Pith Number

pith:CCBRENKS

pith:2026:CCBRENKSTTXHLCXMRKYB2WTXV6

not attested not anchored not stored refs pending

On directional local minimality and directional optimality conditions in nonsmooth optimization

Patrick Mehlitz, Timm Baake

arxiv:2607.00882 v1 · 2026-07-01 · 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{CCBRENKSTTXHLCXMRKYB2WTXV6}

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	2026-07-02T01:18:22.146077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10831235529cee758aec8ab01d5a77af98fee7faa415114fca2f7c33553f5474

Aliases

arxiv: 2607.00882 · arxiv_version: 2607.00882v1 · doi: 10.48550/arxiv.2607.00882 · pith_short_12: CCBRENKSTTXH · pith_short_16: CCBRENKSTTXHLCXM · pith_short_8: CCBRENKS

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/CCBRENKSTTXHLCXMRKYB2WTXV6 \
  | 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: 10831235529cee758aec8ab01d5a77af98fee7faa415114fca2f7c33553f5474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b8c546fec1e365dc569b85439bcc6a7a07aa3ac7c0db8e38bfbfe55f21a293",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-01T12:47:38Z",
    "title_canon_sha256": "f27966d1e6a2b27bc63d565b5593c91eebca0e0710fcb733ec1dca68239061b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00882",
    "kind": "arxiv",
    "version": 1
  }
}