Pith Number

pith:7PBRVN4D

pith:2016:7PBRVN4DMN3EVHROPQPQ3HTOUS

not attested not anchored not stored refs pending

Detection Thresholds for the $\beta$-Model on Sparse Graphs

Rajarshi Mukherjee, Subhabrata Sen, Sumit Mukherjee

arxiv:1608.01801 v2 · 2016-08-05 · 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{7PBRVN4DMN3EVHROPQPQ3HTOUS}

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	2026-05-18T00:43:35.713057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc31ab78363764a9e2e7c1f0d9e6ea48740032fc8ccdc39429fc434244d4554

Aliases

arxiv: 1608.01801 · arxiv_version: 1608.01801v2 · doi: 10.48550/arxiv.1608.01801 · pith_short_12: 7PBRVN4DMN3E · pith_short_16: 7PBRVN4DMN3EVHRO · pith_short_8: 7PBRVN4D

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/7PBRVN4DMN3EVHROPQPQ3HTOUS \
  | 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: fbc31ab78363764a9e2e7c1f0d9e6ea48740032fc8ccdc39429fc434244d4554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755ae4c00fc3f2c0348dd7df6926436bc2c8ec3c053d16bb3a07cc62fa2af36b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-08-05T08:27:20Z",
    "title_canon_sha256": "d7ab52e7629157066fea6a274122c9ed843eec4b8aba23305fa23b08ad81a858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01801",
    "kind": "arxiv",
    "version": 2
  }
}