Pith Number

pith:C7FPCQ5N

pith:2017:C7FPCQ5NNC6IJ3FWVLPH2JSVCC

not attested not anchored not stored refs pending

Numerical approximations of the Cahn-Hilliard and Allen-Cahn Equations with general nonlinear potential using the Invariant Energy Quadratization approach

Guodong Zhang, Xiaofeng Yang

arxiv:1712.02760 v1 · 2017-12-07 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7FPCQ5NNC6IJ3FWVLPH2JSVCC}

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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.

Cited by

1 paper in Pith

Energy stable schemes for gradient flows based on novel auxiliary variable with energy bounded above

Receipt and verification

First computed	2026-05-18T00:28:32.966132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17caf143ad68bc84ecb6aade7d265510a9cc1efc481e669e7aecc2f2184ab333

Aliases

arxiv: 1712.02760 · arxiv_version: 1712.02760v1 · doi: 10.48550/arxiv.1712.02760 · pith_short_12: C7FPCQ5NNC6I · pith_short_16: C7FPCQ5NNC6IJ3FW · pith_short_8: C7FPCQ5N

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/C7FPCQ5NNC6IJ3FWVLPH2JSVCC \
  | 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: 17caf143ad68bc84ecb6aade7d265510a9cc1efc481e669e7aecc2f2184ab333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7dc9b38176538e78b31e5a373488b2062e91d9e28e83d38415be3873353f98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-07T18:14:18Z",
    "title_canon_sha256": "45598aa28c0130095591d51292938735f83acc046eeeaf201db4fa35b5eb3ac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02760",
    "kind": "arxiv",
    "version": 1
  }
}