Pith Number

pith:UH4GB4AN

pith:2011:UH4GB4AN7T6XQPZ7JCOIAU7B6Y

not attested not anchored not stored refs pending

Determinantal Correlations of Brownian Paths in the Plane with Nonintersection Condition on their Loop-Erased Parts

Makiko Sato, Makoto Katori

arxiv:1101.3874 v3 · 2011-01-20 · math-ph · cond-mat.stat-mech · hep-th · math.MP · math.PR · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UH4GB4AN7T6XQPZ7JCOIAU7B6Y}

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	2026-05-18T02:22:51.077643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f860f00dfcfd783f3f489c8053e1f603633732276031443768566d256e3747

Aliases

arxiv: 1101.3874 · arxiv_version: 1101.3874v3 · doi: 10.48550/arxiv.1101.3874 · pith_short_12: UH4GB4AN7T6X · pith_short_16: UH4GB4AN7T6XQPZ7 · pith_short_8: UH4GB4AN

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/UH4GB4AN7T6XQPZ7JCOIAU7B6Y \
  | 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: a1f860f00dfcfd783f3f489c8053e1f603633732276031443768566d256e3747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c2b23b37ba954e7303f6dc5dae843e6ce076589a9f78831768e868c508c08bd",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP",
      "math.PR",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-20T11:51:54Z",
    "title_canon_sha256": "b4c53b126fe55acef177710ffbb57a775662ceeae1ab2ab9ec329f9266c0e2cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3874",
    "kind": "arxiv",
    "version": 3
  }
}