Pith Number

pith:AXQK3ZYA

pith:2018:AXQK3ZYA4GKDMXUTMTTNZTD6XK

not attested not anchored not stored refs pending

On Vorticity Gradient Growth for the Axisymmetric 3D Euler Equations Without Swirl

Tam Do

arxiv:1801.07382 v2 · 2018-01-23 · 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{AXQK3ZYA4GKDMXUTMTTNZTD6XK}

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	2026-05-17T23:45:41.172516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e0ade700e194365e9364e6dccc7eba8fd3d5ebddbb0703d92f63d48b126b51

Aliases

arxiv: 1801.07382 · arxiv_version: 1801.07382v2 · doi: 10.48550/arxiv.1801.07382 · pith_short_12: AXQK3ZYA4GKD · pith_short_16: AXQK3ZYA4GKDMXUT · pith_short_8: AXQK3ZYA

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/AXQK3ZYA4GKDMXUTMTTNZTD6XK \
  | 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: 05e0ade700e194365e9364e6dccc7eba8fd3d5ebddbb0703d92f63d48b126b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20fd72cedb58a78533024b6da88bdb01ce212972b2b540041e4a58dff94f40de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-23T03:05:26Z",
    "title_canon_sha256": "081d3d563e12e2013cef40cba6c4c2e8da384f57457ef443b34663a57d101690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07382",
    "kind": "arxiv",
    "version": 2
  }
}