Pith. sign in
Pith Number

pith:YXG6Y3P7

pith:1999:YXG6Y3P72NX5FW3KQLNMFODXZM
not attested not anchored not stored refs pending

Scaling limits of loop-erased random walks and uniform spanning trees

Oded Schramm

arxiv:math/9904022 v2 · 1999-04-05 · math.PR · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YXG6Y3P72NX5FW3KQLNMFODXZM}

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

4 papers in Pith

Receipt and verification
First computed 2026-07-04T15:18:56.724518Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c5cdec6dffd36fd2db6a82dac2b877cb04441d235778eec69a7205e0be1ab6e2

Aliases

arxiv: math/9904022 · arxiv_version: math/9904022v2 · doi: 10.48550/arxiv.math/9904022 · pith_short_12: YXG6Y3P72NX5 · pith_short_16: YXG6Y3P72NX5FW3K · pith_short_8: YXG6Y3P7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YXG6Y3P72NX5FW3KQLNMFODXZM \
  | 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: c5cdec6dffd36fd2db6a82dac2b877cb04441d235778eec69a7205e0be1ab6e2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d82fbeee8fb105399dc21661171aadc2f4f2f0ba3c4b15eb80db82d4b8f47ce6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1999-04-05T09:45:10Z",
    "title_canon_sha256": "add1ecb4c7a4988c0fbb28f286328e477a02265c85888588cc9d2bebafa3b4c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9904022",
    "kind": "arxiv",
    "version": 2
  }
}