Pith Number

pith:ZXUU4XVG

pith:2026:ZXUU4XVGKHHQIFZERPSUM6GWB5

not attested not anchored not stored refs pending

Evolution of cooperation in the multiplex

Feng Fu, Xingru Chen, Zijie Chen

arxiv:2606.00196 v1 · 2026-05-29 · q-bio.PE · 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{ZXUU4XVGKHHQIFZERPSUM6GWB5}

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	2026-06-02T01:03:21.235556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cde94e5ea651cf0417248be54678d60f5671354e16a57ca5c703683ae5ef0af6

Aliases

arxiv: 2606.00196 · arxiv_version: 2606.00196v1 · doi: 10.48550/arxiv.2606.00196 · pith_short_12: ZXUU4XVGKHHQ · pith_short_16: ZXUU4XVGKHHQIFZE · pith_short_8: ZXUU4XVG

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/ZXUU4XVGKHHQIFZERPSUM6GWB5 \
  | 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: cde94e5ea651cf0417248be54678d60f5671354e16a57ca5c703683ae5ef0af6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe048d700c0b23c2f0d12709f71bf7b754420862ab1bcbf5352f855194e15c2",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-05-29T16:48:41Z",
    "title_canon_sha256": "cf8e8c02034a53dbd19bc8ce4baba440055e7ace3e5ab8f61d5fcc10908cd35a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00196",
    "kind": "arxiv",
    "version": 1
  }
}