Pith Number

pith:NYDRTVGW

pith:2013:NYDRTVGWMS3IEWZEFO6DHLOKNA

not attested not anchored not stored refs pending

On $L^1$-estimates of derivatives of univalent rational functions

Anton D. Baranov, Konstantin Yu. Fedorovskiy

arxiv:1312.3312 v4 · 2013-12-11 · 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{NYDRTVGWMS3IEWZEFO6DHLOKNA}

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	2026-05-18T01:30:01.909695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e0719d4d664b6825b242bbc33adca68146e068e8c06473696d186bc3b595408

Aliases

arxiv: 1312.3312 · arxiv_version: 1312.3312v4 · doi: 10.48550/arxiv.1312.3312 · pith_short_12: NYDRTVGWMS3I · pith_short_16: NYDRTVGWMS3IEWZE · pith_short_8: NYDRTVGW

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/NYDRTVGWMS3IEWZEFO6DHLOKNA \
  | 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: 6e0719d4d664b6825b242bbc33adca68146e068e8c06473696d186bc3b595408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56e7e85d7b58011a7c9c29378729e1aab30d4e1c37bd2c2e31cd470bf282818",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-12-11T20:39:17Z",
    "title_canon_sha256": "d87bc1d754b582102580d71b03db433d16e3fa48edb8d1ca2ba2f4e701945a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3312",
    "kind": "arxiv",
    "version": 4
  }
}