Pith Number

pith:ZN2I4TA4

pith:2017:ZN2I4TA44HMFKZJ7LJGVPFEVAQ

not attested not anchored not stored refs pending

Common zeros of polynomials satisfying a recurrence of order two

Dannielle D.D. Jin, David G.L. Wang

arxiv:1712.04231 v1 · 2017-12-12 · 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{ZN2I4TA44HMFKZJ7LJGVPFEVAQ}

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	2026-05-18T00:28:08.718367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb748e4c1ce1d855653f5a4d579495040fc6ee798a22cd789a186d591c977d08

Aliases

arxiv: 1712.04231 · arxiv_version: 1712.04231v1 · doi: 10.48550/arxiv.1712.04231 · pith_short_12: ZN2I4TA44HMF · pith_short_16: ZN2I4TA44HMFKZJ7 · pith_short_8: ZN2I4TA4

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/ZN2I4TA44HMFKZJ7LJGVPFEVAQ \
  | 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: cb748e4c1ce1d855653f5a4d579495040fc6ee798a22cd789a186d591c977d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9a961df23bacdb8717b9671c40ba595772d0e3afd4461f4d0697874d746ef01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-12T11:06:40Z",
    "title_canon_sha256": "58d339b458d3d646c490ee5db555ed4774e0b078dde6e9b6ddd3b2e71e86da2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04231",
    "kind": "arxiv",
    "version": 1
  }
}