Pith Number

pith:PUXDQFLJ

pith:2017:PUXDQFLJE5ACMFK366PQXCZEDJ

not attested not anchored not stored refs pending

Weak solutions of the convective Cahn-Hilliard equation with degenerate mobility

Xiaopeng Zhao

arxiv:1712.03007 v1 · 2017-12-08 · 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{PUXDQFLJE5ACMFK366PQXCZEDJ}

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	2026-05-18T00:28:28.614235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d2e381569274026155bf79f0b8b241a783d267dcd20bdb66fbef0eaa9e62357

Aliases

arxiv: 1712.03007 · arxiv_version: 1712.03007v1 · doi: 10.48550/arxiv.1712.03007 · pith_short_12: PUXDQFLJE5AC · pith_short_16: PUXDQFLJE5ACMFK3 · pith_short_8: PUXDQFLJ

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/PUXDQFLJE5ACMFK366PQXCZEDJ \
  | 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: 7d2e381569274026155bf79f0b8b241a783d267dcd20bdb66fbef0eaa9e62357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5cef4605d283913ef7ece192baed51932958b7b4e655b1a587666eb752d396b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-08T10:16:05Z",
    "title_canon_sha256": "550154ef7dc849d7b30643e75e32a886d2a210a990f444ad5ffede2e9fc0ea2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03007",
    "kind": "arxiv",
    "version": 1
  }
}