Pith Number

pith:XOWI6US2

pith:2014:XOWI6US2PM3DMKNAR4FGDXHH7Z

not attested not anchored not stored refs pending

Well-Posedness for the Motion of Physical Vacuum of the Three-dimensional Compressible Euler Equations with or without Self-Gravitation

Huihui Zeng, Tao Luo, Zhouping Xin

arxiv:1402.3640 v1 · 2014-02-15 · 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{XOWI6US2PM3DMKNAR4FGDXHH7Z}

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	2026-05-18T02:46:04.421261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbac8f525a7b363629a08f0a61dce7fe58ce15eb07360a69e46906527292c9fc

Aliases

arxiv: 1402.3640 · arxiv_version: 1402.3640v1 · doi: 10.48550/arxiv.1402.3640 · pith_short_12: XOWI6US2PM3D · pith_short_16: XOWI6US2PM3DMKNA · pith_short_8: XOWI6US2

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/XOWI6US2PM3DMKNAR4FGDXHH7Z \
  | 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: bbac8f525a7b363629a08f0a61dce7fe58ce15eb07360a69e46906527292c9fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4079ae5292d3e011167f90c1d1f625bbbac4a59c1faba57268cbb794653a3568",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-15T03:36:29Z",
    "title_canon_sha256": "3afcbb9d56f69adce7997fb54f93bc5f8eb6fdde6b4f076c7f45c3c9cbcf44f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3640",
    "kind": "arxiv",
    "version": 1
  }
}