Pith Number

pith:SM57LNZY

pith:2018:SM57LNZYPOG6IEEM662WFGJTWJ

not attested not anchored not stored refs pending

On Second-order Conditions for Quasiconvexity and Pseudoconvexity of $\mathcal{C}^{1,1}$-smooth Functions

Pham Duy Khanh, Vo Thanh Phat

arxiv:1810.12783 v1 · 2018-10-30 · 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{SM57LNZYPOG6IEEM662WFGJTWJ}

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	2026-05-18T00:01:54.144647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

933bf5b7387b8de4108cf7b5629933b24a609e84dfe12b600483b8bd0173f233

Aliases

arxiv: 1810.12783 · arxiv_version: 1810.12783v1 · doi: 10.48550/arxiv.1810.12783 · pith_short_12: SM57LNZYPOG6 · pith_short_16: SM57LNZYPOG6IEEM · pith_short_8: SM57LNZY

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/SM57LNZYPOG6IEEM662WFGJTWJ \
  | 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: 933bf5b7387b8de4108cf7b5629933b24a609e84dfe12b600483b8bd0173f233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25aacf8b93785c20b2d8c08939149e1ebf2bd756da345ec0033edede2c0edac2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-30T14:48:36Z",
    "title_canon_sha256": "20e7014968e0a40a703b18c6908d6a82bfc94e4860a838f6e98cf5907c83ebd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12783",
    "kind": "arxiv",
    "version": 1
  }
}