Pith Number

pith:RI43GLTY

pith:2011:RI43GLTYXYFLZAJETC2ANL4T2P

not attested not anchored not stored refs pending

Sharp norm estimate of Schwarzian derivative for a class of convex functions

Stanis{\l}awa Kanas, Toshiyuki Sugawa

arxiv:1102.0338 v1 · 2011-02-02 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RI43GLTYXYFLZAJETC2ANL4T2P}

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	2026-05-18T04:30:05.041505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a39b32e78be0abc812498b406af93d3f12a895a7268fa461f61312eb0fa0d7d

Aliases

arxiv: 1102.0338 · arxiv_version: 1102.0338v1 · doi: 10.48550/arxiv.1102.0338 · pith_short_12: RI43GLTYXYFL · pith_short_16: RI43GLTYXYFLZAJE · pith_short_8: RI43GLTY

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/RI43GLTYXYFLZAJETC2ANL4T2P \
  | 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: 8a39b32e78be0abc812498b406af93d3f12a895a7268fa461f61312eb0fa0d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23b588ef8fc2e453074f1faa005a601578f8be0e9b17009496cb27f52512e2c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-02-02T01:46:24Z",
    "title_canon_sha256": "65ce07aec5d826f1d64bcfd74c577367502d80b11e64274ca06cf790a349f912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0338",
    "kind": "arxiv",
    "version": 1
  }
}