Pith Number

pith:ZA7X6DHD

pith:2020:ZA7X6DHDOQG4RW4IH3HDW6KH4Q

not attested not anchored not stored refs pending

Properties of Chebyshev polynomials

N. Karjanto

arxiv:2002.01342 v1 · 2020-02-03 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZA7X6DHDOQG4RW4IH3HDW6KH4Q}

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.

Cited by

1 paper in Pith

"KAN you hear me?" Exploring Kolmogorov-Arnold Networks for Spoken Language Understanding

Receipt and verification

First computed	2026-07-05T00:38:17.140218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c83f7f0ce3740dc8db883ece3b7947e421e9165804829c349e4dadd675097879

Aliases

arxiv: 2002.01342 · arxiv_version: 2002.01342v1 · doi: 10.48550/arxiv.2002.01342 · pith_short_12: ZA7X6DHDOQG4 · pith_short_16: ZA7X6DHDOQG4RW4I · pith_short_8: ZA7X6DHD

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/ZA7X6DHDOQG4RW4IH3HDW6KH4Q \
  | 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: c83f7f0ce3740dc8db883ece3b7947e421e9165804829c349e4dadd675097879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63df9fdc346a93b7d269ef45e93bb41e1875f5fdaf41fd376c0b52065472d17b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2020-02-03T06:40:14Z",
    "title_canon_sha256": "34597a6dd38733e1df27eb0fbfab9c7b0b612150d343aa30eb66840f5188338a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.01342",
    "kind": "arxiv",
    "version": 1
  }
}