Pith Number

pith:HCWPQDM7

pith:2016:HCWPQDM75ZH2M3IZOCESPCHJY4

not attested not anchored not stored refs pending

Dynamical Behavior for the Solutions of the Navier-Stokes Equation

Baoxiang Wang, Kuijie Li, Tohru Ozawa

arxiv:1608.06680 v1 · 2016-08-24 · 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{HCWPQDM75ZH2M3IZOCESPCHJY4}

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	2026-05-18T01:07:57.747139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38acf80d9fee4fa66d1970892788e9c71efc07ba35761c4a67fffef1520af2e5

Aliases

arxiv: 1608.06680 · arxiv_version: 1608.06680v1 · doi: 10.48550/arxiv.1608.06680 · pith_short_12: HCWPQDM75ZH2 · pith_short_16: HCWPQDM75ZH2M3IZ · pith_short_8: HCWPQDM7

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/HCWPQDM75ZH2M3IZOCESPCHJY4 \
  | 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: 38acf80d9fee4fa66d1970892788e9c71efc07ba35761c4a67fffef1520af2e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56feb9c7fa0a3265a28b6531863ff1faae29382b152bac1048d2bea6951ea1cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-24T01:09:53Z",
    "title_canon_sha256": "8e76efe272bf37a2b07c28b070803b54473ae58c401c2673221a29e53743d7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06680",
    "kind": "arxiv",
    "version": 1
  }
}