Pith Number

pith:BZXSF6UB

pith:2017:BZXSF6UBTADJLQEVWOKQ3NO3QJ

not attested not anchored not stored refs pending

Exponential random graphs behave like mixtures of stochastic block models

Renan Gross, Ronen Eldan

arxiv:1707.01227 v3 · 2017-07-05 · math.PR · cs.SI · math-ph · math.CO · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZXSF6UBTADJLQEVWOKQ3NO3QJ}

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	2026-05-18T00:18:05.306458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e6f22fa81980695c095b3950db5db826920cab4175ff14a3bbd3a8decfb9adc

Aliases

arxiv: 1707.01227 · arxiv_version: 1707.01227v3 · doi: 10.48550/arxiv.1707.01227 · pith_short_12: BZXSF6UBTADJ · pith_short_16: BZXSF6UBTADJLQEV · pith_short_8: BZXSF6UB

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/BZXSF6UBTADJLQEVWOKQ3NO3QJ \
  | 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: 0e6f22fa81980695c095b3950db5db826920cab4175ff14a3bbd3a8decfb9adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "180105929bfab033b18cc4c929a4bf89591081d1dbdaf293b400be8fadb44ebb",
    "cross_cats_sorted": [
      "cs.SI",
      "math-ph",
      "math.CO",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-05T06:48:38Z",
    "title_canon_sha256": "97440789cc3a92dba47e051ce434dd3bdb3b5ad6dea06f3988ab085765737722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01227",
    "kind": "arxiv",
    "version": 3
  }
}