Pith Number

pith:E3XVL4EO

pith:2025:E3XVL4EOGHZKYS2FKRDEZ2HU7M

not attested not anchored not stored refs pending

A Triple-Bregman Balanced Primal-Dual Algorithm for Saddle Point Problems

Hongjin He, Jintao Yu

arxiv:2506.07117 v1 · 2025-06-08 · 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{E3XVL4EOGHZKYS2FKRDEZ2HU7M}

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	2026-07-05T11:18:01.826883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ef55f08e31f2ac4b4554464ce8f4fb3ed959e67f4e177fd537c09d5298a851

Aliases

arxiv: 2506.07117 · arxiv_version: 2506.07117v1 · doi: 10.48550/arxiv.2506.07117 · pith_short_12: E3XVL4EOGHZK · pith_short_16: E3XVL4EOGHZKYS2F · pith_short_8: E3XVL4EO

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/E3XVL4EOGHZKYS2FKRDEZ2HU7M \
  | 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: 26ef55f08e31f2ac4b4554464ce8f4fb3ed959e67f4e177fd537c09d5298a851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f448eeb1ced0ea365c04edba31e89c0b1e89d55d0972248d7c8b6a1547491bb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-08T12:59:06Z",
    "title_canon_sha256": "710825449d5996e74046da1f49ee8449867277cc7706985bb1cf54f6e8591b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07117",
    "kind": "arxiv",
    "version": 1
  }
}