Pith Number

pith:ZMPIDYVS

pith:2019:ZMPIDYVSSPARXINFWEUSE2Y5KR

not attested not anchored not stored refs pending

Exponential starlikeness and convexity of confluent hypergeometric, Lommel and Struve functions

Adiba Naz, Sumit Nagpal, V. Ravichandran

arxiv:1908.07266 v1 · 2019-08-20 · 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{ZMPIDYVSSPARXINFWEUSE2Y5KR}

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	2026-07-04T23:58:32.402820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb1e81e2b293c11ba1a5b129226b1d544ad525a238a2d492e16f1ddf93e1ed7e

Aliases

arxiv: 1908.07266 · arxiv_version: 1908.07266v1 · doi: 10.48550/arxiv.1908.07266 · pith_short_12: ZMPIDYVSSPAR · pith_short_16: ZMPIDYVSSPARXINF · pith_short_8: ZMPIDYVS

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/ZMPIDYVSSPARXINFWEUSE2Y5KR \
  | 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: cb1e81e2b293c11ba1a5b129226b1d544ad525a238a2d492e16f1ddf93e1ed7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa4f37ad0ad0420dc4d51ac607b150e376aeca0b61aa6060f265fa48f40e416",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-20T10:47:19Z",
    "title_canon_sha256": "0bebebec724f974a4e3eb30f786ed57118064c98dcc83416d109f6908c32d455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07266",
    "kind": "arxiv",
    "version": 1
  }
}