Pith Number

pith:3UEY6WAQ

pith:2006:3UEY6WAQMJSIND3CRQWIWDYAPP

not attested not anchored not stored refs pending

Comparison Theorems of Kolmogorov Type for Classes Defined by Cyclic Variation Diminishing Operators and Their Application

Gensun Fang, Xuehua Li

arxiv:math/0602251 v1 · 2006-02-12 · math.NA · cs.NA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UEY6WAQMJSIND3CRQWIWDYAPP}

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	2026-06-03T22:06:18.959257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd098f58106264868f628c2c8b0f007bd7f2024a05d890c8a4ff391c87607f70

Aliases

arxiv: math/0602251 · arxiv_version: math/0602251v1 · doi: 10.48550/arxiv.math/0602251 · pith_short_12: 3UEY6WAQMJSI · pith_short_16: 3UEY6WAQMJSIND3C · pith_short_8: 3UEY6WAQ

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/3UEY6WAQMJSIND3CRQWIWDYAPP \
  | 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: dd098f58106264868f628c2c8b0f007bd7f2024a05d890c8a4ff391c87607f70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f1287a6163e1b078fa81559f0c9992f12598b6e36b55604a12152293b1647d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2006-02-12T09:57:24Z",
    "title_canon_sha256": "3bdcfb9fd5e197cf315bf554b9b40068fe93ff3b65b88c2516d959d7c7d9e206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602251",
    "kind": "arxiv",
    "version": 1
  }
}