Pith Number

pith:AF7I4XNW

pith:2014:AF7I4XNWFEBYEBLDVKX5PRDJQK

not attested not anchored not stored refs pending

Large time asymptotic behavior of the compressible Navier-Stokes Equations in partial Space-Periodic Domains

Yin Huicheng, Zhang Lin, Zhu Lu

arxiv:1409.0708 v1 · 2014-09-02 · 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{AF7I4XNWFEBYEBLDVKX5PRDJQK}

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	2026-05-18T02:43:46.309460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017e8e5db62903820563aaafd7c469829b394372b31442e6090bb3fee5ffd8aa

Aliases

arxiv: 1409.0708 · arxiv_version: 1409.0708v1 · doi: 10.48550/arxiv.1409.0708 · pith_short_12: AF7I4XNWFEBY · pith_short_16: AF7I4XNWFEBYEBLD · pith_short_8: AF7I4XNW

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/AF7I4XNWFEBYEBLDVKX5PRDJQK \
  | 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: 017e8e5db62903820563aaafd7c469829b394372b31442e6090bb3fee5ffd8aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98ada2e6d3ebe884cdc87b0de4edec881648f5a72a26a5f7cabf09958ca4356",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-02T13:47:58Z",
    "title_canon_sha256": "4dbebae5d6e11c74c904229976fcbbf14552d6857feadc21b5fd8cfbcbeb40ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0708",
    "kind": "arxiv",
    "version": 1
  }
}