Pith Number

pith:53XWUBZP

pith:2006:53XWUBZPKLFTHBJ4VD3WRIL5NE

not attested not anchored not stored refs pending

The Quiver of the Semigroup Algebra of a Left Regular Band

Franco V. Saliola

arxiv:math/0608698 v1 · 2006-08-28 · math.CO · math.RA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53XWUBZPKLFTHBJ4VD3WRIL5NE}

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	2026-07-04T14:56:09.649886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeef6a072f52cb33853ca8f768a17d69269995383a7c644c8ec7cb4e87fbbc99

Aliases

arxiv: math/0608698 · arxiv_version: math/0608698v1 · doi: 10.48550/arxiv.math/0608698 · pith_short_12: 53XWUBZPKLFT · pith_short_16: 53XWUBZPKLFTHBJ4 · pith_short_8: 53XWUBZP

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/53XWUBZPKLFTHBJ4VD3WRIL5NE \
  | 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: eeef6a072f52cb33853ca8f768a17d69269995383a7c644c8ec7cb4e87fbbc99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c384508bc901b4a3422e8c8e7dc2cf38cebe027f449e119de73396c82a5e0e",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-08-28T20:58:19Z",
    "title_canon_sha256": "5ec826d4b5b82ffee708d202d522bcd92992495981751d3543a9f6e6816a76b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608698",
    "kind": "arxiv",
    "version": 1
  }
}