Pith Number

pith:PQ57743Y

pith:2018:PQ57743YKMZA5663GUWQSK7XXD

not attested not anchored not stored refs pending

Loewner chain and quasiconformal extension of some classes of univalent functions

Bappaditya Bhowmik, Goutam Satpati

arxiv:1809.07135 v1 · 2018-09-19 · 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{PQ57743YKMZA5663GUWQSK7XXD}

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	2026-05-18T00:05:20.610002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3bfff37853320efbdb352d092bf7b8e086d302d5459ca7031fd4333269130a

Aliases

arxiv: 1809.07135 · arxiv_version: 1809.07135v1 · doi: 10.48550/arxiv.1809.07135 · pith_short_12: PQ57743YKMZA · pith_short_16: PQ57743YKMZA5663 · pith_short_8: PQ57743Y

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/PQ57743YKMZA5663GUWQSK7XXD \
  | 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: 7c3bfff37853320efbdb352d092bf7b8e086d302d5459ca7031fd4333269130a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f05e624c0a04c9f9d1e1b9b77276be3b8365491c2ac4f9362289d2a064fc53d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-09-19T12:06:52Z",
    "title_canon_sha256": "bd59482adb1b73bf9b2396c2a3c22d312974387c235feb61d3655a2ee444e534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07135",
    "kind": "arxiv",
    "version": 1
  }
}