Pith Number

pith:NXNGFFI3

pith:2019:NXNGFFI3BJVJOQMP45TBE6ZN2U

not attested not anchored not stored refs pending

Global well-posedness of the 3D Cahn-Hilliard equations

Caifeng Liu, Zhenbang Li

arxiv:1904.06191 v1 · 2019-04-11 · 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{NXNGFFI3BJVJOQMP45TBE6ZN2U}

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	2026-05-17T23:48:43.860789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dda62951b0a6a97418fe766127b2dd5072c306f3b9753ced74a45c63d1f5397

Aliases

arxiv: 1904.06191 · arxiv_version: 1904.06191v1 · doi: 10.48550/arxiv.1904.06191 · pith_short_12: NXNGFFI3BJVJ · pith_short_16: NXNGFFI3BJVJOQMP · pith_short_8: NXNGFFI3

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/NXNGFFI3BJVJOQMP45TBE6ZN2U \
  | 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: 6dda62951b0a6a97418fe766127b2dd5072c306f3b9753ced74a45c63d1f5397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e84dc5e002cada77ebf6e01d2f456244ac3a64b409b928f66b8f647084256df5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-11T04:04:31Z",
    "title_canon_sha256": "ba7dc4bdca04c9e10d8d4a374706e4d1c0bc534e2f9011b421a7428f115fce4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06191",
    "kind": "arxiv",
    "version": 1
  }
}