Pith Number

pith:JMAOOGTX

pith:2025:JMAOOGTX2TGKVCYBDSBZ42J3ZG

not attested not anchored not stored refs pending

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

Wendelin Werner

arxiv:2502.06754 v4 · 2025-02-10 · 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{JMAOOGTX2TGKVCYBDSBZ42J3ZG}

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

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

Receipt and verification

First computed	2026-07-05T11:31:26.569067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b00e71a77d4ccaa8b011c839e693bc98f82b5e438dd87f2bcf2c869931a5441

Aliases

arxiv: 2502.06754 · arxiv_version: 2502.06754v4 · doi: 10.48550/arxiv.2502.06754 · pith_short_12: JMAOOGTX2TGK · pith_short_16: JMAOOGTX2TGKVCYB · pith_short_8: JMAOOGTX

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/JMAOOGTX2TGKVCYBDSBZ42J3ZG \
  | 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: 4b00e71a77d4ccaa8b011c839e693bc98f82b5e438dd87f2bcf2c869931a5441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37fdc3f8c4012c8604a48c6a81f13264048d78032a41cf4cb5d9196fecd1046",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-10T18:32:10Z",
    "title_canon_sha256": "fcebb93902db9ac8e36546b397907085794cd4636a4196b7d0147e9705472446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06754",
    "kind": "arxiv",
    "version": 4
  }
}