Pith Number

pith:XYC5LBSX

pith:2018:XYC5LBSXLNQ4P44KWBW2ZZ4NCO

not attested not anchored not stored refs pending

Characterizations of Nonsmooth Robustly Quasiconvex Functions

Hoa T. Bui, Pham Duy Khanh, Tran Thi Tu Trinh

arxiv:1804.06983 v1 · 2018-04-19 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYC5LBSXLNQ4P44KWBW2ZZ4NCO}

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	2026-05-18T00:18:04.656668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be05d586575b61c7f38ab06dace78d139ba7a4e01fb35898eb4907972a0e57bc

Aliases

arxiv: 1804.06983 · arxiv_version: 1804.06983v1 · doi: 10.48550/arxiv.1804.06983 · pith_short_12: XYC5LBSXLNQ4 · pith_short_16: XYC5LBSXLNQ4P44K · pith_short_8: XYC5LBSX

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/XYC5LBSXLNQ4P44KWBW2ZZ4NCO \
  | 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: be05d586575b61c7f38ab06dace78d139ba7a4e01fb35898eb4907972a0e57bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d07002bd79b37670d31be511457c10d9344d2ca66f1f5220d0156c26aebced1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-19T02:50:58Z",
    "title_canon_sha256": "5b0d149b2dc310cbfb07191b08defb78c3611fd0db7d7e17079f8ca97ff2450a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06983",
    "kind": "arxiv",
    "version": 1
  }
}