Pith Number

pith:XGWIGK2S

pith:2012:XGWIGK2SU4IIM234HVPGUNHYSI

not attested not anchored not stored refs pending

Double exponential growth of the vorticity gradient for the two-dimensional Euler equation

Sergey A. Denisov

arxiv:1201.1771 v2 · 2012-01-09 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGWIGK2SU4IIM234HVPGUNHYSI}

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	2026-05-18T03:56:24.077406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ac832b52a710866b7c3d5e6a34f892105204b6a1a59707ea3e951c156b7433

Aliases

arxiv: 1201.1771 · arxiv_version: 1201.1771v2 · doi: 10.48550/arxiv.1201.1771 · pith_short_12: XGWIGK2SU4II · pith_short_16: XGWIGK2SU4IIM234 · pith_short_8: XGWIGK2S

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/XGWIGK2SU4IIM234HVPGUNHYSI \
  | 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: b9ac832b52a710866b7c3d5e6a34f892105204b6a1a59707ea3e951c156b7433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b69c1540414f2c12d118509785df1f15319209afe43f08e8ecedc55375b9536f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-09T14:15:42Z",
    "title_canon_sha256": "0ae780a864ea8c7cd5f2f948420b1ad683db288921103a98e0e3aacc5bc8a2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1771",
    "kind": "arxiv",
    "version": 2
  }
}