Pith Number

pith:RUK3OFBY

pith:2011:RUK3OFBYTAOJAKZHJJHTC2ZICU

not attested not anchored not stored refs pending

Uniqueness criterion of weak solutions for the 3D Navier-Stokes equations

Abdelhafid Younsi (Department of Mathematics, Algeria), Computer Science, University of Djelfa

arxiv:1104.3255 v8 · 2011-04-16 · 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{RUK3OFBYTAOJAKZHJJHTC2ZICU}

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	2026-05-18T01:12:31.113520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d15b71438981c902b274a4f316b28151bb1fe7cff6e1f31c74abd9307aa245c

Aliases

arxiv: 1104.3255 · arxiv_version: 1104.3255v8 · doi: 10.48550/arxiv.1104.3255 · pith_short_12: RUK3OFBYTAOJ · pith_short_16: RUK3OFBYTAOJAKZH · pith_short_8: RUK3OFBY

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/RUK3OFBYTAOJAKZHJJHTC2ZICU \
  | 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: 8d15b71438981c902b274a4f316b28151bb1fe7cff6e1f31c74abd9307aa245c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a315d78aaad9e88ce65969b881186738a0a9a7d3597ecbda1c10bd69f8986f4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-16T18:41:48Z",
    "title_canon_sha256": "9d83b2f09784d84d7a991bc95e90668dcb505827eb1f1b146c43fbf1aa8614e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3255",
    "kind": "arxiv",
    "version": 8
  }
}