Pith Number

pith:XTAC3SCI

pith:2011:XTAC3SCI7KY2IMS5J6YXFKAKBQ

not attested not anchored not stored refs pending

On the existence of weak solutions to the three-dimensional steady compressible Navier-Stokes equations in bounded domains

Chunhui Zhou, Song Jiang

arxiv:1107.5701 v2 · 2011-07-28 · 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{XTAC3SCI7KY2IMS5J6YXFKAKBQ}

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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	2026-05-18T03:25:04.408175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc02dc848fab1a4325d4fb172a80a0c334b48fa48a7b93c1f1e47a3d9baa352

Aliases

arxiv: 1107.5701 · arxiv_version: 1107.5701v2 · doi: 10.48550/arxiv.1107.5701 · pith_short_12: XTAC3SCI7KY2 · pith_short_16: XTAC3SCI7KY2IMS5 · pith_short_8: XTAC3SCI

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/XTAC3SCI7KY2IMS5J6YXFKAKBQ \
  | 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: bcc02dc848fab1a4325d4fb172a80a0c334b48fa48a7b93c1f1e47a3d9baa352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e810b050ad8924bb6aaf5931b5750943bbac74dc59df2f1ff006b96262cbb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-28T12:52:47Z",
    "title_canon_sha256": "3f13a179be48613d0fc7c91a9e170cc8fd33d5440f2d27791c4ef2b43617cccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5701",
    "kind": "arxiv",
    "version": 2
  }
}