Pith Number

pith:2W2EQZQZ

pith:2008:2W2EQZQZLWID2OAJQPN5QRUWUE

not attested not anchored not stored refs pending

Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings

Lance Bryant

arxiv:0809.0476 v2 · 2008-09-02 · 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{2W2EQZQZLWID2OAJQPN5QRUWUE}

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	2026-05-18T02:47:51.541308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b44866195d903d380983dbd84696a10aeeebfde0e7a847a5cca52d5152685e

Aliases

arxiv: 0809.0476 · arxiv_version: 0809.0476v2 · doi: 10.48550/arxiv.0809.0476 · pith_short_12: 2W2EQZQZLWID · pith_short_16: 2W2EQZQZLWID2OAJ · pith_short_8: 2W2EQZQZ

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/2W2EQZQZLWID2OAJQPN5QRUWUE \
  | 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: d5b44866195d903d380983dbd84696a10aeeebfde0e7a847a5cca52d5152685e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8414424ff5d10b72c2d4a5fd6ad417bc78e956b0bb1df83347190ad6c6489af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-09-02T17:00:50Z",
    "title_canon_sha256": "4ecbf54b16e31160f5fc77df7c1902c34cd538ca6cdc6ee3c7a4b03a306cc545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0476",
    "kind": "arxiv",
    "version": 2
  }
}