Pith Number

pith:J4FNZOF6

pith:2012:J4FNZOF67J2IIHXNVJR62KA6VU

not attested not anchored not stored refs pending

Strong solutions, global regularity and stability of a hydrodynamic system modeling vesicle and fluid interactions

Hao Wu, Xiang Xu

arxiv:1202.4869 v2 · 2012-02-22 · 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{J4FNZOF67J2IIHXNVJR62KA6VU}

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	2026-05-18T03:32:45.406291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f0adcb8befa74841eedaa63ed281ead072c9118d74d6cd67611c26a7a698a40

Aliases

arxiv: 1202.4869 · arxiv_version: 1202.4869v2 · doi: 10.48550/arxiv.1202.4869 · pith_short_12: J4FNZOF67J2I · pith_short_16: J4FNZOF67J2IIHXN · pith_short_8: J4FNZOF6

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/J4FNZOF67J2IIHXNVJR62KA6VU \
  | 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: 4f0adcb8befa74841eedaa63ed281ead072c9118d74d6cd67611c26a7a698a40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4386ded2eaca53591b590f8a78362abb2a55b82779ea8eb494ed11e18721d37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-22T10:26:55Z",
    "title_canon_sha256": "45ec88d1559e95f554221b1f5ba4853dd73ce373fd2c560c8d272da9f402e3aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4869",
    "kind": "arxiv",
    "version": 2
  }
}