Pith Number

pith:GOMC7BSA

pith:2011:GOMC7BSAXQEBMZKB6AA7U6NYOU

not attested not anchored not stored refs pending

The 2D Boussinesq equations with logarithmically supercritical velocities

Dongho Chae, Jiahong Wu

arxiv:1111.2082 v1 · 2011-11-09 · 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{GOMC7BSAXQEBMZKB6AA7U6NYOU}

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	2026-05-18T04:08:44.196975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33982f8640bc08166541f001fa79b87515be3fda6fb9617709d151a58eb193a6

Aliases

arxiv: 1111.2082 · arxiv_version: 1111.2082v1 · doi: 10.48550/arxiv.1111.2082 · pith_short_12: GOMC7BSAXQEB · pith_short_16: GOMC7BSAXQEBMZKB · pith_short_8: GOMC7BSA

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/GOMC7BSAXQEBMZKB6AA7U6NYOU \
  | 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: 33982f8640bc08166541f001fa79b87515be3fda6fb9617709d151a58eb193a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d536078f38932181d11a8e358b11d0183807a40326f35b3b15e372597b341d46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-09T00:20:10Z",
    "title_canon_sha256": "491e4a86622a14f46b929e0f5de69119dc41b2982ee4ddf8cac0ef175551453a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2082",
    "kind": "arxiv",
    "version": 1
  }
}