Pith Number

pith:L7IRLSRN

pith:2026:L7IRLSRNXDG5SRQN2C2BEOSALE

not attested not anchored not stored refs pending

On the non-uniqueness of solutions of the axi-symmetric swirl-free Navier-Stokes equations, I

Alexandru D. Ionescu, Hao Jia, Stan Palasek

arxiv:2606.07501 v1 · 2026-06-05 · 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{L7IRLSRNXDG5SRQN2C2BEOSALE}

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	2026-06-08T01:05:31.301578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd115ca2db8cdd9460dd0b4123a405928ca0e78c7f7c17d27e6b2c07564cadb

Aliases

arxiv: 2606.07501 · arxiv_version: 2606.07501v1 · doi: 10.48550/arxiv.2606.07501 · pith_short_12: L7IRLSRNXDG5 · pith_short_16: L7IRLSRNXDG5SRQN · pith_short_8: L7IRLSRN

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/L7IRLSRNXDG5SRQN2C2BEOSALE \
  | 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: 5fd115ca2db8cdd9460dd0b4123a405928ca0e78c7f7c17d27e6b2c07564cadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a3434e013ee35a39234686eb2041f9ce27b9f2724b47da0bdaedb99dc9004b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-05T17:53:56Z",
    "title_canon_sha256": "a5ebd6a3387a1f1d3ed2e0f978971fef9e70c72403c4a7482ecf88e1e1af901e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07501",
    "kind": "arxiv",
    "version": 1
  }
}