Pith Number

pith:BQN2ECIY

pith:2011:BQN2ECIYHXRXEM2LEGK22BRNWS

not attested not anchored not stored refs pending

The existence theorem for steady Navier--Stokes equations in the axially symmetric case

Konstantin Pileckas, Mikhail Korobkov, Remigio Russo

arxiv:1110.6301 v2 · 2011-10-28 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQN2ECIYHXRXEM2LEGK22BRNWS}

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	2026-05-18T03:58:12.534664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c1ba209183de372334b2195ad062db48dfae16c59ab0e6ddc17762a122dd706

Aliases

arxiv: 1110.6301 · arxiv_version: 1110.6301v2 · doi: 10.48550/arxiv.1110.6301 · pith_short_12: BQN2ECIYHXRX · pith_short_16: BQN2ECIYHXRXEM2L · pith_short_8: BQN2ECIY

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/BQN2ECIYHXRXEM2LEGK22BRNWS \
  | 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: 0c1ba209183de372334b2195ad062db48dfae16c59ab0e6ddc17762a122dd706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "117151cb91bb26e3f80a447674018543eae3d99e19af12ae3f1f85774e6972e2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-28T11:29:13Z",
    "title_canon_sha256": "f463737f3526c42e901f873fce22a5b005badcf5def7085840d6d8804d7b717a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6301",
    "kind": "arxiv",
    "version": 2
  }
}