Pith Number

pith:HJ6NFJU2

pith:2019:HJ6NFJU2CNKGTA2577GVJRCYV2

not attested not anchored not stored refs pending

Blowup solutions of Grushin's operator

Guangying Lv, Jinlong Wei, Longjie Xie

arxiv:1902.07390 v1 · 2019-02-20 · 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{HJ6NFJU2CNKGTA2577GVJRCYV2}

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	2026-05-17T23:53:08.082419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7cd2a69a135469835dffcd54c458ae85a088c71c7db35d04cbc3bb126bd436

Aliases

arxiv: 1902.07390 · arxiv_version: 1902.07390v1 · doi: 10.48550/arxiv.1902.07390 · pith_short_12: HJ6NFJU2CNKG · pith_short_16: HJ6NFJU2CNKGTA25 · pith_short_8: HJ6NFJU2

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/HJ6NFJU2CNKGTA2577GVJRCYV2 \
  | 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: 3a7cd2a69a135469835dffcd54c458ae85a088c71c7db35d04cbc3bb126bd436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fed07ce8a82489da09c9301bda22da4ad08be72d75ac74edcd85bd0fa829c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-20T03:44:36Z",
    "title_canon_sha256": "dc4b6b40e73842fb126c301f55015abc62b4af4d26fb92604ecea3ea01d809f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07390",
    "kind": "arxiv",
    "version": 1
  }
}