Pith Number

pith:4ZUI2LDE

pith:2016:4ZUI2LDEOAEE5UYQ4XOKK33H7O

not attested not anchored not stored refs pending

Existence and non-uniqueness of global weak solutions to inviscid primitive and Boussinesq equations

Elisabetta Chiodaroli, Martin Mich\'alek

arxiv:1609.02444 v1 · 2016-09-08 · 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{4ZUI2LDEOAEE5UYQ4XOKK33H7O}

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	2026-05-18T00:47:10.843276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6688d2c6470084ed310e5dca56f67fb8b1698155eea07fdf5f27febcc140948

Aliases

arxiv: 1609.02444 · arxiv_version: 1609.02444v1 · doi: 10.48550/arxiv.1609.02444 · pith_short_12: 4ZUI2LDEOAEE · pith_short_16: 4ZUI2LDEOAEE5UYQ · pith_short_8: 4ZUI2LDE

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/4ZUI2LDEOAEE5UYQ4XOKK33H7O \
  | 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: e6688d2c6470084ed310e5dca56f67fb8b1698155eea07fdf5f27febcc140948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7411e19ee57ccfa62737de488e59548d58f905bac72307882c464a001be2bf06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-08T14:23:04Z",
    "title_canon_sha256": "8a23728fa4afe493a67723e8a8a70f104b933f7f7ffd5b3bb9a50ef843f7701d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02444",
    "kind": "arxiv",
    "version": 1
  }
}