Pith Number

pith:S52L42EX

pith:2013:S52L42EXNGPINNUPKDREJA7XT6

not attested not anchored not stored refs pending

Entropy of Some Models of Sparse Random Graphs With Vertex-Names

David J. Aldous, Nathan Ross

arxiv:1301.0337 v1 · 2013-01-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S52L42EXNGPINNUPKDREJA7XT6}

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	2026-05-17T23:53:18.126384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9774be6897699e86b68f50e24483f79f9d8ae4bc9ec8c134ac1c51d7e0856e5f

Aliases

arxiv: 1301.0337 · arxiv_version: 1301.0337v1 · doi: 10.48550/arxiv.1301.0337 · pith_short_12: S52L42EXNGPI · pith_short_16: S52L42EXNGPINNUP · pith_short_8: S52L42EX

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/S52L42EXNGPINNUPKDREJA7XT6 \
  | 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: 9774be6897699e86b68f50e24483f79f9d8ae4bc9ec8c134ac1c51d7e0856e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1a70b5cef440b2169c3f80b3c5072934ca4db07cc892f33dbcce5db4ad4a5c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-02T21:47:27Z",
    "title_canon_sha256": "eec2176b76812f2425c3748d11a6e7c6c5d2cbeb1a874c765c5a84f3a2df8ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0337",
    "kind": "arxiv",
    "version": 1
  }
}