Pith Number

pith:MRLG5QQU

pith:2025:MRLG5QQURU6DP36ODGDBIQ2KGI

not attested not anchored not stored refs pending

Asymmetric Self-similar Spiral Solutions of 2-D Incomressible Euler Equations

Hyungjun Choi

arxiv:2507.05059 v3 · 2025-07-07 · 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{MRLG5QQURU6DP36ODGDBIQ2KGI}

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	2026-07-05T11:42:55.078773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64566ec2148d3c37efce198614434a3231ed5c5a86004b14499499ed02fb3cad

Aliases

arxiv: 2507.05059 · arxiv_version: 2507.05059v3 · doi: 10.48550/arxiv.2507.05059 · pith_short_12: MRLG5QQURU6D · pith_short_16: MRLG5QQURU6DP36O · pith_short_8: MRLG5QQU

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/MRLG5QQURU6DP36ODGDBIQ2KGI \
  | 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: 64566ec2148d3c37efce198614434a3231ed5c5a86004b14499499ed02fb3cad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b6a4ebffbd2a4ef2c000c05d4dda080cf8c808be6f32b59ee16e94fde078f9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-07T14:45:28Z",
    "title_canon_sha256": "ed70e2a3f45e7441cd2b5bad0e8b2cdf149a0a082d138719ca00054734822e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05059",
    "kind": "arxiv",
    "version": 3
  }
}