Pith Number

pith:DUCFHRIF

pith:2018:DUCFHRIFX5GPUWKWA3AGICDCBR

not attested not anchored not stored refs pending

Splitting gradient algorithms for solving monotone equilibrium problems

Le Dung Muu, Phung Minh Duc, Xuan Thanh Le

arxiv:1804.10372 v1 · 2018-04-27 · 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{DUCFHRIFX5GPUWKWA3AGICDCBR}

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	2026-05-18T00:17:20.964323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d0453c505bf4cfa595606c06408620c73d6db67e8daa8063e586b14ef7ec99f

Aliases

arxiv: 1804.10372 · arxiv_version: 1804.10372v1 · doi: 10.48550/arxiv.1804.10372 · pith_short_12: DUCFHRIFX5GP · pith_short_16: DUCFHRIFX5GPUWKW · pith_short_8: DUCFHRIF

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/DUCFHRIFX5GPUWKWA3AGICDCBR \
  | 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: 1d0453c505bf4cfa595606c06408620c73d6db67e8daa8063e586b14ef7ec99f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "690afd1ae19bbf96cbc754dbfd06efcb47e3776130cb081ccfcc1347b43320a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-04-27T07:54:04Z",
    "title_canon_sha256": "a210d49e5736ccc3f4841510b4b4b9d625f2651563cef9eef8834b756a51fd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10372",
    "kind": "arxiv",
    "version": 1
  }
}