Pith Number

pith:TNAN4Y6W

pith:2016:TNAN4Y6WBCJ6RQXT7VSTSMUPHX

not attested not anchored not stored refs pending

Bounds for Extreme Zeros of Quasi-orthogonal Ultraspherical Polynomials

Kathy Driver, Martin E. Muldoon

arxiv:1602.00044 v2 · 2016-01-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNAN4Y6WBCJ6RQXT7VSTSMUPHX}

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	2026-05-18T01:20:58.606205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b40de63d60893e8c2f3fd6539328f3dea1d24723e5d5d050f36c517d193f775

Aliases

arxiv: 1602.00044 · arxiv_version: 1602.00044v2 · doi: 10.48550/arxiv.1602.00044 · pith_short_12: TNAN4Y6WBCJ6 · pith_short_16: TNAN4Y6WBCJ6RQXT · pith_short_8: TNAN4Y6W

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/TNAN4Y6WBCJ6RQXT7VSTSMUPHX \
  | 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: 9b40de63d60893e8c2f3fd6539328f3dea1d24723e5d5d050f36c517d193f775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2bac14f0cf2a3a1770ac72aff1fff6be1b6c9e0a60836d250e1389175467390",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-30T00:26:42Z",
    "title_canon_sha256": "6311de3dceea8d3e1e898c1e8be46b3cc914e02fd1abdc952c69a0da78b2906c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00044",
    "kind": "arxiv",
    "version": 2
  }
}