Pith Number

pith:ZJ2KX4GU

pith:2019:ZJ2KX4GUUW5NSBQ7NQT4Z7NM3V

not attested not anchored not stored refs pending

Computability of the Solutions to Navier-Stokes Equations via Recursive Approximation

Martin Ziegler, Ning Zhong, Shu-Ming Sun

arxiv:1908.01226 v1 · 2019-08-03 · 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{ZJ2KX4GUUW5NSBQ7NQT4Z7NM3V}

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	2026-07-04T23:51:28.247363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca74abf0d4a5bad9061f6c27ccfdacdd7c0bf4975c76eb16d690e8d45f5bd71c

Aliases

arxiv: 1908.01226 · arxiv_version: 1908.01226v1 · doi: 10.48550/arxiv.1908.01226 · pith_short_12: ZJ2KX4GUUW5N · pith_short_16: ZJ2KX4GUUW5NSBQ7 · pith_short_8: ZJ2KX4GU

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/ZJ2KX4GUUW5NSBQ7NQT4Z7NM3V \
  | 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: ca74abf0d4a5bad9061f6c27ccfdacdd7c0bf4975c76eb16d690e8d45f5bd71c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ced0de8409802303647fc7e44b6dd2ecfe4ab4efba8e56e87d6ef6962e9aca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-03T20:20:21Z",
    "title_canon_sha256": "2d16182e669a9f0ab936f73ea4e9b5a4b793f7b38b7c0d7a45cf8d4e0c241af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01226",
    "kind": "arxiv",
    "version": 1
  }
}