Pith Number

pith:QERJZIFB

pith:2013:QERJZIFBFLVVVQBGXY4UZP4AYT

not attested not anchored not stored refs pending

Navier-Stokes equations on a rapidly rotating sphere

Djoko Wirosoetisno

arxiv:1308.1045 v1 · 2013-08-05 · 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{QERJZIFBFLVVVQBGXY4UZP4AYT}

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	2026-05-18T03:16:40.851265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81229ca0a12aeb5ac026be394cbf80c4dff1bb12bc90ad7c199f89888a75362b

Aliases

arxiv: 1308.1045 · arxiv_version: 1308.1045v1 · doi: 10.48550/arxiv.1308.1045 · pith_short_12: QERJZIFBFLVV · pith_short_16: QERJZIFBFLVVVQBG · pith_short_8: QERJZIFB

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/QERJZIFBFLVVVQBGXY4UZP4AYT \
  | 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: 81229ca0a12aeb5ac026be394cbf80c4dff1bb12bc90ad7c199f89888a75362b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b8dfb5f2dabb602c7c563c48206a3e7ec897182b8e500a61aeb349b63aaabc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-05T17:06:35Z",
    "title_canon_sha256": "cd503d7482db2acf1ed2bd6357d94653754cf1fd7cad54fdb3045f40e2772856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1045",
    "kind": "arxiv",
    "version": 1
  }
}