Pith Number

pith:MGQOZX2X

pith:2018:MGQOZX2XZTLBB2VSRKTEYNMSS3

not attested not anchored not stored refs pending

On the well-posedness of the inviscid multi-layer quasi-geostrophic equations

Qingshan Chen

arxiv:1806.06113 v1 · 2018-06-15 · 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{MGQOZX2XZTLBB2VSRKTEYNMSS3}

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	2026-05-17T23:50:02.610274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a0ecdf57ccd610eab28aa64c359296e8f8f551931822312146e44ef59f1d5d

Aliases

arxiv: 1806.06113 · arxiv_version: 1806.06113v1 · doi: 10.48550/arxiv.1806.06113 · pith_short_12: MGQOZX2XZTLB · pith_short_16: MGQOZX2XZTLBB2VS · pith_short_8: MGQOZX2X

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/MGQOZX2XZTLBB2VSRKTEYNMSS3 \
  | 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: 61a0ecdf57ccd610eab28aa64c359296e8f8f551931822312146e44ef59f1d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a9df4bc50ae431c8ea740790b71e217fb7acf25ab3cff432c0db8838e66147a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-15T20:08:59Z",
    "title_canon_sha256": "e7cc85b7a901caa0c0f88846dac1928fea2bec9bf7b1481539116dd641e37c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06113",
    "kind": "arxiv",
    "version": 1
  }
}