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Pith Number

pith:O3MPJ6LB

pith:2017:O3MPJ6LBPT4CF6I2Y27JC4WSV2
not attested not anchored not stored refs pending

On the regularity of solutions to the 2D Boussinesq equations satisfying Type I conditions

Dongho Chae, Joerg Wolf

arxiv:1709.02030 v3 · 2017-09-07 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O3MPJ6LBPT4CF6I2Y27JC4WSV2}

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 2026-05-18T00:03:09.526674Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

76d8f4f9617cf822f91ac6be9172d2aead403a541050d04dd22c380757c98456

Aliases

arxiv: 1709.02030 · arxiv_version: 1709.02030v3 · doi: 10.48550/arxiv.1709.02030 · pith_short_12: O3MPJ6LBPT4C · pith_short_16: O3MPJ6LBPT4CF6I2 · pith_short_8: O3MPJ6LB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O3MPJ6LBPT4CF6I2Y27JC4WSV2 \
  | 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: 76d8f4f9617cf822f91ac6be9172d2aead403a541050d04dd22c380757c98456
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "78754a1d5a18699366004ab606a959413d6cb844817ecc1125e7794dc2fa0408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-07T00:03:06Z",
    "title_canon_sha256": "3fd5673f788f1ff2a7e10903e9e5dbffba3bd672f0f7789a3962630d6d6376f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02030",
    "kind": "arxiv",
    "version": 3
  }
}