Pith Number

pith:O63DJAWP

pith:2009:O63DJAWPF3DAEJZB7LOX7YKJWE

not attested not anchored not stored refs pending

The scaling limit of the Minimal Spanning Tree - a preliminary report

Christophe Garban, G\'abor Pete, Oded Schramm

arxiv:0909.3138 v1 · 2009-09-17 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O63DJAWPF3DAEJZB7LOX7YKJWE}

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	2026-05-18T04:34:55.451532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77b63482cf2ec6022721fadd7fe149b1216a97634b045ffc880e7d92ecce8cdf

Aliases

arxiv: 0909.3138 · arxiv_version: 0909.3138v1 · doi: 10.48550/arxiv.0909.3138 · pith_short_12: O63DJAWPF3DA · pith_short_16: O63DJAWPF3DAEJZB · pith_short_8: O63DJAWP

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/O63DJAWPF3DAEJZB7LOX7YKJWE \
  | 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: 77b63482cf2ec6022721fadd7fe149b1216a97634b045ffc880e7d92ecce8cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b71a9ad88b18e9017732b2a70ef60c612538a6a6a6c3cda94e9d029fb3d24f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-17T01:29:08Z",
    "title_canon_sha256": "62f144ca262d9c714be14870ac75b5770afe6556d1bf0fc5e9a25d7754c14cc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3138",
    "kind": "arxiv",
    "version": 1
  }
}