Pith Number

pith:4WJC4M25

pith:2026:4WJC4M25TCYJT2X67465N6VEYV

not attested not anchored not stored refs pending

Microsecond-Class Powered-Descent Optimization via Exact Condensation and Strong Convex Regularization

Dai Shen, Shengping Gong, Wenbo Li, Ziqi Xu

arxiv:2607.25260 v1 · 2026-07-28 · 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{4WJC4M25TCYJT2X67465N6VEYV}

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	2026-07-29T00:25:11.501694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5922e335d98b099eafeff3dd6faa4c54467bd7077bfb18373d93c1d7a07fb70

Aliases

arxiv: 2607.25260 · arxiv_version: 2607.25260v1 · doi: 10.48550/arxiv.2607.25260 · pith_short_12: 4WJC4M25TCYJ · pith_short_16: 4WJC4M25TCYJT2X6 · pith_short_8: 4WJC4M25

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/4WJC4M25TCYJT2X67465N6VEYV \
  | 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: e5922e335d98b099eafeff3dd6faa4c54467bd7077bfb18373d93c1d7a07fb70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d31099e213dc840a2f157226d086fb10138645269ad605a59db0548047d8f11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-28T04:02:15Z",
    "title_canon_sha256": "986cd01957124264bd40ca470cd34fa8483fcc74c92d647c8b020defd60fc43b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25260",
    "kind": "arxiv",
    "version": 1
  }
}