Pith Number

pith:QCN3VBZF

pith:2024:QCN3VBZF4Z4NJXNGORGZ4YDE5D

not attested not anchored not stored refs pending

Prandtl-Batchelor flows with a point vortex on a disk

Jianfeng Zhao, Mingwen Fei, Zhi Chen, Zhiwu Lin

arxiv:2410.07759 v1 · 2024-10-10 · 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{QCN3VBZF4Z4NJXNGORGZ4YDE5D}

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	2026-07-05T09:18:43.243217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

809bba8725e678d4dda6744d9e6064e8de0f3c64055982171b8967e16f14ffc9

Aliases

arxiv: 2410.07759 · arxiv_version: 2410.07759v1 · doi: 10.48550/arxiv.2410.07759 · pith_short_12: QCN3VBZF4Z4N · pith_short_16: QCN3VBZF4Z4NJXNG · pith_short_8: QCN3VBZF

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/QCN3VBZF4Z4NJXNGORGZ4YDE5D \
  | 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: 809bba8725e678d4dda6744d9e6064e8de0f3c64055982171b8967e16f14ffc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a173cf05f2db7f0d2aaa2ec50a84b4b1e7758f0451aeb3c79f924fa2803e38db",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-10T09:38:19Z",
    "title_canon_sha256": "b26e20b8d125cc32310f38924a09684b17fdd0d1df4dd831f2bd915eccc56eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.07759",
    "kind": "arxiv",
    "version": 1
  }
}