Pith Number

pith:SFO6J6P2

pith:2025:SFO6J6P2FDTF2XP6PDJC3DF66S

not attested not anchored not stored refs pending

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC)

Tiezheng Qian, Wei Jiang, Zeyu Zhou, Zhen Zhang

arxiv:2507.18048 v1 · 2025-07-24 · 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{SFO6J6P2FDTF2XP6PDJC3DF66S}

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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	2026-07-05T11:42:40.114448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

915de4f9fa28e65d5dfe78d22d8cbef49d61989cf90b5b6c9ce75c1cc1f6e9eb

Aliases

arxiv: 2507.18048 · arxiv_version: 2507.18048v1 · doi: 10.48550/arxiv.2507.18048 · pith_short_12: SFO6J6P2FDTF · pith_short_16: SFO6J6P2FDTF2XP6 · pith_short_8: SFO6J6P2

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/SFO6J6P2FDTF2XP6PDJC3DF66S \
  | 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: 915de4f9fa28e65d5dfe78d22d8cbef49d61989cf90b5b6c9ce75c1cc1f6e9eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "788b5dda88b57ace555de3923574370dcdb8bc2f61c5196bd0aee6c69c53f08a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-24T02:54:07Z",
    "title_canon_sha256": "c2cf26a03e74ce82edaa887d0f173b0fb588e957da8ef2940c86ad349b13304f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18048",
    "kind": "arxiv",
    "version": 1
  }
}