Pith Number

pith:6L6KRNWA

pith:2024:6L6KRNWAFHMP3CQZZU3UQX33IK

not attested not anchored not stored refs pending

The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field

Kyeongsik Nam, Shirshendu Ganguly

arxiv:2403.02318 v1 · 2024-03-04 · 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{6L6KRNWAFHMP3CQZZU3UQX33IK}

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	2026-07-05T07:51:59.315374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2fca8b6c029d8fd8a19cd37485f7b428841c7436901bbe16eb3ece7972c4120

Aliases

arxiv: 2403.02318 · arxiv_version: 2403.02318v1 · doi: 10.48550/arxiv.2403.02318 · pith_short_12: 6L6KRNWAFHMP · pith_short_16: 6L6KRNWAFHMP3CQZ · pith_short_8: 6L6KRNWA

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/6L6KRNWAFHMP3CQZZU3UQX33IK \
  | 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: f2fca8b6c029d8fd8a19cd37485f7b428841c7436901bbe16eb3ece7972c4120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0ce95a29457c35f5d4566012366c085ccbe7f9a30f59d89548c525e10936bd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-03-04T18:54:10Z",
    "title_canon_sha256": "8197c334899182d948484a8f8a08a8b992367185815e54b658393f4b3f883318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.02318",
    "kind": "arxiv",
    "version": 1
  }
}