Pith Number

pith:NMY5JF63

pith:2020:NMY5JF63UAUNN5WO4MSN42TXCO

not attested not anchored not stored refs pending

The diameter of the minimum spanning tree of the complete graph with inhomogeneous random weights

Othmane Safsafi

arxiv:2012.01664 v1 · 2020-12-03 · 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{NMY5JF63UAUNN5WO4MSN42TXCO}

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	2026-07-05T01:56:48.825771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b31d497dba028d6f6cee324de6a7713be01f6a5480de87706ed9900f40d7c83

Aliases

arxiv: 2012.01664 · arxiv_version: 2012.01664v1 · doi: 10.48550/arxiv.2012.01664 · pith_short_12: NMY5JF63UAUN · pith_short_16: NMY5JF63UAUNN5WO · pith_short_8: NMY5JF63

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/NMY5JF63UAUNN5WO4MSN42TXCO \
  | 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: 6b31d497dba028d6f6cee324de6a7713be01f6a5480de87706ed9900f40d7c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0865c4cba76793b4d7083fad7433f1f4d3f02e5945f33e3530d79c417b976437",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-12-03T02:34:50Z",
    "title_canon_sha256": "dcd550634e5cfd39748f299a299520df33f5c5b238128ae0aca4d197aec68401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.01664",
    "kind": "arxiv",
    "version": 1
  }
}