Pith Number

pith:HEHIIW6P

pith:2025:HEHIIW6PXKNZ5ZXVFSUSNWAISB

not attested not anchored not stored refs pending

Interface fluctuations for $1$D stochastic Allen-Cahn equation -- singular regime

Shuhan Zhou, Weijun Xu

arxiv:2508.15319 v1 · 2025-08-21 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HEHIIW6PXKNZ5ZXVFSUSNWAISB}

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	2026-07-05T11:57:10.132384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

390e845bcfba9b9ee6f52ca926d808905318b7f0ea8e83a8fb5f7c28ad760e16

Aliases

arxiv: 2508.15319 · arxiv_version: 2508.15319v1 · doi: 10.48550/arxiv.2508.15319 · pith_short_12: HEHIIW6PXKNZ · pith_short_16: HEHIIW6PXKNZ5ZXV · pith_short_8: HEHIIW6P

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/HEHIIW6PXKNZ5ZXVFSUSNWAISB \
  | 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: 390e845bcfba9b9ee6f52ca926d808905318b7f0ea8e83a8fb5f7c28ad760e16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c61ea29383ff04d1ca795f23ef25f1bfef722ac9f7c8a23df1936cf3524d3f74",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-21T07:29:35Z",
    "title_canon_sha256": "3cf574a3f6110f6a8c9a2a90cbbf6acb93369a3e48e772cecfa4778d65d3c75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15319",
    "kind": "arxiv",
    "version": 1
  }
}