Pith Number

pith:LPYVZVFH

pith:2017:LPYVZVFHM7NS3V323RE4ZTFCTS

not attested not anchored not stored refs pending

Asymptotic expansion for solutions of the Navier-Stokes equations with non-potential body forces

Luan T. Hoang, Vincent R. Martinez

arxiv:1707.07829 v2 · 2017-07-25 · 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{LPYVZVFHM7NS3V323RE4ZTFCTS}

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	2026-05-18T00:30:01.091650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bf15cd4a767db2dd77adc49cccca29ca7fb4f417aed62a7362e4a39cead6fed

Aliases

arxiv: 1707.07829 · arxiv_version: 1707.07829v2 · doi: 10.48550/arxiv.1707.07829 · pith_short_12: LPYVZVFHM7NS · pith_short_16: LPYVZVFHM7NS3V32 · pith_short_8: LPYVZVFH

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/LPYVZVFHM7NS3V323RE4ZTFCTS \
  | 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: 5bf15cd4a767db2dd77adc49cccca29ca7fb4f417aed62a7362e4a39cead6fed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d758ee524322964f54fb8d5aced508baee107ff35c2e8db770d37a3fcf07d9ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-25T06:31:59Z",
    "title_canon_sha256": "fcbffff4941128b537250e9b96cdeec11493ddcc030b5be89d6b783542efa3f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07829",
    "kind": "arxiv",
    "version": 2
  }
}