Pith Number

pith:X55VUMLG

pith:2018:X55VUMLGXDZE77TQEWYLXNLN3P

not attested not anchored not stored refs pending

Asymptotic for the cumulative distribution function of the degrees and homomorphism densities for random graphs sampled from a graphon

Jean-Fran\c{c}ois Delmas, Jean-St\'ephane Dhersin, Marion Sciauveau

arxiv:1807.09989 v1 · 2018-07-26 · 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{X55VUMLGXDZE77TQEWYLXNLN3P}

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	2026-05-18T00:09:45.805619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf7b5a3166b8f24ffe7025b0bbb56ddbee3dff14a5b341601e86388e58a80337

Aliases

arxiv: 1807.09989 · arxiv_version: 1807.09989v1 · doi: 10.48550/arxiv.1807.09989 · pith_short_12: X55VUMLGXDZE · pith_short_16: X55VUMLGXDZE77TQ · pith_short_8: X55VUMLG

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/X55VUMLGXDZE77TQEWYLXNLN3P \
  | 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: bf7b5a3166b8f24ffe7025b0bbb56ddbee3dff14a5b341601e86388e58a80337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3709863e505009db68704fb05943146189d4d5e0f010c071af8cf671904c948b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-26T07:34:58Z",
    "title_canon_sha256": "8106e6e1a9dd7e4e4dab5112b93031d8208c7296977fae9e7de3051fe5531317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09989",
    "kind": "arxiv",
    "version": 1
  }
}