Pith Number

pith:UEV4WXEW

pith:2018:UEV4WXEWH5OPJ2QUVAXNCCAC2K

not attested not anchored not stored refs pending

Projected-gradient algorithms for generalized equilibrium seeking in Aggregative Games are preconditioned Forward-Backward methods

Giuseppe Belgioioso, Sergio Grammatico

arxiv:1803.10441 v1 · 2018-03-28 · math.OC · cs.GT · cs.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEV4WXEWH5OPJ2QUVAXNCCAC2K}

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	2026-05-18T00:19:55.403785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a12bcb5c963f5cf4ea14a82ed10802d287b59deef04c572ec7078c0e9933c981

Aliases

arxiv: 1803.10441 · arxiv_version: 1803.10441v1 · doi: 10.48550/arxiv.1803.10441 · pith_short_12: UEV4WXEWH5OP · pith_short_16: UEV4WXEWH5OPJ2QU · pith_short_8: UEV4WXEW

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/UEV4WXEWH5OPJ2QUVAXNCCAC2K \
  | 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: a12bcb5c963f5cf4ea14a82ed10802d287b59deef04c572ec7078c0e9933c981

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f29262728fbfa072af86d5a9b20aad906da76db81e03cfcc292d223b18659a",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-28T07:51:43Z",
    "title_canon_sha256": "5c1c4b3dbbee3cc4f4aad21145cca15a6e536b37ae062036037087e9a7d9863b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10441",
    "kind": "arxiv",
    "version": 1
  }
}