Pith Number

pith:FBOH3BF2

pith:2024:FBOH3BF26AQOMYYO77Z2ANR4VK

not attested not anchored not stored refs pending

Gaussian free field and Liouville quantum gravity

Ellen Powell, Nathana\"el Berestycki

arxiv:2404.16642 v2 · 2024-04-25 · 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{FBOH3BF26AQOMYYO77Z2ANR4VK}

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

4 papers in Pith

Rigorous results for timelike Liouville field theory

Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion

Scaling limits for nonlinear functionals of the discrete Gaussian free field with degenerate random conductances

Renormalised two-point functions of CLE$_4$ gaskets

Receipt and verification

First computed	2026-07-05T10:08:16.081406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285c7d84baf020e6630efff3a0363caaaef62b92add115727f7f189456ebac41

Aliases

arxiv: 2404.16642 · arxiv_version: 2404.16642v2 · doi: 10.48550/arxiv.2404.16642 · pith_short_12: FBOH3BF26AQO · pith_short_16: FBOH3BF26AQOMYYO · pith_short_8: FBOH3BF2

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/FBOH3BF26AQOMYYO77Z2ANR4VK \
  | 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: 285c7d84baf020e6630efff3a0363caaaef62b92add115727f7f189456ebac41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db418f186a53ec08456eabf8d145e8b4275e1ac45d98853cd3ff841d5ad9763",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-04-25T14:31:02Z",
    "title_canon_sha256": "2c35326f32423cf328954f16cd6e2ef1dcef55ad8c04cd7d5ba57dc94391abd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.16642",
    "kind": "arxiv",
    "version": 2
  }
}