Pith Number

pith:BAWIVE6E

pith:2021:BAWIVE6EOHOZKPI4X3IPQYZ74L

not attested not anchored not stored refs pending

A Review on the Cahn-Hilliard Equation: Classical Results and Recent Advances in Dynamic Boundary Conditions

Hao Wu

arxiv:2112.13812 v1 · 2021-12-27 · 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{BAWIVE6EOHOZKPI4X3IPQYZ74L}

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.

Cited by

2 papers in Pith

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle

Quantitative Homogenization of a Cahn--Hilliard System with Source Term in Periodically Perforated Domains

Receipt and verification

First computed	2026-07-05T04:32:54.336281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

082c8a93c471dd953d1cbed0f8633fe2e9730a07ae663d9fb18c480244c26b4d

Aliases

arxiv: 2112.13812 · arxiv_version: 2112.13812v1 · doi: 10.48550/arxiv.2112.13812 · pith_short_12: BAWIVE6EOHOZ · pith_short_16: BAWIVE6EOHOZKPI4 · pith_short_8: BAWIVE6E

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/BAWIVE6EOHOZKPI4X3IPQYZ74L \
  | 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: 082c8a93c471dd953d1cbed0f8633fe2e9730a07ae663d9fb18c480244c26b4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ffb55e057a1b0bded049381d791edcd5675e74b3043af75beee0fdfd6d23cad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-12-27T18:03:20Z",
    "title_canon_sha256": "56d34d9b6407459018d927ab1e6555a6c095fc3cb1ea647404b46a32d536b92d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.13812",
    "kind": "arxiv",
    "version": 1
  }
}