Pith Number

pith:Q4HUTJGW

pith:2023:Q4HUTJGWNVITOPATR6PH47NUZP

not attested not anchored not stored refs pending

Local limit theorem for directed polymers beyond the $L^2$-phase

Stefan Junk

arxiv:2307.05097 v3 · 2023-07-11 · 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{Q4HUTJGWNVITOPATR6PH47NUZP}

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

Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow

Receipt and verification

First computed	2026-07-05T11:30:34.513087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870f49a4d66d51373c138f9e7e7db4cbfe369337a8e3123b17252ec11c3156d3

Aliases

arxiv: 2307.05097 · arxiv_version: 2307.05097v3 · doi: 10.48550/arxiv.2307.05097 · pith_short_12: Q4HUTJGWNVIT · pith_short_16: Q4HUTJGWNVITOPAT · pith_short_8: Q4HUTJGW

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/Q4HUTJGWNVITOPATR6PH47NUZP \
  | 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: 870f49a4d66d51373c138f9e7e7db4cbfe369337a8e3123b17252ec11c3156d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b42c52df91a548e68e606756a64e6367ecb1d5dc3a6a4b97e94f2ff4a5e6ff84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-07-11T08:11:22Z",
    "title_canon_sha256": "e78ed9cbb938daea28ee79d7c5023e0b144edb2d9016e3346ae059a9b93af2e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.05097",
    "kind": "arxiv",
    "version": 3
  }
}