Pith Number

pith:ABLFXWGC

pith:2017:ABLFXWGCSAWTOBGZL6DRBIZMMO

not attested not anchored not stored refs pending

Lumping of Degree-Based Mean Field and Pair Approximation Equations for Multi-State Contact Processes

Charalampos Kyriakopoulos, Gerrit Grossmann, Luca Bortolussi, Verena Wolf

arxiv:1706.06964 v3 · 2017-06-21 · cs.SI · 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{ABLFXWGCSAWTOBGZL6DRBIZMMO}

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	2026-05-18T00:26:29.812517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00565bd8c2902d3704d95f8710a32c6388ac1cf8ef60f61f62d90d6b91ad94ec

Aliases

arxiv: 1706.06964 · arxiv_version: 1706.06964v3 · doi: 10.48550/arxiv.1706.06964 · pith_short_12: ABLFXWGCSAWT · pith_short_16: ABLFXWGCSAWTOBGZ · pith_short_8: ABLFXWGC

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/ABLFXWGCSAWTOBGZL6DRBIZMMO \
  | 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: 00565bd8c2902d3704d95f8710a32c6388ac1cf8ef60f61f62d90d6b91ad94ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb54522512c9598aa5defdf1db177c0a6e35805ac75667bef01656b3ea22f1b",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2017-06-21T15:40:41Z",
    "title_canon_sha256": "4f68d74bee46f4fb08698e6740e99353e68863750f2b094b7e170f84cc47adbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06964",
    "kind": "arxiv",
    "version": 3
  }
}