Pith Number

pith:AJ6JT5TJ

pith:2015:AJ6JT5TJJGZDHAGULDUHQSKR2I

not attested not anchored not stored refs pending

On the compactness of finite energy weak solutions to the quantum Navier-Stokes equations

Paolo Antonelli, Stefano Spirito

arxiv:1512.07496 v2 · 2015-12-23 · 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{AJ6JT5TJJGZDHAGULDUHQSKR2I}

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	2026-05-18T01:15:00.106009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

027c99f66949b23380d458e8784951d22323b0be18e43a4015cbc1c001bfb8c5

Aliases

arxiv: 1512.07496 · arxiv_version: 1512.07496v2 · doi: 10.48550/arxiv.1512.07496 · pith_short_12: AJ6JT5TJJGZD · pith_short_16: AJ6JT5TJJGZDHAGU · pith_short_8: AJ6JT5TJ

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/AJ6JT5TJJGZDHAGULDUHQSKR2I \
  | 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: 027c99f66949b23380d458e8784951d22323b0be18e43a4015cbc1c001bfb8c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bb6d228f38911dd19ba2b85fd8b63635431de979ee90a165d0b1a10091e2f2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-23T14:41:17Z",
    "title_canon_sha256": "1d25e363fae16a4dc925935150751e7114bc8e143bd3b02070bea5518b787978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07496",
    "kind": "arxiv",
    "version": 2
  }
}