Pith Number

pith:KZOIWV34

pith:2001:KZOIWV34MJDFHQDEYPGTP2P5XC

not attested not anchored not stored refs pending

Conformal invariance of planar loop-erased random walks and uniform spanning trees

Gregory F. Lawler, Oded Schramm, Wendelin Werner

arxiv:math/0112234 v3 · 2001-12-20 · math.PR · math-ph · math.CV · 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{KZOIWV34MJDFHQDEYPGTP2P5XC}

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.

Cited by

2 papers in Pith

Field theories for Laplacian Growth

Three-point functions in critical loop models

Receipt and verification

First computed	2026-07-04T15:16:40.924914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

565c8b577c624653c064c3cd37e9fdb8ae27208d7091002e4617f946f8c97d29

Aliases

arxiv: math/0112234 · arxiv_version: math/0112234v3 · doi: 10.48550/arxiv.math/0112234 · pith_short_12: KZOIWV34MJDF · pith_short_16: KZOIWV34MJDFHQDE · pith_short_8: KZOIWV34

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/KZOIWV34MJDFHQDEYPGTP2P5XC \
  | 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: 565c8b577c624653c064c3cd37e9fdb8ae27208d7091002e4617f946f8c97d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb6cc600062f8d01f1486b288d8d218f67bdb168a185c4a0bef9cd5765544a3",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-12-20T21:53:08Z",
    "title_canon_sha256": "c5aa6ceadeaec19a3387eba36706c9c4821985e7ce2d7f6d5db5f2866bab8e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112234",
    "kind": "arxiv",
    "version": 3
  }
}