Pith Number

pith:CQPKFG7Y

pith:2019:CQPKFG7YJ56Q3BSDNLVLMP5DTA

not attested not anchored not stored refs pending

Global existence of weak solutions to the Navier-Stokes-Korteweg equations

Paolo Antonelli, Stefano Spirito

arxiv:1903.02441 v1 · 2019-03-05 · 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{CQPKFG7YJ56Q3BSDNLVLMP5DTA}

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	2026-05-17T23:51:55.301775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

141ea29bf84f7d0d86436aeab63fa3983abb11db40561ab3c62898f55c705f30

Aliases

arxiv: 1903.02441 · arxiv_version: 1903.02441v1 · doi: 10.48550/arxiv.1903.02441 · pith_short_12: CQPKFG7YJ56Q · pith_short_16: CQPKFG7YJ56Q3BSD · pith_short_8: CQPKFG7Y

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/CQPKFG7YJ56Q3BSDNLVLMP5DTA \
  | 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: 141ea29bf84f7d0d86436aeab63fa3983abb11db40561ab3c62898f55c705f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "226887e9241338d576b3cf84df84a4267d90b87d71fda68734a3a8d1b6dd178e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-05T15:49:54Z",
    "title_canon_sha256": "777324f46bc639950009122a37e652dfd8d54c7531fadc26bd9fe57f2f12f951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02441",
    "kind": "arxiv",
    "version": 1
  }
}