Pith Number

pith:LEJUSVKM

pith:2016:LEJUSVKM2JHE4SPSRFYRP4UB7U

not attested not anchored not stored refs pending

Mean field dynamics of graphs I: Evolution of probabilistic cellular automata for random and small-world graphs

Jolanda J. Kossakowski, Lourens J. Waldorp

arxiv:1610.05105 v2 · 2016-10-17 · stat.AP · nlin.CG · 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{LEJUSVKM2JHE4SPSRFYRP4UB7U}

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	2026-05-18T00:46:04.303181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591349554cd24e4e49f2897117f281fd0cdb67efffc943e6ffce3bd14016aa1f

Aliases

arxiv: 1610.05105 · arxiv_version: 1610.05105v2 · doi: 10.48550/arxiv.1610.05105 · pith_short_12: LEJUSVKM2JHE · pith_short_16: LEJUSVKM2JHE4SPS · pith_short_8: LEJUSVKM

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/LEJUSVKM2JHE4SPSRFYRP4UB7U \
  | 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: 591349554cd24e4e49f2897117f281fd0cdb67efffc943e6ffce3bd14016aa1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1646766f3cce0ba05f566a06319cf3a6a81ddcf592c6b5835137e88de5fbf51",
    "cross_cats_sorted": [
      "nlin.CG",
      "physics.soc-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2016-10-17T13:33:39Z",
    "title_canon_sha256": "db869ea85f191e02bc7e6d6465104f72d433d16db594dda8bbfa4ef1a2fc2a30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05105",
    "kind": "arxiv",
    "version": 2
  }
}