Pith Number

pith:2PPJQQCR

pith:2017:2PPJQQCRB3MM3RYJVRU6TCLOBH

not attested not anchored not stored refs pending

Orbits of Polynomial Dynamical Systems Modulo Primes

Alina Ostafe, Carlos D'Andrea, Igor E. Shparlinski, Martin Sombra, Mei-Chu Chang

arxiv:1702.01976 v1 · 2017-02-07 · 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{2PPJQQCRB3MM3RYJVRU6TCLOBH}

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	2026-05-18T00:51:06.706064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3de9840510ed8cdc709ac69e9896e09eb8af1ae6c77bb53ecea29d7fe4e00a2

Aliases

arxiv: 1702.01976 · arxiv_version: 1702.01976v1 · doi: 10.48550/arxiv.1702.01976 · pith_short_12: 2PPJQQCRB3MM · pith_short_16: 2PPJQQCRB3MM3RYJ · pith_short_8: 2PPJQQCR

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/2PPJQQCRB3MM3RYJVRU6TCLOBH \
  | 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: d3de9840510ed8cdc709ac69e9896e09eb8af1ae6c77bb53ecea29d7fe4e00a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb88a84286c3d98ce00c7c5b90132aa9bdcce4468113a5b8dc48946a32fda69",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-07T12:08:34Z",
    "title_canon_sha256": "8f09e23e9c2ae372e6e51721d36afda0fcb44dce2b8a91428470cf026c08301a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01976",
    "kind": "arxiv",
    "version": 1
  }
}