Pith Number

pith:IUJRBGZJ

pith:2023:IUJRBGZJKV3HHIS6JURNKNMDLJ

not attested not anchored not stored refs pending

One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions

Jian Ding, Zhenhao Cai

arxiv:2307.04434 v1 · 2023-07-10 · 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{IUJRBGZJKV3HHIS6JURNKNMDLJ}

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

1 paper in Pith

A switching identity for cable-graph loop soups and Gaussian free fields

Receipt and verification

First computed	2026-07-05T06:29:13.295045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4513109b29557673a25e4d22d535835a6544200f2760593d7bea4a25e1a0390a

Aliases

arxiv: 2307.04434 · arxiv_version: 2307.04434v1 · doi: 10.48550/arxiv.2307.04434 · pith_short_12: IUJRBGZJKV3H · pith_short_16: IUJRBGZJKV3HHIS6 · pith_short_8: IUJRBGZJ

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/IUJRBGZJKV3HHIS6JURNKNMDLJ \
  | 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: 4513109b29557673a25e4d22d535835a6544200f2760593d7bea4a25e1a0390a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f49bc7d8358e2cb1d5862fe28fa9a76264d46181435e0d2a33047c7dcd5fee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-07-10T09:18:50Z",
    "title_canon_sha256": "adb3d56af3e1613c2ac73810076f15d6ff948269cbbcd521c3b37d3ef4b89e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.04434",
    "kind": "arxiv",
    "version": 1
  }
}