Pith Number

pith:YOB3W5PN

pith:2020:YOB3W5PNALIBGBJU7SR7BIHMFR

not attested not anchored not stored refs pending

Low regularity solutions of two-dimensional compressible Euler equations with dynamic vorticity

Huali Zhang

arxiv:2012.01060 v3 · 2020-12-02 · 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{YOB3W5PNALIBGBJU7SR7BIHMFR}

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.

Cited by

1 paper in Pith

Counterexamples to Strichartz estimates and gallery waves for the irrotational compressible Euler equation in a vacuum setting

Receipt and verification

First computed	2026-07-05T11:08:37.246518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c383bb75ed02d0130534fca3f0a0ec2c71b8102e02c414ba2b970424a431bbab

Aliases

arxiv: 2012.01060 · arxiv_version: 2012.01060v3 · doi: 10.48550/arxiv.2012.01060 · pith_short_12: YOB3W5PNALIB · pith_short_16: YOB3W5PNALIBGBJU · pith_short_8: YOB3W5PN

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/YOB3W5PNALIBGBJU7SR7BIHMFR \
  | 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: c383bb75ed02d0130534fca3f0a0ec2c71b8102e02c414ba2b970424a431bbab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fcacd986258f5e766b9916d38092fd2caa595d800d83aa5281ad202dfc5e977",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-02T10:02:43Z",
    "title_canon_sha256": "2b906632010518d32701f4997de2ebae9127aaa37d348b159f0970f8ccad0bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.01060",
    "kind": "arxiv",
    "version": 3
  }
}