Pith Number

pith:ZYWV7VMJ

pith:2026:ZYWV7VMJMIQ3TC2XO7QFHCE5VR

not attested not anchored not stored refs pending

Pure Nash Equilibria in Graphical Games of Bounded Width Revisited

Michael Lampis, Yiren Lu

arxiv:2607.07627 v1 · 2026-07-08 · cs.DS · cs.CC · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYWV7VMJMIQ3TC2XO7QFHCE5VR}

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	2026-07-09T01:20:37.193550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2d5fd5896221b98b5777e053889dac55ac3dd79fa8d2c0db31e6fef8a90c21

Aliases

arxiv: 2607.07627 · arxiv_version: 2607.07627v1 · doi: 10.48550/arxiv.2607.07627 · pith_short_12: ZYWV7VMJMIQ3 · pith_short_16: ZYWV7VMJMIQ3TC2X · pith_short_8: ZYWV7VMJ

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/ZYWV7VMJMIQ3TC2XO7QFHCE5VR \
  | 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: ce2d5fd5896221b98b5777e053889dac55ac3dd79fa8d2c0db31e6fef8a90c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69c8be4449c0a449dafddd14b2dabab31937c19de970c6aa77df1fd671d5a66",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-08T16:43:19Z",
    "title_canon_sha256": "7561704e318a9070399545447fa1baf973ae9a1ebe3b4dec665850f9f44a5ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07627",
    "kind": "arxiv",
    "version": 1
  }
}