Pith Number

pith:ZN7ZMIJ3

pith:2016:ZN7ZMIJ3UBDVFNP7PHQUAWHA2E

not attested not anchored not stored refs pending

Global well-posedness of three-dimensional Navier-Stokes equations with partial viscosity under helical symmetry

Dongjuan Niu, Jitao Liu

arxiv:1611.08478 v1 · 2016-11-25 · 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{ZN7ZMIJ3UBDVFNP7PHQUAWHA2E}

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	2026-05-18T00:41:38.391082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7f96213ba04752b5ff79e14058e0d11b65a2da3d75683b15eb25c4d6e6b3c2

Aliases

arxiv: 1611.08478 · arxiv_version: 1611.08478v1 · doi: 10.48550/arxiv.1611.08478 · pith_short_12: ZN7ZMIJ3UBDV · pith_short_16: ZN7ZMIJ3UBDVFNP7 · pith_short_8: ZN7ZMIJ3

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/ZN7ZMIJ3UBDVFNP7PHQUAWHA2E \
  | 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: cb7f96213ba04752b5ff79e14058e0d11b65a2da3d75683b15eb25c4d6e6b3c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea81495ab015d17a3375ad43a73cb39b5f12f43a6c6fea3aa5774d7defe9f44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-25T14:55:33Z",
    "title_canon_sha256": "8acad63b5a409c6e2a090693d2ad54cda367bfead37cbd3265660fb8d6c6c238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08478",
    "kind": "arxiv",
    "version": 1
  }
}