Pith Number

pith:DSPAGNJI

pith:2016:DSPAGNJIBOA5F5G4HOQWYHXHQ6

not attested not anchored not stored refs pending

Automated Proof (or Disproof) of Linear Recurrences Satisfied by Pisot Sequences

Doron Zeilberger, N. J. A. Sloane, Shalosh B. Ekhad

arxiv:1609.05570 v3 · 2016-09-19 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSPAGNJIBOA5F5G4HOQWYHXHQ6}

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	2026-05-18T01:03:48.224902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c9e0335280b81d2f4dc3ba16c1ee787909f53445b48063fda1d7bbc49c1aa9f

Aliases

arxiv: 1609.05570 · arxiv_version: 1609.05570v3 · doi: 10.48550/arxiv.1609.05570 · pith_short_12: DSPAGNJIBOA5 · pith_short_16: DSPAGNJIBOA5F5G4 · pith_short_8: DSPAGNJI

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/DSPAGNJIBOA5F5G4HOQWYHXHQ6 \
  | 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: 1c9e0335280b81d2f4dc3ba16c1ee787909f53445b48063fda1d7bbc49c1aa9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "200d15fa97ef02bd5a99555d8a99f15470d465d46b611f3aa63f622fc8c94233",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-19T00:06:27Z",
    "title_canon_sha256": "ea31ddd81e5817c644c03440d084b88cae529679c725000023a706b34df76a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05570",
    "kind": "arxiv",
    "version": 3
  }
}