Pith Number

pith:Z6ICEXGW

pith:2019:Z6ICEXGWYYTN53RGZZOKCL4XYL

not attested not anchored not stored refs pending

Algebraic independence of certain entire functions of two variables generated by linear recurrences

Haruki Ide

arxiv:1908.06289 v1 · 2019-08-17 · 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{Z6ICEXGWYYTN53RGZZOKCL4XYL}

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	2026-07-04T23:58:14.249831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf90225cd6c626deee26ce5ca12f97c2c345f81f8672844224e2e21e3185d58b

Aliases

arxiv: 1908.06289 · arxiv_version: 1908.06289v1 · doi: 10.48550/arxiv.1908.06289 · pith_short_12: Z6ICEXGWYYTN · pith_short_16: Z6ICEXGWYYTN53RG · pith_short_8: Z6ICEXGW

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/Z6ICEXGWYYTN53RGZZOKCL4XYL \
  | 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: cf90225cd6c626deee26ce5ca12f97c2c345f81f8672844224e2e21e3185d58b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e270584e9d8ae4fa9b8c997a055a5f01c61058c2c20263db01c9abcfb1e763e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-17T10:48:15Z",
    "title_canon_sha256": "bac72541dcf15db9481208a9849b5e7839e45dda010b3f3dcd365817157bbbea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06289",
    "kind": "arxiv",
    "version": 1
  }
}