Pith Number

pith:2GFQAXBO

pith:2018:2GFQAXBOZ77XENZEYMND76GW7O

not attested not anchored not stored refs pending

Almost symmetric numerical semigroups with given Frobenius number and type

I. Ojeda, J.C. Rosales, M.B. Branco

arxiv:1806.11097 v2 · 2018-06-28 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GFQAXBOZ77XENZEYMND76GW7O}

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	2026-05-18T00:00:39.457052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d18b005c2ecfff723724c31a3ff8d6fb82f9698238e3dc7b4fcb25be5f5f2758

Aliases

arxiv: 1806.11097 · arxiv_version: 1806.11097v2 · doi: 10.48550/arxiv.1806.11097 · pith_short_12: 2GFQAXBOZ77X · pith_short_16: 2GFQAXBOZ77XENZE · pith_short_8: 2GFQAXBO

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/2GFQAXBOZ77XENZEYMND76GW7O \
  | 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: d18b005c2ecfff723724c31a3ff8d6fb82f9698238e3dc7b4fcb25be5f5f2758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a0ef19fffba776f167fe737480d79ef90cb5442dff4c9ebd7af880296025db7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-06-28T17:40:45Z",
    "title_canon_sha256": "47fb1c087a66b017f78d50e3f5361966789ea67b5546a035041c4034a2efd392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11097",
    "kind": "arxiv",
    "version": 2
  }
}