Pith Number

pith:PHJIELGA

pith:2026:PHJIELGAWQTPXAD75DNWNDX5DG

not attested not anchored not stored refs pending

A Backstepping Framework for Unconstrained Accelerated Optimization Algorithms

Chao Xu, Jiaxu Liu, Song Chen

arxiv:2606.27722 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{PHJIELGAWQTPXAD75DNWNDX5DG}

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	2026-06-29T01:14:46.414568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d2822cc0b426fb807fe8db668efd19bbd9a123b87b6baa81337933b949c29f

Aliases

arxiv: 2606.27722 · arxiv_version: 2606.27722v1 · doi: 10.48550/arxiv.2606.27722 · pith_short_12: PHJIELGAWQTP · pith_short_16: PHJIELGAWQTPXAD7 · pith_short_8: PHJIELGA

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/PHJIELGAWQTPXAD75DNWNDX5DG \
  | 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: 79d2822cc0b426fb807fe8db668efd19bbd9a123b87b6baa81337933b949c29f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f08171973b53364d470c2e30b9e36d97822e0287745fad1a832207b313383f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-26T05:11:16Z",
    "title_canon_sha256": "df4a2f34c4e2742f7762f8f9563787294d61378709cf94272b0979320ff6391b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27722",
    "kind": "arxiv",
    "version": 1
  }
}