Pith Number

pith:KPE745IX

pith:2021:KPE745IXC26JMNPEPNDIPKNPBN

not attested not anchored not stored refs pending

On the rough solutions of 3D compressible Euler equations: an alternative proof

Huali Zhang, Lars Andersson

arxiv:2104.12299 v2 · 2021-04-26 · 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{KPE745IXC26JMNPEPNDIPKNPBN}

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	2026-07-05T03:05:49.757366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c9fe751716bc9635e47b4687a9af0b493ca3ae7d903c80fda7db18c9c4b8e4

Aliases

arxiv: 2104.12299 · arxiv_version: 2104.12299v2 · doi: 10.48550/arxiv.2104.12299 · pith_short_12: KPE745IXC26J · pith_short_16: KPE745IXC26JMNPE · pith_short_8: KPE745IX

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/KPE745IXC26JMNPEPNDIPKNPBN \
  | 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: 53c9fe751716bc9635e47b4687a9af0b493ca3ae7d903c80fda7db18c9c4b8e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "942b7fff248e60e8c5874cffc08bbf72fb09b34d898add737c9c7096d877d4e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-26T01:07:29Z",
    "title_canon_sha256": "538b9fcbfc3d0682e835bfafcf4cc02cae94056dd8585af6b66651901496c1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12299",
    "kind": "arxiv",
    "version": 2
  }
}