Pith Number

pith:HRLTJG6F

pith:2010:HRLTJG6F5DR54NXLTBD3VFNJHW

not attested not anchored not stored refs pending

Domains of variability of Laurent coefficients and the convex hull for the family of concave univalent functions

B. Bhowmik, K-J. Wirths, S. Ponnusamy

arxiv:1008.4859 v1 · 2010-08-28 · 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{HRLTJG6F5DR54NXLTBD3VFNJHW}

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	2026-05-18T04:41:43.545575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c57349bc5e8e3de36eb9847ba95a93d847bc8b261234c6ba1f4539b7026f54b

Aliases

arxiv: 1008.4859 · arxiv_version: 1008.4859v1 · doi: 10.48550/arxiv.1008.4859 · pith_short_12: HRLTJG6F5DR5 · pith_short_16: HRLTJG6F5DR54NXL · pith_short_8: HRLTJG6F

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/HRLTJG6F5DR54NXLTBD3VFNJHW \
  | 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: 3c57349bc5e8e3de36eb9847ba95a93d847bc8b261234c6ba1f4539b7026f54b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c8cd7360587a42e3dfe79cde6dd3776d468978413b0ac15e73d2f75d7cf118",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-08-28T12:41:57Z",
    "title_canon_sha256": "56ce65077de081f723dabf4a194c702cfe51ca50a59eead20138fb4a27e8b08f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4859",
    "kind": "arxiv",
    "version": 1
  }
}