Pith Number

pith:3ZXA4DCM

pith:2017:3ZXA4DCME3J7SCXR3UVTZQ4QAP

not attested not anchored not stored refs pending

Denominator Bounds and Polynomial Solutions for Systems of q-Recurrences over K(t) for Constant K

Johannes Middeke

arxiv:1705.04188 v1 · 2017-05-11 · math.CO · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZXA4DCME3J7SCXR3UVTZQ4QAP}

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	2026-05-18T00:44:39.539191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de6e0e0c4c26d3f90af1dd2b3cc39003d3d8960f94e090121bb4d23ea32d5737

Aliases

arxiv: 1705.04188 · arxiv_version: 1705.04188v1 · doi: 10.48550/arxiv.1705.04188 · pith_short_12: 3ZXA4DCME3J7 · pith_short_16: 3ZXA4DCME3J7SCXR · pith_short_8: 3ZXA4DCM

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/3ZXA4DCME3J7SCXR3UVTZQ4QAP \
  | 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: de6e0e0c4c26d3f90af1dd2b3cc39003d3d8960f94e090121bb4d23ea32d5737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c41c2b159ffdf61985f7e2b131ac5ff287f384a79d48459d240a77128b731cc",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-11T14:03:44Z",
    "title_canon_sha256": "c51e8f70407531c1298aa46420ee8b5cdb3498e9abf47cc7aa483ec454ad0408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04188",
    "kind": "arxiv",
    "version": 1
  }
}