Pith Number

pith:QCHHOUN7

pith:2026:QCHHOUN7RT46M4XXI5KPOV46XI

not attested not anchored not stored refs pending

Variational convexity: new characterizations, calculus rules, and applications

Radu Ioan Bot, Ziyuan Wang

arxiv:2606.24545 v1 · 2026-06-23 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCHHOUN7RT46M4XXI5KPOV46XI}

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	2026-06-24T01:15:33.469666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

808e7751bf8cf9e672f74754f7579eba3cf1b4d248674abfd846e3ca18837024

Aliases

arxiv: 2606.24545 · arxiv_version: 2606.24545v1 · doi: 10.48550/arxiv.2606.24545 · pith_short_12: QCHHOUN7RT46 · pith_short_16: QCHHOUN7RT46M4XX · pith_short_8: QCHHOUN7

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/QCHHOUN7RT46M4XXI5KPOV46XI \
  | 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: 808e7751bf8cf9e672f74754f7579eba3cf1b4d248674abfd846e3ca18837024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e73e08715cbc4b4e1e315d4d05184bf625a858d27138380a64f0ac7b7dc445",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-23T13:11:06Z",
    "title_canon_sha256": "d735a794168364c70d3f11bae91dd9eaaa9a514df8aa9feb942303a1c17b71da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24545",
    "kind": "arxiv",
    "version": 1
  }
}