Pith Number

pith:MHPNJ2LZ

pith:2014:MHPNJ2LZMWYFC3DLAV364V4ZC3

not attested not anchored not stored refs pending

One half of almost symmetric numerical semigroups

Francesco Strazzanti

arxiv:1404.4959 v1 · 2014-04-19 · math.AC · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHPNJ2LZMWYFC3DLAV364V4ZC3}

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	2026-05-18T02:53:52.475562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ded4e97965b0516c6b0577ee579916f1d480fd22e13a0a415b8ace9888a5a8

Aliases

arxiv: 1404.4959 · arxiv_version: 1404.4959v1 · doi: 10.48550/arxiv.1404.4959 · pith_short_12: MHPNJ2LZMWYF · pith_short_16: MHPNJ2LZMWYFC3DL · pith_short_8: MHPNJ2LZ

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/MHPNJ2LZMWYFC3DLAV364V4ZC3 \
  | 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: 61ded4e97965b0516c6b0577ee579916f1d480fd22e13a0a415b8ace9888a5a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f888317cfbb5f7478dfd84916acb2a21fa866016bfbba5a043a3083eeac72e4",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-19T14:52:55Z",
    "title_canon_sha256": "058c3e4f806756d2bab4b3e5fc1118d16770a3717aa5884edebbe65bda3c3fbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4959",
    "kind": "arxiv",
    "version": 1
  }
}