Pith Number

pith:IZ2B37KB

pith:2018:IZ2B37KBERNSCA2IANUFHL3EGL

not attested not anchored not stored refs pending

On the Efficiency of Nash Equilibria in Aggregative Charging Games

Dario Paccagnan, Francesca Parise, John Lygeros

arxiv:1803.02583 v2 · 2018-03-07 · cs.SY · cs.GT · 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{IZ2B37KBERNSCA2IANUFHL3EGL}

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	2026-05-18T00:02:12.746673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46741dfd41245b210348036853af6432d680b569e45b22ff8c340c8f654083db

Aliases

arxiv: 1803.02583 · arxiv_version: 1803.02583v2 · doi: 10.48550/arxiv.1803.02583 · pith_short_12: IZ2B37KBERNS · pith_short_16: IZ2B37KBERNSCA2I · pith_short_8: IZ2B37KB

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/IZ2B37KBERNSCA2IANUFHL3EGL \
  | 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: 46741dfd41245b210348036853af6432d680b569e45b22ff8c340c8f654083db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8a59929e191d744b3d4df0d53b6660325032ddf5edf9da32027b0d50922482d",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2018-03-07T10:32:13Z",
    "title_canon_sha256": "489dd1724d001fba6be90922c6a2431e755230956f533a9c6484ca1a3d417b2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02583",
    "kind": "arxiv",
    "version": 2
  }
}