Pith Number

pith:K7HR43UT

pith:2015:K7HR43UTV7XDIDLIKPGVW5GYGA

not attested not anchored not stored refs pending

Global well-posedness of the 2D Boussinesq equations with vertical dissipation

Edriss S. Titi, Jinkai Li

arxiv:1502.06180 v1 · 2015-02-22 · 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{K7HR43UTV7XDIDLIKPGVW5GYGA}

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	2026-05-18T01:18:47.651340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57cf1e6e93afee340d6853cd5b74d830047957846be7bbf90c738b6d534e19f3

Aliases

arxiv: 1502.06180 · arxiv_version: 1502.06180v1 · doi: 10.48550/arxiv.1502.06180 · pith_short_12: K7HR43UTV7XD · pith_short_16: K7HR43UTV7XDIDLI · pith_short_8: K7HR43UT

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/K7HR43UTV7XDIDLIKPGVW5GYGA \
  | 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: 57cf1e6e93afee340d6853cd5b74d830047957846be7bbf90c738b6d534e19f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddfe75be3b240759ed0214eda3bf1ff9b29a298f73040aeac52d549637e53d7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-22T05:32:24Z",
    "title_canon_sha256": "95d840422b954bac96232ded0c16c2ec7383b4b8b37da39d87a32acbec997720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06180",
    "kind": "arxiv",
    "version": 1
  }
}