Pith Number

pith:QTMOWPUU

pith:2010:QTMOWPUU6LF2N5DEIIXRPX3Y3L

not attested not anchored not stored refs pending

Well-posedness of the Hele-Shaw-Cahn-Hilliard system

Xiaoming Wang, Zhifei Zhang

arxiv:1012.2944 v1 · 2010-12-14 · 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{QTMOWPUU6LF2N5DEIIXRPX3Y3L}

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	2026-05-18T04:33:19.003565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84d8eb3e94f2cba6f464422f17df78dae6b9ae175fae8b4920fdfb809152d151

Aliases

arxiv: 1012.2944 · arxiv_version: 1012.2944v1 · doi: 10.48550/arxiv.1012.2944 · pith_short_12: QTMOWPUU6LF2 · pith_short_16: QTMOWPUU6LF2N5DE · pith_short_8: QTMOWPUU

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/QTMOWPUU6LF2N5DEIIXRPX3Y3L \
  | 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: 84d8eb3e94f2cba6f464422f17df78dae6b9ae175fae8b4920fdfb809152d151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09885191b4607cec7894b328d638972d7b0ec57413a55465d97c264fb0fd8f14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-14T06:19:18Z",
    "title_canon_sha256": "abac054b09fea3688202d59e148327a80d99ebb19b3165be516a459a469bfa81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2944",
    "kind": "arxiv",
    "version": 1
  }
}