Pith Number

pith:UMFL6UDI

pith:2026:UMFL6UDIJQ7T4YVMQ7QAFBXC5Q

not attested not anchored not stored refs pending

A Fletcher's Augmented Lagrangian-Based Stochastic First-Order Method for Nonconvex Equality-Constrained Optimization

Qiankun Shi, Xiantao Xiao, Xiao Wang, Yawen Cui

arxiv:2606.28230 v1 · 2026-06-26 · 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{UMFL6UDIJQ7T4YVMQ7QAFBXC5Q}

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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	2026-06-29T01:15:09.926697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30abf50684c3f3e62ac87e00286e2ec331cf9c7c2fe06fb8c6f236938bc2f89

Aliases

arxiv: 2606.28230 · arxiv_version: 2606.28230v1 · doi: 10.48550/arxiv.2606.28230 · pith_short_12: UMFL6UDIJQ7T · pith_short_16: UMFL6UDIJQ7T4YVM · pith_short_8: UMFL6UDI

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/UMFL6UDIJQ7T4YVMQ7QAFBXC5Q \
  | 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: a30abf50684c3f3e62ac87e00286e2ec331cf9c7c2fe06fb8c6f236938bc2f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "385fb72c32ce28d9517137455b2405797b2b26071be37f121b17f96346ae8a7f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-26T16:19:04Z",
    "title_canon_sha256": "a01109f226cc8b505ac453969b7679b2856785224ac39e1b22161c2f7bf8f960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28230",
    "kind": "arxiv",
    "version": 1
  }
}