Pith Number

pith:54LYQ3FE

pith:2025:54LYQ3FE6IDZ5P66FYGOFVL4C2

not attested not anchored not stored refs pending

The maximum of the two dimensional Gaussian directed polymer in the subcritical regime

Cl\'ement Cosco, Ofer Zeitouni, Shuta Nakajima

arxiv:2503.17236 v1 · 2025-03-21 · 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{54LYQ3FE6IDZ5P66FYGOFVL4C2}

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

Extrema of cooling branching Brownian motion and related Gaussian fields

Receipt and verification

First computed	2026-07-05T10:37:00.631999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef17886ca4f2079ebfde2e0ce2d57c16b8cb8aa241d28bbd756e515c8f4bcd6c

Aliases

arxiv: 2503.17236 · arxiv_version: 2503.17236v1 · doi: 10.48550/arxiv.2503.17236 · pith_short_12: 54LYQ3FE6IDZ · pith_short_16: 54LYQ3FE6IDZ5P66 · pith_short_8: 54LYQ3FE

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/54LYQ3FE6IDZ5P66FYGOFVL4C2 \
  | 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: ef17886ca4f2079ebfde2e0ce2d57c16b8cb8aa241d28bbd756e515c8f4bcd6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d688fa57e22adbf86f76c45a80d3fdaea97bde6e991f953eb0e059df7eb8f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-21T15:39:25Z",
    "title_canon_sha256": "9dfa9b3b66e2bdce955c2cf3f5eaa13ccde4195325466576578f0ee20fb52a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17236",
    "kind": "arxiv",
    "version": 1
  }
}