Pith Number

pith:QS5GHNBH

pith:2008:QS5GHNBHLKSDWQBSVMU6ZTVW3U

not attested not anchored not stored refs pending

Loop-erased random walk and Poisson kernel on planar graphs

Amir Yehudayoff, Ariel Yadin

arxiv:0809.2643 v2 · 2008-09-16 · math.PR · 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{QS5GHNBHLKSDWQBSVMU6ZTVW3U}

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	2026-05-18T03:40:49.948060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84ba63b4275aa43b4032ab29ecceb6dd1162b593812a433e9a23d15369d96120

Aliases

arxiv: 0809.2643 · arxiv_version: 0809.2643v2 · doi: 10.48550/arxiv.0809.2643 · pith_short_12: QS5GHNBHLKSD · pith_short_16: QS5GHNBHLKSDWQBS · pith_short_8: QS5GHNBH

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/QS5GHNBHLKSDWQBSVMU6ZTVW3U \
  | 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: 84ba63b4275aa43b4032ab29ecceb6dd1162b593812a433e9a23d15369d96120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2bfdf7c102fbc441bef4912dd87bbeef5a72de7820369174abb1012e0becc0b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-09-16T06:24:51Z",
    "title_canon_sha256": "cc39e8feb6ad491e644f764d1297d532274e950a1001d906d17b178ce74e9507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2643",
    "kind": "arxiv",
    "version": 2
  }
}