Pith Number

pith:WTAIPVOB

pith:2009:WTAIPVOBSMBQE5G5OHUL4QGY5R

not attested not anchored not stored refs pending

Global well-posedness for the 3D rotating Navier-Stokes equations with highly oscillating initial data

Changxing Miao, Qionglei Chen, Zhifei Zhang

arxiv:0910.3064 v2 · 2009-10-16 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTAIPVOBSMBQE5G5OHUL4QGY5R}

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	2026-05-18T03:27:52.544505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c087d5c193030274dd71e8be40d8ec4e05b59687f1c133431d8de24bc0a515

Aliases

arxiv: 0910.3064 · arxiv_version: 0910.3064v2 · doi: 10.48550/arxiv.0910.3064 · pith_short_12: WTAIPVOBSMBQ · pith_short_16: WTAIPVOBSMBQE5G5 · pith_short_8: WTAIPVOB

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/WTAIPVOBSMBQE5G5OHUL4QGY5R \
  | 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: b4c087d5c193030274dd71e8be40d8ec4e05b59687f1c133431d8de24bc0a515

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7f3d52dda9c2f320fa158ea074f3cf690ed7603f541d829456028b269578d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-10-16T09:21:23Z",
    "title_canon_sha256": "1d2c11ec875ea1a16bdddb6d81a5888016b4a45377e314b253736ea0727b33d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3064",
    "kind": "arxiv",
    "version": 2
  }
}