Pith Number

pith:CM4U243U

pith:2026:CM4U243UFYKDZLE47EQ2UWFROB

not attested not anchored not stored refs pending

Small Brownian Loops Hitting SLE$_2$: An Exact Natural-Content Limit

Zhengwen Qiao

arxiv:2607.26439 v1 · 2026-07-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CM4U243UFYKDZLE47EQ2UWFROB}

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	2026-07-30T01:18:25.840768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

13394d73742e143cac9cf921aa58b1705622e6e630c26a8ea1e0e9b95cde8c97

Aliases

arxiv: 2607.26439 · arxiv_version: 2607.26439v1 · doi: 10.48550/arxiv.2607.26439 · pith_short_12: CM4U243UFYKD · pith_short_16: CM4U243UFYKDZLE4 · pith_short_8: CM4U243U

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/CM4U243UFYKDZLE47EQ2UWFROB \
  | 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: 13394d73742e143cac9cf921aa58b1705622e6e630c26a8ea1e0e9b95cde8c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e562eac2357eb85096478978392f17297f74da41494d6dc665b66c5dca5e609",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-29T03:37:21Z",
    "title_canon_sha256": "592a4418deaad554525137fc9fdac3e53413dece8f67471a4b41b23c74f9760c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26439",
    "kind": "arxiv",
    "version": 1
  }
}