Pith Number

pith:3GMMBGN7

pith:2017:3GMMBGN7M5Y2OROP6ED426FOWI

not attested not anchored not stored refs pending

Pseudo-Frobenius numbers versus defining ideals in numerical semigroup rings

Do Van Kien, Hoang Le Truong, Naoyuki Matsuoka, Shiro Goto

arxiv:1705.06902 v1 · 2017-05-19 · 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{3GMMBGN7M5Y2OROP6ED426FOWI}

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	2026-05-18T00:44:10.988212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d998c099bf6771a745cff107cd78aeb20a16cbda6aee596d3d62b95fbea7263b

Aliases

arxiv: 1705.06902 · arxiv_version: 1705.06902v1 · doi: 10.48550/arxiv.1705.06902 · pith_short_12: 3GMMBGN7M5Y2 · pith_short_16: 3GMMBGN7M5Y2OROP · pith_short_8: 3GMMBGN7

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/3GMMBGN7M5Y2OROP6ED426FOWI \
  | 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: d998c099bf6771a745cff107cd78aeb20a16cbda6aee596d3d62b95fbea7263b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d7d5fef158e65345f4d22367702329c5b94ec7df75adc82b93d3b5cb37112d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-19T09:28:14Z",
    "title_canon_sha256": "737af9ec4651260dcfdb03f8433f2bb1a6d3b6ff5c69a925deaa54653706a280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06902",
    "kind": "arxiv",
    "version": 1
  }
}