Pith Number

pith:GAOOJO6U

pith:2013:GAOOJO6UPOM2NTKYVN2YY34W43

not attested not anchored not stored refs pending

The scaling limit of the minimum spanning tree of the complete graph

Christina Goldschmidt, Gr\'egory Miermont, Louigi Addario-Berry, Nicolas Broutin

arxiv:1301.1664 v1 · 2013-01-08 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAOOJO6UPOM2NTKYVN2YY34W43}

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	2026-05-18T03:36:56.967953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

301ce4bbd47b99a6cd58ab758c6f96e6e238490011f287273071b782ab1caa67

Aliases

arxiv: 1301.1664 · arxiv_version: 1301.1664v1 · doi: 10.48550/arxiv.1301.1664 · pith_short_12: GAOOJO6UPOM2 · pith_short_16: GAOOJO6UPOM2NTKY · pith_short_8: GAOOJO6U

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/GAOOJO6UPOM2NTKYVN2YY34W43 \
  | 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: 301ce4bbd47b99a6cd58ab758c6f96e6e238490011f287273071b782ab1caa67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6249a9c1c92263128091291d6740563f8b44a098104364759ca152932a213132",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-08T20:32:37Z",
    "title_canon_sha256": "105ac23c3d49e28e8c9c48c8bccf10464bb72887325e94cc6d5f7475b3397d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1664",
    "kind": "arxiv",
    "version": 1
  }
}