Pith Number

pith:7BDUYC5N

pith:2026:7BDUYC5NSEXQZ66Z3NALPPWVXQ

not attested not anchored not stored refs pending

Involution game with migration and spatial heterogeneity of social resources

Bo Li, Qiwen Ge, Yong Shi

arxiv:2603.12558 v2 · 2026-03-13 · 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{7BDUYC5NSEXQZ66Z3NALPPWVXQ}

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	2026-07-09T01:19:52.849489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8474c0bad912f0cfbd9db40b7bed5bc0a8c8824a2ae4933b511ac74e843e886

Aliases

arxiv: 2603.12558 · arxiv_version: 2603.12558v2 · doi: 10.48550/arxiv.2603.12558 · pith_short_12: 7BDUYC5NSEXQ · pith_short_16: 7BDUYC5NSEXQZ66Z · pith_short_8: 7BDUYC5N

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/7BDUYC5NSEXQZ66Z3NALPPWVXQ \
  | 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: f8474c0bad912f0cfbd9db40b7bed5bc0a8c8824a2ae4933b511ac74e843e886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b553c2cbb377c9db5c98503bd9c2d506dbb7012d0311a43f84157ca7645f9d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-03-13T01:41:09Z",
    "title_canon_sha256": "7d78169453e17320aa6a03d9a51aa3d16038803bf65639cae04e9ac3e370fd94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.12558",
    "kind": "arxiv",
    "version": 2
  }
}