Pith Number

pith:WI3RC5PM

pith:2016:WI3RC5PMQJ4X23AVX6YDS72IYX

not attested not anchored not stored refs pending

Global in Time Classical Solutions to the 3D Quasi-geostrophic System for Large Initial Data

Alexis F. Vasseur, Matthew D. Novack

arxiv:1610.04764 v3 · 2016-10-15 · 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{WI3RC5PMQJ4X23AVX6YDS72IYX}

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	2026-05-18T00:26:01.774167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2371175ec82797d6c15bfb0397f48c5c8fbc3b02c3fcf2a3962f960bb41d23f

Aliases

arxiv: 1610.04764 · arxiv_version: 1610.04764v3 · doi: 10.48550/arxiv.1610.04764 · pith_short_12: WI3RC5PMQJ4X · pith_short_16: WI3RC5PMQJ4X23AV · pith_short_8: WI3RC5PM

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/WI3RC5PMQJ4X23AVX6YDS72IYX \
  | 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: b2371175ec82797d6c15bfb0397f48c5c8fbc3b02c3fcf2a3962f960bb41d23f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0ce300c1241ed25524a10e30572332398fc04b69ec78415f6f54d2e473592a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-15T16:59:31Z",
    "title_canon_sha256": "7e6b38d4ce0a3c0b9d490d94764575ec9de173521853f4ea35eccc66aaa5f57f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04764",
    "kind": "arxiv",
    "version": 3
  }
}