Pith Number

pith:PXLL6ECP

pith:2026:PXLL6ECPCW4ICTRNHABRKKHPBR

not attested not anchored not stored refs pending

Hypergraph Minority Game with Local Hyperedge Payoffs

Fanyuan Meng, Yihang Zhu

arxiv:2607.01719 v1 · 2026-07-02 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXLL6ECPCW4ICTRNHABRKKHPBR}

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	2026-07-03T01:17:27.737187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd6bf104f15b8814e2d38031528ef0c432fab7e9c0943be7cff06d906d52315

Aliases

arxiv: 2607.01719 · arxiv_version: 2607.01719v1 · doi: 10.48550/arxiv.2607.01719 · pith_short_12: PXLL6ECPCW4I · pith_short_16: PXLL6ECPCW4ICTRN · pith_short_8: PXLL6ECP

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/PXLL6ECPCW4ICTRNHABRKKHPBR \
  | 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: 7dd6bf104f15b8814e2d38031528ef0c432fab7e9c0943be7cff06d906d52315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f160b70001a0da946d2fc937d9e0de8e95cfa75ff11ee0b734ff6424d62ebb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-07-02T05:17:11Z",
    "title_canon_sha256": "529fd90bd538777fb6bf485225e3663dc560668b3446166119c85b09583e0ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01719",
    "kind": "arxiv",
    "version": 1
  }
}