Pith Number

pith:5OXYLQHP

pith:2015:5OXYLQHPUUKPRUVALVRVFNSJ5E

not attested not anchored not stored refs pending

Upper bounds for the attractor dimension of damped Navier-Stokes equations in $\mathbb R^2$

Alexei Ilyin, Kavita Patni, Sergey Zelik

arxiv:1503.03415 v1 · 2015-03-11 · 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{5OXYLQHPUUKPRUVALVRVFNSJ5E}

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	2026-05-18T02:24:58.949124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebaf85c0efa514f8d2a05d6352b649e936b379629d54ed932255d7dea7644d2f

Aliases

arxiv: 1503.03415 · arxiv_version: 1503.03415v1 · doi: 10.48550/arxiv.1503.03415 · pith_short_12: 5OXYLQHPUUKP · pith_short_16: 5OXYLQHPUUKPRUVA · pith_short_8: 5OXYLQHP

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/5OXYLQHPUUKPRUVALVRVFNSJ5E \
  | 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: ebaf85c0efa514f8d2a05d6352b649e936b379629d54ed932255d7dea7644d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d3397bde2ce28eee9808d23068745c8d1df93a27f1cdabb7ef48f968ea84c1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-11T16:55:26Z",
    "title_canon_sha256": "75044ed2c54796aa7819185235dc4d057a0e2176b06fd4e12cb2f1d03bc9c57c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03415",
    "kind": "arxiv",
    "version": 1
  }
}