Pith Number

pith:EFCOXVP2

pith:2013:EFCOXVP2K7SOIRAPLVG3E5EXSR

not attested not anchored not stored refs pending

On the defining equations of the tangent cone of a numerical semigroup ring

Dumitru I. Stamate, J\"urgen Herzog

arxiv:1308.4644 v3 · 2013-08-21 · 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{EFCOXVP2K7SOIRAPLVG3E5EXSR}

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	2026-05-18T01:12:15.160519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2144ebd5fa57e4e4440f5d4db274979457eb1a741b39a3aa579a1af484dfb8c1

Aliases

arxiv: 1308.4644 · arxiv_version: 1308.4644v3 · doi: 10.48550/arxiv.1308.4644 · pith_short_12: EFCOXVP2K7SO · pith_short_16: EFCOXVP2K7SOIRAP · pith_short_8: EFCOXVP2

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/EFCOXVP2K7SOIRAPLVG3E5EXSR \
  | 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: 2144ebd5fa57e4e4440f5d4db274979457eb1a741b39a3aa579a1af484dfb8c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81afa6ae204db08cd3ca847e565952571ebf728bef84a7e74bc525b10ea02535",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-21T17:46:44Z",
    "title_canon_sha256": "f04725d28b3fcb7575cdfdfa929a112e7006194189eea2e87cb4f190cedb4f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4644",
    "kind": "arxiv",
    "version": 3
  }
}