Pith Number

pith:4JVYABM7

pith:2016:4JVYABM7WJNJATN2MGIUGQJJKU

not attested not anchored not stored refs pending

Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions

Petr Chunaev, Vladimir Danchenko

arxiv:1611.03485 v2 · 2016-11-10 · 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{4JVYABM7WJNJATN2MGIUGQJJKU}

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	2026-05-18T00:25:42.365075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26b80059fb25a904dba61914341295504be9847f2592f52bf5053c20904bd8f

Aliases

arxiv: 1611.03485 · arxiv_version: 1611.03485v2 · doi: 10.48550/arxiv.1611.03485 · pith_short_12: 4JVYABM7WJNJ · pith_short_16: 4JVYABM7WJNJATN2 · pith_short_8: 4JVYABM7

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/4JVYABM7WJNJATN2MGIUGQJJKU \
  | 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: e26b80059fb25a904dba61914341295504be9847f2592f52bf5053c20904bd8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9699cdf7dc04f1ba5d8ccf930b31404faf583a797ded23da33d8db6814eab7d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-10T20:43:20Z",
    "title_canon_sha256": "7e72f985482405442c7dcdf6af88b498f2b937e0a3b79cc67d196202513a4a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03485",
    "kind": "arxiv",
    "version": 2
  }
}