Pith Number

pith:BOGPKAL4

pith:2012:BOGPKAL4ZOPZSCUC7ZOFVR66BO

not attested not anchored not stored refs pending

A global existence result for the semigeostrophic equations in three dimensional convex domains

Alessio Figalli, Guido De Philippis, Luigi Ambrosio, Maria Colombo

arxiv:1205.5435 v2 · 2012-05-24 · 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{BOGPKAL4ZOPZSCUC7ZOFVR66BO}

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	2026-05-18T03:43:05.044303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b8cf5017ccb9f990a82fe5c5ac7de0b917a206ebb281a3e167813c21fcef7fc

Aliases

arxiv: 1205.5435 · arxiv_version: 1205.5435v2 · doi: 10.48550/arxiv.1205.5435 · pith_short_12: BOGPKAL4ZOPZ · pith_short_16: BOGPKAL4ZOPZSCUC · pith_short_8: BOGPKAL4

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/BOGPKAL4ZOPZSCUC7ZOFVR66BO \
  | 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: 0b8cf5017ccb9f990a82fe5c5ac7de0b917a206ebb281a3e167813c21fcef7fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f009468579ab8d2b9680392ae1e370c69b3a107afa6652ea13a1259991573adb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-24T13:32:35Z",
    "title_canon_sha256": "936b0ff15152e156cdaab361656d76e40195bc3d46e284f7a581e844e72f4e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5435",
    "kind": "arxiv",
    "version": 2
  }
}