0ecea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebadf7119ce7f23af28e263a6b01277203b558424275bbed147626b806968594",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-27T11:41:34Z",
    "title_canon_sha256": "d801f59b193995ac435d63fd92e0140e8c60a6e0e3969985ace92ebb74a5feec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5598",
    "kind": "arxiv",
    "version": 1
  }
}