Pith Number

pith:UHA74W47

pith:2018:UHA74W47XIXAQLCF2WJ2LRO7ZR

not attested not anchored not stored refs pending

Zeros of polynomials with four-term recurrence and linear coefficients

Andres Zumba, Khang Tran

arxiv:1808.07133 v1 · 2018-08-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHA74W47XIXAQLCF2WJ2LRO7ZR}

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	2026-05-18T00:07:29.866508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1c1fe5b9fba2e082c45d593a5c5dfcc59bf2f6cca2e24a29519b6eff0e95e01

Aliases

arxiv: 1808.07133 · arxiv_version: 1808.07133v1 · doi: 10.48550/arxiv.1808.07133 · pith_short_12: UHA74W47XIXA · pith_short_16: UHA74W47XIXAQLCF · pith_short_8: UHA74W47

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/UHA74W47XIXAQLCF2WJ2LRO7ZR \
  | 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: a1c1fe5b9fba2e082c45d593a5c5dfcc59bf2f6cca2e24a29519b6eff0e95e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84671221c8d3e77aceca1e438fea42ed9f6f276e8c02f9baab0e6e16e4bb3812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-08-21T21:17:46Z",
    "title_canon_sha256": "5795afb5002007bf9fb6e371e7eaa1178ff75b3d61efbd50d4a76124caaacc35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07133",
    "kind": "arxiv",
    "version": 1
  }
}