Pith Number

pith:FSQOGNQE

pith:2013:FSQOGNQEAEWUTQMV3SXE7IYQ32

not attested not anchored not stored refs pending

Hypercyclic abelian semigroups of affine maps on C^n

Yahya N'Dao

arxiv:1309.1725 v1 · 2013-09-06 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSQOGNQEAEWUTQMV3SXE7IYQ32}

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	2026-05-18T03:13:58.802896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ca0e33604012d49c195dcae4fa310deb4f0730a7d0026b5b015128095ffe0df

Aliases

arxiv: 1309.1725 · arxiv_version: 1309.1725v1 · doi: 10.48550/arxiv.1309.1725 · pith_short_12: FSQOGNQEAEWU · pith_short_16: FSQOGNQEAEWUTQMV · pith_short_8: FSQOGNQE

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/FSQOGNQEAEWUTQMV3SXE7IYQ32 \
  | 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: 2ca0e33604012d49c195dcae4fa310deb4f0730a7d0026b5b015128095ffe0df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c97e393e01a3c513fa9aad036917bce91a01da39935da9ad7ad7d964652ad571",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-06T18:34:54Z",
    "title_canon_sha256": "87cd611c4a17b58296284b869bdb7f7cca590132482aba64eb08a03cc60f6bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1725",
    "kind": "arxiv",
    "version": 1
  }
}