Pith Number

pith:55PGHBCZ

pith:2018:55PGHBCZTLGWYKFGVNWZ2W6IPS

not attested not anchored not stored refs pending

Some applications of differential subordination for certain starlike functions

L. Trojnar-Spelina, R. Kargar

arxiv:1807.03328 v1 · 2018-07-09 · 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{55PGHBCZTLGWYKFGVNWZ2W6IPS}

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	2026-05-18T00:11:10.820343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef5e6384599acd6c28a6ab6d9d5bc87c9686d577bbcb3f8dec3e5021525be6d5

Aliases

arxiv: 1807.03328 · arxiv_version: 1807.03328v1 · doi: 10.48550/arxiv.1807.03328 · pith_short_12: 55PGHBCZTLGW · pith_short_16: 55PGHBCZTLGWYKFG · pith_short_8: 55PGHBCZ

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/55PGHBCZTLGWYKFGVNWZ2W6IPS \
  | 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: ef5e6384599acd6c28a6ab6d9d5bc87c9686d577bbcb3f8dec3e5021525be6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24fc1d44bfd84e528ad7571182b57e48e7d43075358331d55defd4a21eff5b37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-07-09T18:24:29Z",
    "title_canon_sha256": "00125c4253fb8ea48e46a2cf80016c418f3521c1c167bf9d11e475ab07684f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03328",
    "kind": "arxiv",
    "version": 1
  }
}