Pith Number

pith:X7VCBFTB

pith:2013:X7VCBFTBRP3P6ZVZR7N3C7X5AE

not attested not anchored not stored refs pending

The scaling limits of the Minimal Spanning Tree and Invasion Percolation in the plane

Christophe Garban, G\'abor Pete, Oded Schramm

arxiv:1309.0269 v3 · 2013-09-01 · 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{X7VCBFTBRP3P6ZVZR7N3C7X5AE}

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	2026-05-18T00:52:04.521383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfea2096618bf6ff66b98fdbb17efd012b08e515bec5cf42d56ab557048f0373

Aliases

arxiv: 1309.0269 · arxiv_version: 1309.0269v3 · doi: 10.48550/arxiv.1309.0269 · pith_short_12: X7VCBFTBRP3P · pith_short_16: X7VCBFTBRP3P6ZVZ · pith_short_8: X7VCBFTB

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/X7VCBFTBRP3P6ZVZR7N3C7X5AE \
  | 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: bfea2096618bf6ff66b98fdbb17efd012b08e515bec5cf42d56ab557048f0373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7702fb5e0321c5c8dc723b111e8830661f1c0e9ff9906016c4174e1f28cec5f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-01T21:54:13Z",
    "title_canon_sha256": "c4f44922be4a7ddf778a5956f6d4b3e6dfcd3b5d5e8a045b7a2207ae4ba1668b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0269",
    "kind": "arxiv",
    "version": 3
  }
}