Pith Number

pith:AOBZTV4D

pith:2014:AOBZTV4D73AZQSFA7HOVC3KIEO

not attested not anchored not stored refs pending

Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow

Xiaoqian Xu

arxiv:1411.1355 v2 · 2014-11-05 · 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{AOBZTV4D73AZQSFA7HOVC3KIEO}

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	2026-05-18T01:16:29.890889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

038399d783fec19848a0f9dd516d482386bcf6997eb5a119b08db29a2b287c26

Aliases

arxiv: 1411.1355 · arxiv_version: 1411.1355v2 · doi: 10.48550/arxiv.1411.1355 · pith_short_12: AOBZTV4D73AZ · pith_short_16: AOBZTV4D73AZQSFA · pith_short_8: AOBZTV4D

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/AOBZTV4D73AZQSFA7HOVC3KIEO \
  | 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: 038399d783fec19848a0f9dd516d482386bcf6997eb5a119b08db29a2b287c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e55a6dd65247e67b37e611e44fab09585021bc61ef94ae5c8fd6cf2e3f2c8b97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-05T18:56:41Z",
    "title_canon_sha256": "2fc00fbdaa2cbba2ced6d8e3dd00cf3c080bd49e23cb39af2ff5b49a00c62943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1355",
    "kind": "arxiv",
    "version": 2
  }
}