Pith Number

pith:QNX2PITQ

pith:2016:QNX2PITQHR7K5NYPYXXPAXBOB4

not attested not anchored not stored refs pending

Mean Field Dynamics of Graphs II: Assessing the Risk for the Development of Phase Transitions in Empirical Data

Harriette Riese, Jolanda J Kossakowski, Lourens J Waldorp, Marijke CM Gordijn

arxiv:1610.05046 v3 · 2016-10-17 · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNX2PITQHR7K5NYPYXXPAXBOB4}

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	2026-05-18T00:11:11.867537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836fa7a2703c7eaeb70fc5eef05c2e0f0531810b307e1dbdb666ed50e44ed172

Aliases

arxiv: 1610.05046 · arxiv_version: 1610.05046v3 · doi: 10.48550/arxiv.1610.05046 · pith_short_12: QNX2PITQHR7K · pith_short_16: QNX2PITQHR7K5NYP · pith_short_8: QNX2PITQ

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/QNX2PITQHR7K5NYPYXXPAXBOB4 \
  | 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: 836fa7a2703c7eaeb70fc5eef05c2e0f0531810b307e1dbdb666ed50e44ed172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e77bce307be0fce782f37358fa3170ed85b7fc379f3160ac71960e941e32175",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2016-10-17T11:24:12Z",
    "title_canon_sha256": "e60bc2040b089bfb5575895cfade2af7867ce2f64cad10bc4e6ef06bbc3fc919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05046",
    "kind": "arxiv",
    "version": 3
  }
}