Pith Number

pith:BRAFCQYN

pith:2011:BRAFCQYNC7UUXO3RKLVIZDD3LC

not attested not anchored not stored refs pending

Variability regions of close-to-convex functions

Li-Mei Wang, Takao Kato, Toshiyuki Sugawa

arxiv:1108.0461 v2 · 2011-08-02 · 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{BRAFCQYNC7UUXO3RKLVIZDD3LC}

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	2026-05-18T03:45:01.028851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c4051430d17e94bbb7152ea8c8c7b58808d8eca28086d3952846f4ffb371d1f

Aliases

arxiv: 1108.0461 · arxiv_version: 1108.0461v2 · doi: 10.48550/arxiv.1108.0461 · pith_short_12: BRAFCQYNC7UU · pith_short_16: BRAFCQYNC7UUXO3R · pith_short_8: BRAFCQYN

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/BRAFCQYNC7UUXO3RKLVIZDD3LC \
  | 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: 0c4051430d17e94bbb7152ea8c8c7b58808d8eca28086d3952846f4ffb371d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad274661f3a45b7b8b43d3de19d36dd71af7fd54d66728c99cbf0a4989863ae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-08-02T02:25:28Z",
    "title_canon_sha256": "fb3599ae6fca5c63d7ead2928b6da92022f2e789220e1fa0c856b79fbe9f4690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0461",
    "kind": "arxiv",
    "version": 2
  }
}