Pith Number

pith:UORN4V5E

pith:2018:UORN4V5ETPZYZVWDPBERPOPRNF

not attested not anchored not stored refs pending

Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces

Dat Cao, Luan Hoang

arxiv:1803.05502 v1 · 2018-03-14 · 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{UORN4V5ETPZYZVWDPBERPOPRNF}

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	2026-05-18T00:20:55.270574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3a2de57a49bf38cd6c3784917b9f1695041920b60c203dcda1147142b774d67

Aliases

arxiv: 1803.05502 · arxiv_version: 1803.05502v1 · doi: 10.48550/arxiv.1803.05502 · pith_short_12: UORN4V5ETPZY · pith_short_16: UORN4V5ETPZYZVWD · pith_short_8: UORN4V5E

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/UORN4V5ETPZYZVWDPBERPOPRNF \
  | 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: a3a2de57a49bf38cd6c3784917b9f1695041920b60c203dcda1147142b774d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4307ab633a75f98e5521ac35ec86b82eddab90253cf1a95151c8b44fb8593ad1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-14T20:29:19Z",
    "title_canon_sha256": "38227201f27f1e23090f31c8fae181953bad138c119cbc6a4be7a50e4f1a2d08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05502",
    "kind": "arxiv",
    "version": 1
  }
}