Pith Number

pith:KSDHCU4G

pith:2013:KSDHCU4GR4I5YEOI2WOT6JQFV2

not attested not anchored not stored refs pending

Global weak solution for a coupled compressible Navier-Stokes and Q-tensor system

Cheng Yu, Dehua Wang, Xiang Xu

arxiv:1307.7316 v1 · 2013-07-27 · 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{KSDHCU4GR4I5YEOI2WOT6JQFV2}

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	2026-05-18T03:17:23.601484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54867153868f11dc11c8d59d3f2605ae8eaa0fdd9d9587249121163a1e946d5b

Aliases

arxiv: 1307.7316 · arxiv_version: 1307.7316v1 · doi: 10.48550/arxiv.1307.7316 · pith_short_12: KSDHCU4GR4I5 · pith_short_16: KSDHCU4GR4I5YEOI · pith_short_8: KSDHCU4G

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/KSDHCU4GR4I5YEOI2WOT6JQFV2 \
  | 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: 54867153868f11dc11c8d59d3f2605ae8eaa0fdd9d9587249121163a1e946d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d5a2eaec689481d3fe56fbbda60bcb53f54d820b8a1eee8f1094f7c64cc36b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-27T22:08:03Z",
    "title_canon_sha256": "3e92e5466fd5e4cf42f6d5a0b295d9f17f2a001e18d3e27c6a3372cef192f17e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7316",
    "kind": "arxiv",
    "version": 1
  }
}