Pith Number

pith:4IMFZWXT

pith:2016:4IMFZWXTKZ4T2IS7OX7YYMTMHM

not attested not anchored not stored refs pending

Replicator dynamics with diffusion on multiplex networks

Albert D\'iaz Guilera, Rub\'en J. Requejo

arxiv:1601.05658 v2 · 2016-01-21 · physics.soc-ph · cond-mat.stat-mech · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IMFZWXTKZ4T2IS7OX7YYMTMHM}

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	2026-05-18T01:09:36.145187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2185cdaf356793d225f75ff8c326c3b3580e85371f95e2b9437c8d8eacde2f9

Aliases

arxiv: 1601.05658 · arxiv_version: 1601.05658v2 · doi: 10.48550/arxiv.1601.05658 · pith_short_12: 4IMFZWXTKZ4T · pith_short_16: 4IMFZWXTKZ4T2IS7 · pith_short_8: 4IMFZWXT

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/4IMFZWXTKZ4T2IS7OX7YYMTMHM \
  | 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: e2185cdaf356793d225f75ff8c326c3b3580e85371f95e2b9437c8d8eacde2f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6185d99b3907b02d4664c63bbadff430d64b1233eb68db23c8b42a7cc1cb0d6d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-01-21T14:39:11Z",
    "title_canon_sha256": "b4cca98ecf40415ee3f15f82c6c43da65d8c310ee85f7e69cb9d48087a4abb58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05658",
    "kind": "arxiv",
    "version": 2
  }
}