Pith Number

pith:MLGUEPRL

pith:2017:MLGUEPRLIGB3YRHLRKGLQE6WMS

not attested not anchored not stored refs pending

Counting triangles, tunable clustering and the small-world property in random key graphs (Extended version)

Armand M. Makowski, Osman Ya\u{g}an

arxiv:1701.03758 v1 · 2017-01-13 · cs.SI · cs.DM · 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{MLGUEPRLIGB3YRHLRKGLQE6WMS}

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	2026-05-18T00:52:53.914704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62cd423e2b4183bc44eb8a8cb813d664a8464f2eaca8c789a17632399f36a962

Aliases

arxiv: 1701.03758 · arxiv_version: 1701.03758v1 · doi: 10.48550/arxiv.1701.03758 · pith_short_12: MLGUEPRLIGB3 · pith_short_16: MLGUEPRLIGB3YRHL · pith_short_8: MLGUEPRL

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/MLGUEPRLIGB3YRHLRKGLQE6WMS \
  | 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: 62cd423e2b4183bc44eb8a8cb813d664a8464f2eaca8c789a17632399f36a962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7ad3a184a7ce8c025ff0e388c991d7df03cab6083a0f1c6a3a50c49c75cf4c4",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2017-01-13T17:56:09Z",
    "title_canon_sha256": "3e490ad73436c05c46256468e132f210880fbbf7ad25b4edfe4b008242c47238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03758",
    "kind": "arxiv",
    "version": 1
  }
}