Pith Number

pith:CYL5NM3C

pith:2024:CYL5NM3CBQTEPF7BW5SE2CRI4C

not attested not anchored not stored refs pending

One-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension

Jian Ding, Zhenhao Cai

arxiv:2406.02397 v2 · 2024-06-04 · 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{CYL5NM3CBQTEPF7BW5SE2CRI4C}

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

2 papers in Pith

Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup

Fluctuations for the critical free Bose gas

Receipt and verification

First computed	2026-07-05T08:43:10.387672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1617d6b3620c264797e1b7644d0a28e0a04001bbfadcc5527fe3b38f4049e419

Aliases

arxiv: 2406.02397 · arxiv_version: 2406.02397v2 · doi: 10.48550/arxiv.2406.02397 · pith_short_12: CYL5NM3CBQTE · pith_short_16: CYL5NM3CBQTEPF7B · pith_short_8: CYL5NM3C

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/CYL5NM3CBQTEPF7BW5SE2CRI4C \
  | 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: 1617d6b3620c264797e1b7644d0a28e0a04001bbfadcc5527fe3b38f4049e419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f950cec935f9e3c5c57a16bcfb58dcc6beb877573f9aba0d09dbaca21b215a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-06-04T15:11:49Z",
    "title_canon_sha256": "91760b685815d7e323cb66b8df74edf8a4457cdd58d981df041f7f8b9133843e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.02397",
    "kind": "arxiv",
    "version": 2
  }
}