Pith Number

pith:VLZO7KD2

pith:2022:VLZO7KD2RN6GHTDQVEO5U7AOGG

not attested not anchored not stored refs pending

Remarks on local regularity of axisymmetric solutions to the 3D Navier--Stokes equations

Hui Chen, Tai-Peng Tsai, Ting Zhang

arxiv:2201.01766 v1 · 2022-01-05 · 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{VLZO7KD2RN6GHTDQVEO5U7AOGG}

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	2026-07-05T03:46:16.523266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf2efa87a8b7c63cc70a91dda7c0e31a5349e650fad8c186071854c8d4b59d6

Aliases

arxiv: 2201.01766 · arxiv_version: 2201.01766v1 · doi: 10.48550/arxiv.2201.01766 · pith_short_12: VLZO7KD2RN6G · pith_short_16: VLZO7KD2RN6GHTDQ · pith_short_8: VLZO7KD2

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/VLZO7KD2RN6GHTDQVEO5U7AOGG \
  | 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: aaf2efa87a8b7c63cc70a91dda7c0e31a5349e650fad8c186071854c8d4b59d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13209a575e1b5859ff76eaaef03b788ba0eba515c76d709cfd186674d41a70b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-05T18:56:52Z",
    "title_canon_sha256": "4f307c3a7568d6e1c4b015f9425908bf3ae6da5aa35905e44cca0b2d273e3781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.01766",
    "kind": "arxiv",
    "version": 1
  }
}