Pith Number

pith:SNNU7VER

pith:2021:SNNU7VER6K4IR7G6E7NYRWLM6P

not attested not anchored not stored refs pending

Global Existence for the unstable Cahn-Hilliard equation in 2D with a Shear Flow

Bingyang Hu, Dinghua Xu, Yeyu Zhang

arxiv:2109.05299 v5 · 2021-09-11 · 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{SNNU7VER6K4IR7G6E7NYRWLM6P}

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	2026-06-08T01:03:39.636998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

935b4fd491f2b888fcde27db88d96cf3d00f79ad2ec29debd75e0bd3aebc86ba

Aliases

arxiv: 2109.05299 · arxiv_version: 2109.05299v5 · doi: 10.48550/arxiv.2109.05299 · pith_short_12: SNNU7VER6K4I · pith_short_16: SNNU7VER6K4IR7G6 · pith_short_8: SNNU7VER

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/SNNU7VER6K4IR7G6E7NYRWLM6P \
  | 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: 935b4fd491f2b888fcde27db88d96cf3d00f79ad2ec29debd75e0bd3aebc86ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a9f61503a598460a9fa8a2c7889c51df097337d047901b8dc421281d474619",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-11T15:20:42Z",
    "title_canon_sha256": "39011eaa76fa4a80fc58914873522bf2fc4762e19846643f836702cc4a453448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05299",
    "kind": "arxiv",
    "version": 5
  }
}