Pith Number

pith:DCNV5OUU

pith:2017:DCNV5OUUAD4UCQ3BAMPTFNW7VP

not attested not anchored not stored refs pending

Global well-posedness for the 2D Boussinesq equations with a velocity damping term

Renhui Wan

arxiv:1708.02695 v4 · 2017-08-09 · 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{DCNV5OUUAD4UCQ3BAMPTFNW7VP}

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	2026-05-17T23:57:32.731238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

189b5eba9400f9414361031f32b6dfabfdaf3051354fe617733de78a63a4818e

Aliases

arxiv: 1708.02695 · arxiv_version: 1708.02695v4 · doi: 10.48550/arxiv.1708.02695 · pith_short_12: DCNV5OUUAD4U · pith_short_16: DCNV5OUUAD4UCQ3B · pith_short_8: DCNV5OUU

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/DCNV5OUUAD4UCQ3BAMPTFNW7VP \
  | 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: 189b5eba9400f9414361031f32b6dfabfdaf3051354fe617733de78a63a4818e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959ceaae0c7c185c4d03b61d52476a1b33f5a420765b340a47b3296c22ff06b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-09T02:16:33Z",
    "title_canon_sha256": "d2bdc93cc3ba166712491ae4f36835b2c43caf365d9b401f4d33f183f175b87f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02695",
    "kind": "arxiv",
    "version": 4
  }
}