Pith Number

pith:M5QGJCAY

pith:2008:M5QGJCAYDHSHB4FJ3RSBOGSZXH

not attested not anchored not stored refs pending

Tangent Cone of Numerical Semigroup Rings of Embedding Dimension Three

Yi-Huang Shen

arxiv:0808.2162 v2 · 2008-08-15 · 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{M5QGJCAYDHSHB4FJ3RSBOGSZXH}

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	2026-05-18T04:19:33.662811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676064881819e470f0a9dc64171a59b9c268732755a2b26813e6a41e54347d35

Aliases

arxiv: 0808.2162 · arxiv_version: 0808.2162v2 · doi: 10.48550/arxiv.0808.2162 · pith_short_12: M5QGJCAYDHSH · pith_short_16: M5QGJCAYDHSHB4FJ · pith_short_8: M5QGJCAY

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/M5QGJCAYDHSHB4FJ3RSBOGSZXH \
  | 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: 676064881819e470f0a9dc64171a59b9c268732755a2b26813e6a41e54347d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45685504aa6d66800a508e2203cda05137fd655b305bab45585170e9337bc4d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-08-15T16:33:53Z",
    "title_canon_sha256": "f3e217accbd3b9df73d2767f8f18986b1558c2f589ebca378d207ee52b9e2b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2162",
    "kind": "arxiv",
    "version": 2
  }
}