Pith Number

pith:SSUSBGXE

pith:2012:SSUSBGXE72FAD3R7DIAEWP3OO5

not attested not anchored not stored refs pending

Semigroups embeddable in hyperplane face monoids

Benjamin Steinberg, Franco Saliola, Stuart Margolis

arxiv:1212.6683 v1 · 2012-12-30 · math.GR · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSUSBGXE72FAD3R7DIAEWP3OO5}

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	2026-05-18T03:37:31.225405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a9209ae4fe8a01ee3f1a004b3f6e77661e3f5fbbd96b6f2b5b183e25f415a9

Aliases

arxiv: 1212.6683 · arxiv_version: 1212.6683v1 · doi: 10.48550/arxiv.1212.6683 · pith_short_12: SSUSBGXE72FA · pith_short_16: SSUSBGXE72FAD3R7 · pith_short_8: SSUSBGXE

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/SSUSBGXE72FAD3R7DIAEWP3OO5 \
  | 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: 94a9209ae4fe8a01ee3f1a004b3f6e77661e3f5fbbd96b6f2b5b183e25f415a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f00fc10c228d7517374ef135c784e86c83aea6f4a3732ccddd21d290a389fc",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-30T03:31:28Z",
    "title_canon_sha256": "5c52973d321c0a21adc9ad14c649c16da2c7b4f46fab2945900764a73b34dec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6683",
    "kind": "arxiv",
    "version": 1
  }
}