Pith Number

pith:N7XPLQ4J

pith:2020:N7XPLQ4JG377JFTWTN2QPRWGPN

not attested not anchored not stored refs pending

Irrationality of growth constants associated with polynomial recursions

Stephan Wagner, Volker Ziegler

arxiv:2004.09353 v2 · 2020-04-20 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7XPLQ4JG377JFTWTN2QPRWGPN}

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.

Cited by

1 paper in Pith

Exercises in Iterational Asymptotics

Receipt and verification

First computed	2026-07-05T01:25:12.684852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6feef5c38936fff496769b7507c6c67b569c9adc1bb18b0cf7a70dd05698bd53

Aliases

arxiv: 2004.09353 · arxiv_version: 2004.09353v2 · doi: 10.48550/arxiv.2004.09353 · pith_short_12: N7XPLQ4JG377 · pith_short_16: N7XPLQ4JG377JFTW · pith_short_8: N7XPLQ4J

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/N7XPLQ4JG377JFTWTN2QPRWGPN \
  | 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: 6feef5c38936fff496769b7507c6c67b569c9adc1bb18b0cf7a70dd05698bd53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09e58448daafb012bbcb899bdf89fdc29268031f409f8ed46a5f6c8455a681ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-04-20T14:53:34Z",
    "title_canon_sha256": "c2eac74f77306a22fc7e71c6386929749e957666d707b0de638416e7a576fafd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09353",
    "kind": "arxiv",
    "version": 2
  }
}