Pith Number

pith:SE4ROGLI

pith:1998:SE4ROGLI76FR5ZICY6Z7AOOOV2

not attested not anchored not stored refs pending

Scaling Limits for Minimal and Random Spanning Trees in Two Dimensions

Almut Burchard, Charles M. Newman, David B. Wilson, Michael Aizenman

arxiv:math/9809145 v3 · 1998-09-24 · math.PR · cond-mat.stat-mech · 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{SE4ROGLI76FR5ZICY6Z7AOOOV2}

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	2026-05-18T03:53:18.016844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9139171968ff8b1ee502c7b3f039ceae9024f402e46732adff855ba75f299834

Aliases

arxiv: math/9809145 · arxiv_version: math/9809145v3 · doi: 10.48550/arxiv.math/9809145 · pith_short_12: SE4ROGLI76FR · pith_short_16: SE4ROGLI76FR5ZIC · pith_short_8: SE4ROGLI

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/SE4ROGLI76FR5ZICY6Z7AOOOV2 \
  | 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: 9139171968ff8b1ee502c7b3f039ceae9024f402e46732adff855ba75f299834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a4915f6531baa879f941400429dd83580fb8816c13beb09e7450470d3efe205",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1998-09-24T22:29:15Z",
    "title_canon_sha256": "f3d8211bffa2333fc6c5cdbf16afecaeea17e2ea904cc547d3c22849f3a49413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809145",
    "kind": "arxiv",
    "version": 3
  }
}