Pith Number

pith:SA2IHD7M

pith:2011:SA2IHD7MC4LR44PN7N5Y3CAQP2

not attested not anchored not stored refs pending

Global well-posedness of compressible Navier-Stokes equations for some classes of large initial data

Chao Wang, Wei Wang, Zhifei Zhang

arxiv:1111.2203 v2 · 2011-11-09 · 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{SA2IHD7MC4LR44PN7N5Y3CAQP2}

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	2026-05-18T04:08:23.599450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9034838fec17171e71edfb7b8d88107e8bef46ab29fcb80161e4775dfe892ba1

Aliases

arxiv: 1111.2203 · arxiv_version: 1111.2203v2 · doi: 10.48550/arxiv.1111.2203 · pith_short_12: SA2IHD7MC4LR · pith_short_16: SA2IHD7MC4LR44PN · pith_short_8: SA2IHD7M

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/SA2IHD7MC4LR44PN7N5Y3CAQP2 \
  | 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: 9034838fec17171e71edfb7b8d88107e8bef46ab29fcb80161e4775dfe892ba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d26eeecfcfde451ee8b8f2119e0b34a917e53b90026c9fa4def6d04fc9bbfcd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-09T13:38:04Z",
    "title_canon_sha256": "9975ed71eadabe7930f1a95c241cf110f6fc4716b89996b200eeae780b153346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2203",
    "kind": "arxiv",
    "version": 2
  }
}