Pith Number

pith:2HARA5Y3

pith:2011:2HARA5Y3SBNPJI7XINGQVA5C2U

not attested not anchored not stored refs pending

Degree Growth, Linear Independence and Periods of a Class of Rational Dynamical Systems

Alina Ostafe, Igor Shparlinski

arxiv:1109.0575 v1 · 2011-09-02 · math.NT · 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{2HARA5Y3SBNPJI7XINGQVA5C2U}

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	2026-05-18T04:14:07.294089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c110771b905af4a3f7434d0a83a2d53016e28d96d56b6ab61841ec192a1846

Aliases

arxiv: 1109.0575 · arxiv_version: 1109.0575v1 · doi: 10.48550/arxiv.1109.0575 · pith_short_12: 2HARA5Y3SBNP · pith_short_16: 2HARA5Y3SBNPJI7X · pith_short_8: 2HARA5Y3

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/2HARA5Y3SBNPJI7XINGQVA5C2U \
  | 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: d1c110771b905af4a3f7434d0a83a2d53016e28d96d56b6ab61841ec192a1846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4745243074039ee4d4eda2392a52c749d8f32098e9bde17d6f6a49ff949c1d7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-02T23:33:38Z",
    "title_canon_sha256": "c860e79b37c34bbf003f084b6292037bc88fef1011f39dc7c185e8e12486c962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0575",
    "kind": "arxiv",
    "version": 1
  }
}