Pith Number

pith:7JXSDONC

pith:2022:7JXSDONCP4LUF6S4NSZA5HTSFG

not attested not anchored not stored refs pending

Mean field limits of co-evolutionary signed heterogeneous networks

Christian Kuehn, Chuang Xu, Marios Antonios Gkogkas

arxiv:2202.01742 v3 · 2022-02-03 · math.DS · math.AP · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JXSDONCP4LUF6S4NSZA5HTSFG}

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	2026-05-20T14:03:15.552982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa6f21b9a27f1742fa5c6cb20e9e72299e786ae4b7355a15f79638eedbe0800f

Aliases

arxiv: 2202.01742 · arxiv_version: 2202.01742v3 · doi: 10.48550/arxiv.2202.01742 · pith_short_12: 7JXSDONCP4LU · pith_short_16: 7JXSDONCP4LUF6S4 · pith_short_8: 7JXSDONC

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/7JXSDONCP4LUF6S4NSZA5HTSFG \
  | 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: fa6f21b9a27f1742fa5c6cb20e9e72299e786ae4b7355a15f79638eedbe0800f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6987f38b62f00fc8b331401c40458f31013b7ce926e3ff51f32196ce3008dc3b",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-02-03T18:08:53Z",
    "title_canon_sha256": "e0d23725d219de434c6c22e7c41465526af3f6b4eccea6cff6da9fa4add2673a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.01742",
    "kind": "arxiv",
    "version": 3
  }
}