Pith Number

pith:YFWFSUQC

pith:2012:YFWFSUQC4J6CEQA744WGLZADVU

not attested not anchored not stored refs pending

Univalence of the average of two analytic functions

M. Obradovi\'c, S.Ponnusamy

arxiv:1203.2713 v1 · 2012-03-13 · 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{YFWFSUQC4J6CEQA744WGLZADVU}

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	2026-05-18T04:00:14.838985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c16c595202e27c22401fe72c65e403ad0c56571d95956cf11fa70413a5b4e38b

Aliases

arxiv: 1203.2713 · arxiv_version: 1203.2713v1 · doi: 10.48550/arxiv.1203.2713 · pith_short_12: YFWFSUQC4J6C · pith_short_16: YFWFSUQC4J6CEQA7 · pith_short_8: YFWFSUQC

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/YFWFSUQC4J6CEQA744WGLZADVU \
  | 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: c16c595202e27c22401fe72c65e403ad0c56571d95956cf11fa70413a5b4e38b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4978ad1161ec94b142b7c4e93cc5c80e8cc6aa74c688de92f71d9e85346e4c79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-13T04:45:40Z",
    "title_canon_sha256": "9106c6a8d049aa652b1a5389fcc8b8ed2edaec1e912da0f26c2ab4b12a3b8007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2713",
    "kind": "arxiv",
    "version": 1
  }
}