Pith Number

pith:UBWKLKP2

pith:2017:UBWKLKP2OJGMWN6WFMGYBKIJZ7

not attested not anchored not stored refs pending

Phase Transitions in Edge-Weighted Exponential Random Graphs: Near-Degeneracy and Universality

Danielle Larcomb, Mei Yin, Ryan DeMuse

arxiv:1706.02163 v2 · 2017-06-07 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBWKLKP2OJGMWN6WFMGYBKIJZ7}

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	2026-05-17T23:44:00.252871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a06ca5a9fa724ccb37d62b0d80a909cfe6178a376a4bb9ed826798c1ff3a1f85

Aliases

arxiv: 1706.02163 · arxiv_version: 1706.02163v2 · doi: 10.48550/arxiv.1706.02163 · pith_short_12: UBWKLKP2OJGM · pith_short_16: UBWKLKP2OJGMWN6W · pith_short_8: UBWKLKP2

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/UBWKLKP2OJGMWN6WFMGYBKIJZ7 \
  | 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: a06ca5a9fa724ccb37d62b0d80a909cfe6178a376a4bb9ed826798c1ff3a1f85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d481d36165518f73d8ab187d6eaf4bfa41bc7073de9704ade6c9c55c5604e56",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-07T17:10:42Z",
    "title_canon_sha256": "586bd2bf8edbfde42367e2e75db0a3d73e3f997b6283208be98b2f5833756ca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02163",
    "kind": "arxiv",
    "version": 2
  }
}