Pith Number

pith:6S3PT566

pith:2018:6S3PT566Q5WZ4X337IUEMBUAWM

not attested not anchored not stored refs pending

Asymptotic expansions in a general system of decaying functions for solutions of the Navier-Stokes equations

Dat Cao, Luan Hoang

arxiv:1808.10535 v1 · 2018-08-30 · 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{6S3PT566Q5WZ4X337IUEMBUAWM}

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	2026-05-18T00:06:45.429660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4b6f9f7de876d9e5f7bfa28460680b313d1086d08db00f929436d86af42b1c8

Aliases

arxiv: 1808.10535 · arxiv_version: 1808.10535v1 · doi: 10.48550/arxiv.1808.10535 · pith_short_12: 6S3PT566Q5WZ · pith_short_16: 6S3PT566Q5WZ4X33 · pith_short_8: 6S3PT566

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/6S3PT566Q5WZ4X337IUEMBUAWM \
  | 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: f4b6f9f7de876d9e5f7bfa28460680b313d1086d08db00f929436d86af42b1c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e19fb4918b5a3be31b9b34f4340cdd75ec060287eafa69cc92fcca3e7bbc4d54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-30T22:00:29Z",
    "title_canon_sha256": "0007855c6c2ef97a903d50d0207aeb3ddb5a221aca0c49637027476e198e8fbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10535",
    "kind": "arxiv",
    "version": 1
  }
}