Pith Number

pith:KGQMO6WA

pith:2019:KGQMO6WAQLSRILHDHX4YQEWRM3

not attested not anchored not stored refs pending

Multiple backward Schramm--Loewner evolution and coupling with Gaussian free field

Shinji Koshida

arxiv:1908.07180 v3 · 2019-08-20 · math.PR · cond-mat.stat-mech · 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{KGQMO6WAQLSRILHDHX4YQEWRM3}

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	2026-07-05T02:10:57.844627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a0c77ac082e5142ce33df98812d166e9b9d6550adec43c2d454b3da49eebc6

Aliases

arxiv: 1908.07180 · arxiv_version: 1908.07180v3 · doi: 10.48550/arxiv.1908.07180 · pith_short_12: KGQMO6WAQLSR · pith_short_16: KGQMO6WAQLSRILHD · pith_short_8: KGQMO6WA

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/KGQMO6WAQLSRILHDHX4YQEWRM3 \
  | 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: 51a0c77ac082e5142ce33df98812d166e9b9d6550adec43c2d454b3da49eebc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fe6e3a5b3d3ee32326fa5154dec519db90afd026e433e8b6bb2f4ed40e42a86",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-20T06:11:43Z",
    "title_canon_sha256": "3753f5763507006854c37fef2e3d673b2254256cf9be647ac3635284c1b953c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07180",
    "kind": "arxiv",
    "version": 3
  }
}