Pith Number

pith:2OP7JJC4

pith:2026:2OP7JJC4UDQE6LXATXJ5BL2E7L

not attested not anchored not stored refs pending

Fast primal-dual methods for convex-concave bilinear saddle point problems: continuous-time dynamics and discrete algorithms

Xin He, Ya-Ping Fang

arxiv:2606.18724 v1 · 2026-06-17 · 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{2OP7JJC4UDQE6LXATXJ5BL2E7L}

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	2026-06-19T16:11:45.705209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39ff4a45ca0e04f2ee09dd3d0af44fac4ac6c16cfa5f29835de66bc6735787e

Aliases

arxiv: 2606.18724 · arxiv_version: 2606.18724v1 · doi: 10.48550/arxiv.2606.18724 · pith_short_12: 2OP7JJC4UDQE · pith_short_16: 2OP7JJC4UDQE6LXA · pith_short_8: 2OP7JJC4

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/2OP7JJC4UDQE6LXATXJ5BL2E7L \
  | 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: d39ff4a45ca0e04f2ee09dd3d0af44fac4ac6c16cfa5f29835de66bc6735787e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48c806f0958adbae3acbcc4be03b9036784d5f62a16c848b2b1fc5602911dae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-17T06:03:49Z",
    "title_canon_sha256": "54d13acf61438f57da8945b9f39bd9f07b4cebb0e5e4f8c44c2ab780ddcd4ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18724",
    "kind": "arxiv",
    "version": 1
  }
}