Pith Number

pith:QMKGEHCS

pith:2026:QMKGEHCSVXRGUSPI23FN76SZTX

not attested not anchored not stored refs pending

A Nonmonotone Descent Method for Optimization Problems Defined by Upper-$\mathcal{C}^2 $ Functions over Submanifolds

Christian Kanzow, Leo Lehmann

arxiv:2605.26909 v1 · 2026-05-26 · 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{QMKGEHCSVXRGUSPI23FN76SZTX}

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	2026-05-27T01:06:19.288977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8314621c52ade26a49e8d6cadffa599df2faf48a5269a59f9e0c0891643e982c

Aliases

arxiv: 2605.26909 · arxiv_version: 2605.26909v1 · doi: 10.48550/arxiv.2605.26909 · pith_short_12: QMKGEHCSVXRG · pith_short_16: QMKGEHCSVXRGUSPI · pith_short_8: QMKGEHCS

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/QMKGEHCSVXRGUSPI23FN76SZTX \
  | 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: 8314621c52ade26a49e8d6cadffa599df2faf48a5269a59f9e0c0891643e982c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93230903a048fd303057677d143d5fd2d94e70379f7c6da1a11a5de773c4bc13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-26T12:06:22Z",
    "title_canon_sha256": "ae7f0759699fd293ae6f6c913f8ba5619a29c7f392a3dec568c851e1664a7b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26909",
    "kind": "arxiv",
    "version": 1
  }
}