Pith Number

pith:5JL5VKRX

pith:2025:5JL5VKRXYS2IS5WTTRJQ6RHPQB

not attested not anchored not stored refs pending

Frugal forward-backward splitting methods with deviations

Haowen Zheng, Jing Zhao, Qiao-Li Dong, Xiaolong Qin, Yongyu Fu

arxiv:2509.03865 v1 · 2025-09-04 · 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{5JL5VKRXYS2IS5WTTRJQ6RHPQB}

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	2026-07-05T12:04:48.230164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea57daaa37c4b48976d39c530f44ef805f7cc6cdc7ad4cc4b0acc8e17eb91889

Aliases

arxiv: 2509.03865 · arxiv_version: 2509.03865v1 · doi: 10.48550/arxiv.2509.03865 · pith_short_12: 5JL5VKRXYS2I · pith_short_16: 5JL5VKRXYS2IS5WT · pith_short_8: 5JL5VKRX

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/5JL5VKRXYS2IS5WTTRJQ6RHPQB \
  | 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: ea57daaa37c4b48976d39c530f44ef805f7cc6cdc7ad4cc4b0acc8e17eb91889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09247671a10702b054154b28fd3674787e5c4b53dceb571364063d7786980046",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-04T03:55:11Z",
    "title_canon_sha256": "1631a2869b03e60a365aa24e9f926d56b15d3aacdba3bcd353a8ed722c2d6a5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03865",
    "kind": "arxiv",
    "version": 1
  }
}