Pith Number

pith:DSZJ7C3T

pith:2026:DSZJ7C3TR7ENQFS5KG4SJXKEFS

not attested not anchored not stored refs pending

The linear Cahn-Hilliard equation with an interface

Alain Miranville, Andreas Chatziafratis, Tohru Ozawa

arxiv:2605.20130 v1 · 2026-05-19 · math.AP · math-ph · math.CV · 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{DSZJ7C3TR7ENQFS5KG4SJXKEFS}

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	2026-05-20T02:06:03.458862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb29f8b738fc8d8165d51b924dd442c95a6cf15a534049b285a1e8a230e19d2

Aliases

arxiv: 2605.20130 · arxiv_version: 2605.20130v1 · doi: 10.48550/arxiv.2605.20130 · pith_short_12: DSZJ7C3TR7EN · pith_short_16: DSZJ7C3TR7ENQFS5 · pith_short_8: DSZJ7C3T

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/DSZJ7C3TR7ENQFS5KG4SJXKEFS \
  | 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: 1cb29f8b738fc8d8165d51b924dd442c95a6cf15a534049b285a1e8a230e19d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca7a79c05c137dd20793d853c633414953abc291b59176a224b39794d7cee4f",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-19T17:15:32Z",
    "title_canon_sha256": "498c05bb044f75d572fdb52197085819eb4ac8f120212976549c1e2b60f4a404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20130",
    "kind": "arxiv",
    "version": 1
  }
}