Pith Number

pith:TLKTJH73

pith:2010:TLKTJH73IFPTVPUE7AJZHFUU5C

not attested not anchored not stored refs pending

A strengthening of the energy inequality for the Leray-Hopf solutions of the 3D periodic Navier-Stokes equations

Radu Dascaliuc

arxiv:1010.5535 v1 · 2010-10-26 · 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{TLKTJH73IFPTVPUE7AJZHFUU5C}

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	2026-05-18T04:38:16.478020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad5349ffb415f3abe84f813939694e89313301de84a3fa2832cc5fc40f73536

Aliases

arxiv: 1010.5535 · arxiv_version: 1010.5535v1 · doi: 10.48550/arxiv.1010.5535 · pith_short_12: TLKTJH73IFPT · pith_short_16: TLKTJH73IFPTVPUE · pith_short_8: TLKTJH73

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/TLKTJH73IFPTVPUE7AJZHFUU5C \
  | 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: 9ad5349ffb415f3abe84f813939694e89313301de84a3fa2832cc5fc40f73536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794c412c746cd9d56cbe7be4611346f6794d67b4ec42ddd9586ae7a62acd7247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-26T22:50:41Z",
    "title_canon_sha256": "8d6f0f97c7bd97fb42cbbdbe19c7ed7332360318f448fdfd0d28fc9b69607e16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5535",
    "kind": "arxiv",
    "version": 1
  }
}