Pith Number

pith:VZADMLT3

pith:2019:VZADMLT3VB56I367PWKMJLDZU7

not attested not anchored not stored refs pending

Global large, smooth solutions of the 2D surface quasi-geostrophic equations

Huali Zhang, Jinlu Li

arxiv:1911.08210 v3 · 2019-11-19 · 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{VZADMLT3VB56I367PWKMJLDZU7}

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	2026-07-05T02:57:05.771392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae40362e7ba87be46fdf7d94c4ac79a7cd2e1f0e8f2591ddefeaf8166ddecbd7

Aliases

arxiv: 1911.08210 · arxiv_version: 1911.08210v3 · doi: 10.48550/arxiv.1911.08210 · pith_short_12: VZADMLT3VB56 · pith_short_16: VZADMLT3VB56I367 · pith_short_8: VZADMLT3

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/VZADMLT3VB56I367PWKMJLDZU7 \
  | 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: ae40362e7ba87be46fdf7d94c4ac79a7cd2e1f0e8f2591ddefeaf8166ddecbd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed7f34c187410d8496bba8f3a695f0880f6654e7e2e366a0f67e28893fb4e1d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-11-19T11:11:10Z",
    "title_canon_sha256": "355bbaf0f4bed28c48f0cb950054f2bfc427eb9134409f8884c231d66b892122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.08210",
    "kind": "arxiv",
    "version": 3
  }
}