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Pith Number

pith:LOD22Z7C

pith:2015:LOD22Z7CNCBX3TZMG65X3G36WR
not attested not anchored not stored refs pending

Concave univalent functions and Dirichlet finite integral

S. Ponnusamy, Y. Abu Muhanna

arxiv:1511.08300 v2 · 2015-11-26 · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LOD22Z7CNCBX3TZMG65X3G36WR}

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 2026-05-18T01:12:59.687648Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5b87ad67e268837dcf2c37bb7d9b7eb44b254c6ed6fcd1bfaf99cdfccaca0e7a

Aliases

arxiv: 1511.08300 · arxiv_version: 1511.08300v2 · doi: 10.48550/arxiv.1511.08300 · pith_short_12: LOD22Z7CNCBX · pith_short_16: LOD22Z7CNCBX3TZM · pith_short_8: LOD22Z7C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LOD22Z7CNCBX3TZMG65X3G36WR \
  | 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: 5b87ad67e268837dcf2c37bb7d9b7eb44b254c6ed6fcd1bfaf99cdfccaca0e7a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bdf0a8b91bd85edd20629e55c023618a05633a9cfa4b997efe30576438e44708",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-26T07:00:29Z",
    "title_canon_sha256": "f3922976c0e0fcb05cbb888e63128bd5e8dd3de4a56b7e1f802bf3d902c4de9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08300",
    "kind": "arxiv",
    "version": 2
  }
}