Pith Number

pith:4HQ4WK22

pith:2023:4HQ4WK22BDU4DR7RMSZOLEE4FP

not attested not anchored not stored refs pending

Multiple-interface solutions of one dimensional generalized parabolic Cahn-Hilliard equation

Chao Liu, Jun Yang

arxiv:2303.17288 v1 · 2023-03-30 · 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{4HQ4WK22BDU4DR7RMSZOLEE4FP}

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	2026-07-05T05:56:32.488178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e1cb2b5a08e9c1c7f164b2e5909c2bdb5d8acd03b584a446fb700fa3b6b853

Aliases

arxiv: 2303.17288 · arxiv_version: 2303.17288v1 · doi: 10.48550/arxiv.2303.17288 · pith_short_12: 4HQ4WK22BDU4 · pith_short_16: 4HQ4WK22BDU4DR7R · pith_short_8: 4HQ4WK22

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/4HQ4WK22BDU4DR7RMSZOLEE4FP \
  | 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: e1e1cb2b5a08e9c1c7f164b2e5909c2bdb5d8acd03b584a446fb700fa3b6b853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fec83a7b6915f8b3f1d915d1ed60c622102ff6827d2f5ae71963a187db3d54b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-03-30T10:53:13Z",
    "title_canon_sha256": "3a29c831b2bd851632c068297ba808a10f052693c806745a178916532acae5c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.17288",
    "kind": "arxiv",
    "version": 1
  }
}