Pith Number

pith:PRWLTZZY

pith:2025:PRWLTZZY4LSQC3HI6UYWZLA377

not attested not anchored not stored refs pending

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow

Kyeongsik Nam, Shirshendu Ganguly

arxiv:2507.22029 v1 · 2025-07-29 · 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{PRWLTZZY4LSQC3HI6UYWZLA377}

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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

3 papers in Pith

Extrema of cooling branching Brownian motion and related Gaussian fields

Sharp behavior of the free energy for the two-dimensional directed polymer model

Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers

Receipt and verification

First computed	2026-07-05T11:45:11.848037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6cb9e738e2e5016ce8f5316cac1bffd9f142623ed1d63ca2bc8e0164ac06ee

Aliases

arxiv: 2507.22029 · arxiv_version: 2507.22029v1 · doi: 10.48550/arxiv.2507.22029 · pith_short_12: PRWLTZZY4LSQ · pith_short_16: PRWLTZZY4LSQC3HI · pith_short_8: PRWLTZZY

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/PRWLTZZY4LSQC3HI6UYWZLA377 \
  | 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: 7c6cb9e738e2e5016ce8f5316cac1bffd9f142623ed1d63ca2bc8e0164ac06ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035a8bdd4d469d2f5f73140a494f738d677d448e3b6bc3b18990956b11ab1bb4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-29T17:26:46Z",
    "title_canon_sha256": "8674b3385bb7a87c6c9f3d99fb0c8ac9f6200f100c9d9e4e5fc68dd3b338479a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22029",
    "kind": "arxiv",
    "version": 1
  }
}