Pith Number

pith:C3T7QIJF

pith:2020:C3T7QIJFZAD22IMIM45RZ7OA3Z

not attested not anchored not stored refs pending

A new Chebyshev criterion and its application to planar differential systems

Haihua Liang, Jianfeng Huang, Xiang Zhang

arxiv:2011.02857 v1 · 2020-11-05 · 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{C3T7QIJFZAD22IMIM45RZ7OA3Z}

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	2026-07-05T01:49:26.564886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e7f82125c807ad2188673b1cfdc0de51b8f436089b945ccd05e7540677f01b

Aliases

arxiv: 2011.02857 · arxiv_version: 2011.02857v1 · doi: 10.48550/arxiv.2011.02857 · pith_short_12: C3T7QIJFZAD2 · pith_short_16: C3T7QIJFZAD22IMI · pith_short_8: C3T7QIJF

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/C3T7QIJFZAD22IMIM45RZ7OA3Z \
  | 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: 16e7f82125c807ad2188673b1cfdc0de51b8f436089b945ccd05e7540677f01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e1996cf907591e337eab8e43a01b264ccc0d6c442186762e864b8dced5b185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-11-05T14:36:31Z",
    "title_canon_sha256": "36d18a5e82283113d1699a8a3fac2b70a8d7615e62b6347adb60df9d7ec6c4ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.02857",
    "kind": "arxiv",
    "version": 1
  }
}