Pith Number

pith:ZOH3TWUD

pith:2025:ZOH3TWUDUA5D4TJKFVIGO476IF

not attested not anchored not stored refs pending

Operator Spreading, Duality, and the Noisy Long-Range FKPP Equation

\'Eric Brunet, Tianci Zhou, Xiaolin Qi

arxiv:2505.06353 v1 · 2025-05-09 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOH3TWUDUA5D4TJKFVIGO476IF}

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	2026-07-05T11:01:07.721071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb8fb9da83a03a3e4d2a2d506773fe417fa4845a716db9065e4463a935664e3b

Aliases

arxiv: 2505.06353 · arxiv_version: 2505.06353v1 · doi: 10.48550/arxiv.2505.06353 · pith_short_12: ZOH3TWUDUA5D · pith_short_16: ZOH3TWUDUA5D4TJK · pith_short_8: ZOH3TWUD

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/ZOH3TWUDUA5D4TJKFVIGO476IF \
  | 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: cb8fb9da83a03a3e4d2a2d506773fe417fa4845a716db9065e4463a935664e3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "632e01b8f0ce8f07e8ef314daad30eb6087e4fce7335e8c07f6ebc947222b034",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-05-09T18:01:01Z",
    "title_canon_sha256": "b4da873c88fc894e3ee7899a12ecb1ed3738356ef082e4ee9b17c19f8a5987b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.06353",
    "kind": "arxiv",
    "version": 1
  }
}