Pith Number

pith:UALXZYWP

pith:2024:UALXZYWPWBV6YI37ZHDOSTUMPA

not attested not anchored not stored refs pending

A blow up solution of the Navier-Stokes equations with a critical force

Qi S. Zhang

arxiv:2411.13896 v3 · 2024-11-21 · 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{UALXZYWPWBV6YI37ZHDOSTUMPA}

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	2026-07-05T09:55:14.384425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0177ce2cfb06bec237fc9c6e94e8c7816c4c5902bc7d7b335330a75af939c23

Aliases

arxiv: 2411.13896 · arxiv_version: 2411.13896v3 · doi: 10.48550/arxiv.2411.13896 · pith_short_12: UALXZYWPWBV6 · pith_short_16: UALXZYWPWBV6YI37 · pith_short_8: UALXZYWP

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/UALXZYWPWBV6YI37ZHDOSTUMPA \
  | 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: a0177ce2cfb06bec237fc9c6e94e8c7816c4c5902bc7d7b335330a75af939c23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57583a383f3402e0dda7110b0cc61418197b316194cb8ea68e3fe0f9d24ab8ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-21T07:16:41Z",
    "title_canon_sha256": "3308ab0142107008dee5e17e78c71c4ebaa8870fb45d762d5b9894723b209bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13896",
    "kind": "arxiv",
    "version": 3
  }
}