Pith Number

pith:ZIILJD7W

pith:2019:ZIILJD7WZV45YTE7GDOBNPBOJJ

not attested not anchored not stored refs pending

The Efficiency of Generalized Nash and Variational Equilibria

Ankur A. Kulkarni

arxiv:1908.00702 v1 · 2019-08-02 · cs.GT · cs.SY · eess.SY · 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{ZIILJD7WZV45YTE7GDOBNPBOJJ}

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	2026-07-04T23:51:08.712791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca10b48ff6cd79dc4c9f30dc16bc2e4a7ba3c68ef456702f7f0b7543a7f67c4f

Aliases

arxiv: 1908.00702 · arxiv_version: 1908.00702v1 · doi: 10.48550/arxiv.1908.00702 · pith_short_12: ZIILJD7WZV45 · pith_short_16: ZIILJD7WZV45YTE7 · pith_short_8: ZIILJD7W

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/ZIILJD7WZV45YTE7GDOBNPBOJJ \
  | 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: ca10b48ff6cd79dc4c9f30dc16bc2e4a7ba3c68ef456702f7f0b7543a7f67c4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd02ab1dec88388b06ac6725957c264dbfa6632afdb4ccbb5929db551c6b624f",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2019-08-02T04:37:06Z",
    "title_canon_sha256": "72527a10973edd0eaf9b2fe68f7b12de3fafc9249de8fc9012e157ba7315c032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00702",
    "kind": "arxiv",
    "version": 1
  }
}