Pith Number

pith:ZJW7ZAY7

pith:2016:ZJW7ZAY77LVIQQH3RAGCC3BGWH

not attested not anchored not stored refs pending

Numerical semigroups II: pseudo-symmetric AA-Semigroups

Ignacio Garc\'ia-Marco, Jorge L. Ram\'irez Alfons\'in, Oystein J. Rodseth

arxiv:1601.07337 v1 · 2016-01-27 · math.AC · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJW7ZAY77LVIQQH3RAGCC3BGWH}

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	2026-05-18T00:52:50.570653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6dfc831ffaea8840fb880c216c26b1e791e26797d92361cc1581401fa4417e

Aliases

arxiv: 1601.07337 · arxiv_version: 1601.07337v1 · doi: 10.48550/arxiv.1601.07337 · pith_short_12: ZJW7ZAY77LVI · pith_short_16: ZJW7ZAY77LVIQQH3 · pith_short_8: ZJW7ZAY7

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/ZJW7ZAY77LVIQQH3RAGCC3BGWH \
  | 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: ca6dfc831ffaea8840fb880c216c26b1e791e26797d92361cc1581401fa4417e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6017291a527731ffabaf6bbce2bcaae550a7b528fe9de29724e49e2eb80c9462",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-27T12:07:43Z",
    "title_canon_sha256": "81aeda158fa78dd5297bd65225cb5285f7c4d1a84d488f1a3db98a8a0b28bfaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07337",
    "kind": "arxiv",
    "version": 1
  }
}