Pith Number

pith:IJZI2GZN

pith:2015:IJZI2GZNXDJ43WRCTIL6OILX3S

not attested not anchored not stored refs pending

Dynamics of split polynomial maps: uniform bounds for periods and applications

Dragos Ghioca, Khoa D. Nguyen

arxiv:1510.05016 v1 · 2015-10-16 · math.NT · math.AG · 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{IJZI2GZNXDJ43WRCTIL6OILX3S}

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	2026-05-18T01:29:53.409459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42728d1b2db8d3cdda229a17e72177dc82b8e0cb2ca0b7758557348e2fe192ec

Aliases

arxiv: 1510.05016 · arxiv_version: 1510.05016v1 · doi: 10.48550/arxiv.1510.05016 · pith_short_12: IJZI2GZNXDJ4 · pith_short_16: IJZI2GZNXDJ43WRC · pith_short_8: IJZI2GZN

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/IJZI2GZNXDJ43WRCTIL6OILX3S \
  | 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: 42728d1b2db8d3cdda229a17e72177dc82b8e0cb2ca0b7758557348e2fe192ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c0c597aaf197d84842368f703d290e8b514879f258c9e98dd40e6749c55cfa",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-16T20:18:42Z",
    "title_canon_sha256": "1e7243d3002a75fde2de13d40f0a0731d68785d9d3fae2c7988f75f2412dbd96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05016",
    "kind": "arxiv",
    "version": 1
  }
}