Pith Number

pith:JPIIMIDI

pith:2010:JPIIMIDIUYOAE7K4TTKA6MLESM

not attested not anchored not stored refs pending

Hypercyclic Abelian Affine Groups

Adlene Ayadi

arxiv:1012.4901 v4 · 2010-12-22 · 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{JPIIMIDIUYOAE7K4TTKA6MLESM}

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	2026-05-18T04:26:01.331653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd0862068a61c027d5c9cd40f31649311e83ab4a87c26e1299c7bb5ad5805c0

Aliases

arxiv: 1012.4901 · arxiv_version: 1012.4901v4 · doi: 10.48550/arxiv.1012.4901 · pith_short_12: JPIIMIDIUYOA · pith_short_16: JPIIMIDIUYOAE7K4 · pith_short_8: JPIIMIDI

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/JPIIMIDIUYOAE7K4TTKA6MLESM \
  | 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: 4bd0862068a61c027d5c9cd40f31649311e83ab4a87c26e1299c7bb5ad5805c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0873659f616b114a23f58472b4c098f04034746e1d33f4b4ff4747eb551d23f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-22T07:35:17Z",
    "title_canon_sha256": "e377ec6ee68f3a2e228704e0e8a79822b04e1609d06dcde696aa1e53f3b7d6b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4901",
    "kind": "arxiv",
    "version": 4
  }
}