Pith Number

pith:WWOKTYMM

pith:2024:WWOKTYMMGHBTLYBCPFC4HCNZDA

not attested not anchored not stored refs pending

Radial symmetry of stationary and uniformly-rotating solutions to the 2D Euler equation in a disc

Boquan Fan, Weicheng Zhan, Yuchen Wang

arxiv:2412.05973 v2 · 2024-12-08 · 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{WWOKTYMMGHBTLYBCPFC4HCNZDA}

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

On stationary Quasi-Geostrophic Shallow-Water flows

Receipt and verification

First computed	2026-07-05T09:48:38.068462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59ca9e18c31c335e0227945c389b9182748bf37bfa3e24eda3e4738473c8523

Aliases

arxiv: 2412.05973 · arxiv_version: 2412.05973v2 · doi: 10.48550/arxiv.2412.05973 · pith_short_12: WWOKTYMMGHBT · pith_short_16: WWOKTYMMGHBTLYBC · pith_short_8: WWOKTYMM

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/WWOKTYMMGHBTLYBCPFC4HCNZDA \
  | 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: b59ca9e18c31c335e0227945c389b9182748bf37bfa3e24eda3e4738473c8523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ba51c97f9b9fa1af8f623e413a258052b52ecc3c12ffc6d563350df7d5ac60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-08T15:44:07Z",
    "title_canon_sha256": "ec60970ab09682ee3df09abbace2f7fff161ab7d6bbebcc879df0fb8fdca3ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05973",
    "kind": "arxiv",
    "version": 2
  }
}