Pith Number

pith:AWHC6ZPJ

pith:2013:AWHC6ZPJ3TQ4KD5QJAUM73D3C6

not attested not anchored not stored refs pending

The first elements of the quotient of a numerical semigroup by a positive integer

Alessio Moscariello

arxiv:1312.7185 v3 · 2013-12-27 · 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{AWHC6ZPJ3TQ4KD5QJAUM73D3C6}

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	2026-05-18T02:19:06.189806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

058e2f65e9dce1c50fb04828cfec7b17b2ac0b976311b592e1a64e86f50fffea

Aliases

arxiv: 1312.7185 · arxiv_version: 1312.7185v3 · doi: 10.48550/arxiv.1312.7185 · pith_short_12: AWHC6ZPJ3TQ4 · pith_short_16: AWHC6ZPJ3TQ4KD5Q · pith_short_8: AWHC6ZPJ

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/AWHC6ZPJ3TQ4KD5QJAUM73D3C6 \
  | 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: 058e2f65e9dce1c50fb04828cfec7b17b2ac0b976311b592e1a64e86f50fffea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52662b3b14ecedb8ad51b3ed84b4462404d3ffdc7915466b725321a67359ef9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-27T04:09:27Z",
    "title_canon_sha256": "e7aec4e62478565e87453ac8f481f9ff90637059193d049c5890226a7fd666e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7185",
    "kind": "arxiv",
    "version": 3
  }
}