Pith Number

pith:G2BGAD2Z

pith:2017:G2BGAD2ZFYUFL3Y7JO5P3PS4RD

not attested not anchored not stored refs pending

On differential operators for bivariate Chebyshev polynomials

E.V. Damaskinsky, M.A Sokolov

arxiv:1712.03576 v1 · 2017-12-10 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2BGAD2ZFYUFL3Y7JO5P3PS4RD}

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	2026-05-18T00:28:20.758602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3682600f592e2855ef1f4bbafdbe5c88cb3771c2e46e7065d19e1d98269bc7bd

Aliases

arxiv: 1712.03576 · arxiv_version: 1712.03576v1 · doi: 10.48550/arxiv.1712.03576 · pith_short_12: G2BGAD2ZFYUF · pith_short_16: G2BGAD2ZFYUFL3Y7 · pith_short_8: G2BGAD2Z

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/G2BGAD2ZFYUFL3Y7JO5P3PS4RD \
  | 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: 3682600f592e2855ef1f4bbafdbe5c88cb3771c2e46e7065d19e1d98269bc7bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78541d2b4720dfb5b9a26a863b497588741bdc1d419eebdba6b61e7814d4157c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-10T19:34:21Z",
    "title_canon_sha256": "fd535e930df9825de1354f804c82243c4d6830bd4367acdd290085ed0b77390e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03576",
    "kind": "arxiv",
    "version": 1
  }
}