Pith Number

pith:P6FIAVBD

pith:2025:P6FIAVBDP6E53TVSZ3AHCTIMRR

not attested not anchored not stored refs pending

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations

Daomin Cao, Guolin Qin, Jie Wan, Junhong Fan

arxiv:2505.12240 v4 · 2025-05-18 · 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{P6FIAVBDP6E53TVSZ3AHCTIMRR}

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

Stability of oppositely-propagating pair of Hill's spherical vortices

Receipt and verification

First computed	2026-07-05T11:35:13.830497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f8a8054237f89ddceb2cec0714d0c8c46e10bd1e0458a90b02dca97ae713509

Aliases

arxiv: 2505.12240 · arxiv_version: 2505.12240v4 · doi: 10.48550/arxiv.2505.12240 · pith_short_12: P6FIAVBDP6E5 · pith_short_16: P6FIAVBDP6E53TVS · pith_short_8: P6FIAVBD

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/P6FIAVBDP6E53TVSZ3AHCTIMRR \
  | 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: 7f8a8054237f89ddceb2cec0714d0c8c46e10bd1e0458a90b02dca97ae713509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c77d544e55e0134a4c1fb26cddd470d48b043a3d872b4dffbaa22e517d51551d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-18T05:33:36Z",
    "title_canon_sha256": "b3034fcc867609c0052169631455d7f126f9db07a273ca615d1f1ab95127babf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.12240",
    "kind": "arxiv",
    "version": 4
  }
}