Pith Number

pith:KKT3JFKK

pith:2023:KKT3JFKKCIR3OYI46CAIWU5ETV

not attested not anchored not stored refs pending

Differentiability of the Shape Function for Directed Polymers in Continuous Space

Douglas Dow, Yuri Bakhtin

arxiv:2303.04224 v3 · 2023-03-07 · 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{KKT3JFKKCIR3OYI46CAIWU5ETV}

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

Classification of the limit shape for 1+1-dimensional FPP

Receipt and verification

First computed	2026-07-05T06:23:02.333078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a7b4954a1223b7611cf0808b53a49d51ea67ba98f651b61546660a9bd7adb1

Aliases

arxiv: 2303.04224 · arxiv_version: 2303.04224v3 · doi: 10.48550/arxiv.2303.04224 · pith_short_12: KKT3JFKKCIR3 · pith_short_16: KKT3JFKKCIR3OYI4 · pith_short_8: KKT3JFKK

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/KKT3JFKKCIR3OYI46CAIWU5ETV \
  | 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: 52a7b4954a1223b7611cf0808b53a49d51ea67ba98f651b61546660a9bd7adb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24046cf9f1616fddd1724548a0febecdd8207a2ec72996f0d121022ff60afc61",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-03-07T20:34:06Z",
    "title_canon_sha256": "fda8076f9321a9fbd8808910144a8c7e841cbd9d200fa9d22901da84240868e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.04224",
    "kind": "arxiv",
    "version": 3
  }
}