Pith Number

pith:RKNTD5VB

pith:2026:RKNTD5VBOMWPMSQKKCKQNXCUKG

not attested not anchored not stored refs pending

Long-range social pressure and the evolution of cooperation in multiplex networks

Gabrielle Muller, Mar\'ia Pereda

arxiv:2607.06056 v1 · 2026-07-07 · 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{RKNTD5VBOMWPMSQKKCKQNXCUKG}

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	2026-07-08T01:18:55.205208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a9b31f6a1732cf64a0a509506dc5451948a3a53f673eeacd6661bb7e421009e

Aliases

arxiv: 2607.06056 · arxiv_version: 2607.06056v1 · doi: 10.48550/arxiv.2607.06056 · pith_short_12: RKNTD5VBOMWP · pith_short_16: RKNTD5VBOMWPMSQK · pith_short_8: RKNTD5VB

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/RKNTD5VBOMWPMSQKKCKQNXCUKG \
  | 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: 8a9b31f6a1732cf64a0a509506dc5451948a3a53f673eeacd6661bb7e421009e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c145227ade35ca56e986db83c8a912ab1c694e5b0a6f62745447f446a855f2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-07-07T09:32:19Z",
    "title_canon_sha256": "eb8dd403f221054be67ac8ae54d0e05b4f979a0890ecd84558c1a3ed5df611c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06056",
    "kind": "arxiv",
    "version": 1
  }
}