Pith Number

pith:YJX6CRSC

pith:2024:YJX6CRSCMFQ7JQHTWO6ON5F67B

not attested not anchored not stored refs pending

Time-dependent averages of a critical long-range stochastic heat equation

Ran Tao, Sefika Kuzgun

arxiv:2411.09058 v2 · 2024-11-13 · 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{YJX6CRSCMFQ7JQHTWO6ON5F67B}

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.

Receipt and verification

First computed	2026-06-19T16:09:47.076896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c26fe146426161f4c0f3b3bce6f4bef8638dbbd80f2b4d10b97302017c256609

Aliases

arxiv: 2411.09058 · arxiv_version: 2411.09058v2 · doi: 10.48550/arxiv.2411.09058 · pith_short_12: YJX6CRSCMFQ7 · pith_short_16: YJX6CRSCMFQ7JQHT · pith_short_8: YJX6CRSC

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/YJX6CRSCMFQ7JQHTWO6ON5F67B \
  | 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: c26fe146426161f4c0f3b3bce6f4bef8638dbbd80f2b4d10b97302017c256609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd0f99c20351cfdd2f23afaf4eb7fc4e1e92818ae0019b348425956e17e15c0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-13T22:34:54Z",
    "title_canon_sha256": "068bd9dbb8cd2e6069c47d93132af1aeeeca3620ce0c75b21b7db03147c28b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09058",
    "kind": "arxiv",
    "version": 2
  }
}