Pith Number

pith:4N25XUAS

pith:2015:4N25XUASKKULFQOPFQNDVZYHQ2

not attested not anchored not stored refs pending

Nonuniqueness of solutions of the Navier-Stokes equations on negatively curved Riemannian manifolds

Leandro Lichtenfelz

arxiv:1502.06269 v2 · 2015-02-22 · math.AP · 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{4N25XUASKKULFQOPFQNDVZYHQ2}

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	2026-05-18T01:35:43.478173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e375dbd01252a8b2c1cf2c1a3ae70786a039169a28b69e3ee4e90f92c5446e01

Aliases

arxiv: 1502.06269 · arxiv_version: 1502.06269v2 · doi: 10.48550/arxiv.1502.06269 · pith_short_12: 4N25XUASKKUL · pith_short_16: 4N25XUASKKULFQOP · pith_short_8: 4N25XUAS

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/4N25XUASKKULFQOPFQNDVZYHQ2 \
  | 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: e375dbd01252a8b2c1cf2c1a3ae70786a039169a28b69e3ee4e90f92c5446e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f77d54f61db461c23a09fed870857047001bdb4d604b4d7e6b7b2b1d93e5726f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-22T20:47:08Z",
    "title_canon_sha256": "1528e9e1f924332db1a55ca120446b973507ec405acddee93ad9a432ce0bb022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06269",
    "kind": "arxiv",
    "version": 2
  }
}