Pith Number

pith:BMZRCPLT

pith:2009:BMZRCPLTJX5BGX3D3WM2C3FSJ5

not attested not anchored not stored refs pending

Clustering Phase Transitions and Hysteresis: Pitfalls in Constructing Network Ensembles

David V. Foster, Jacob G. Foster, Maya Paczuski, Peter Grassberger

arxiv:0911.2055 v1 · 2009-11-11 · cond-mat.stat-mech · 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{BMZRCPLTJX5BGX3D3WM2C3FSJ5}

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	2026-05-18T03:23:56.898036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b33113d734dfa135f63dd99a16cb24f435d52a5ea5114ea801866a3169c450e

Aliases

arxiv: 0911.2055 · arxiv_version: 0911.2055v1 · doi: 10.48550/arxiv.0911.2055 · pith_short_12: BMZRCPLTJX5B · pith_short_16: BMZRCPLTJX5BGX3D · pith_short_8: BMZRCPLT

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/BMZRCPLTJX5BGX3D3WM2C3FSJ5 \
  | 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: 0b33113d734dfa135f63dd99a16cb24f435d52a5ea5114ea801866a3169c450e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f2a6fc9dddd7db860daf2b9aee292182f61375a8ab364bba8dd72aa0e469bcf",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-11-11T05:47:28Z",
    "title_canon_sha256": "3c9fb08a8a6fac8f1e96b4b63ea1dd71dce788c87710dc9ff2b3faf616ed1dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2055",
    "kind": "arxiv",
    "version": 1
  }
}