Pith Number

pith:245LSO6D

pith:2018:245LSO6DYJV4VGMWPJSCNLQ33R

not attested not anchored not stored refs pending

Almost symmetric numerical semigroups

J\"urgen Herzog, Kei-ichi Watanabe

arxiv:1807.00134 v1 · 2018-06-30 · 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{245LSO6DYJV4VGMWPJSCNLQ33R}

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	2026-05-18T00:11:55.978380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d73ab93bc3c26bca99967a6426ae1bdc4f018882d3d3fc98ee1c4133406b09ce

Aliases

arxiv: 1807.00134 · arxiv_version: 1807.00134v1 · doi: 10.48550/arxiv.1807.00134 · pith_short_12: 245LSO6DYJV4 · pith_short_16: 245LSO6DYJV4VGMW · pith_short_8: 245LSO6D

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/245LSO6DYJV4VGMWPJSCNLQ33R \
  | 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: d73ab93bc3c26bca99967a6426ae1bdc4f018882d3d3fc98ee1c4133406b09ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f8e7e6796e894543939fcb1205dd74537b3f69343c7966bf2507639710518c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-06-30T07:43:45Z",
    "title_canon_sha256": "2a7b1f51cac72b5cbca9039fa70da395cca0b910c9271e710bfac0ff09bc629d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00134",
    "kind": "arxiv",
    "version": 1
  }
}