Pith Number

pith:ULNM56T3

pith:2011:ULNM56T3NP3DZX3HWLL6PNNWLT

not attested not anchored not stored refs pending

On Exponential Convergence of Gegenbauer Interpolation and Spectral Differentiation

Li-Lian Wang, Xiaodan Zhao, Ziqing Xie

arxiv:1109.5509 v1 · 2011-09-26 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULNM56T3NP3DZX3HWLL6PNNWLT}

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	2026-05-18T04:12:19.616308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2dacefa7b6bf63cdf67b2d7e7b5b65cf481efc5c4dfa335913a6cd11c3dcf83

Aliases

arxiv: 1109.5509 · arxiv_version: 1109.5509v1 · doi: 10.48550/arxiv.1109.5509 · pith_short_12: ULNM56T3NP3D · pith_short_16: ULNM56T3NP3DZX3H · pith_short_8: ULNM56T3

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/ULNM56T3NP3DZX3HWLL6PNNWLT \
  | 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: a2dacefa7b6bf63cdf67b2d7e7b5b65cf481efc5c4dfa335913a6cd11c3dcf83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c341088bda27b60c7588a5748246e36bc6dfae419b817fd69bc0340924de8b36",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-09-26T09:56:45Z",
    "title_canon_sha256": "dcfcc3034a6dd80d3b384a261697fcbc04d326e0808f402e2d530ebd890f204f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5509",
    "kind": "arxiv",
    "version": 1
  }
}