Pith Number

pith:W5JPBG6U

pith:2015:W5JPBG6UCW3BPCX3E3YV5CIFTO

not attested not anchored not stored refs pending

Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem

Masahiro Yamamoto, Mourad Bellassoued, Oleg Imanuvilov

arxiv:1506.02534 v1 · 2015-06-08 · 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{W5JPBG6UCW3BPCX3E3YV5CIFTO}

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	2026-05-18T01:22:39.823306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b752f09bd415b6178afb26f15e89059b9e9d1c1ee8e3c3689f6d402a8ea33c33

Aliases

arxiv: 1506.02534 · arxiv_version: 1506.02534v1 · doi: 10.48550/arxiv.1506.02534 · pith_short_12: W5JPBG6UCW3B · pith_short_16: W5JPBG6UCW3BPCX3 · pith_short_8: W5JPBG6U

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/W5JPBG6UCW3BPCX3E3YV5CIFTO \
  | 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: b752f09bd415b6178afb26f15e89059b9e9d1c1ee8e3c3689f6d402a8ea33c33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc2e482d23fdf33abfbcb1b5ef6f82e70d133824901fc352252dd1c57172c151",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-08T15:09:14Z",
    "title_canon_sha256": "d9f715531390ecbe02116b0f57ecae8c4492ffee611c110f1870e80bce68df06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02534",
    "kind": "arxiv",
    "version": 1
  }
}