Pith Number

pith:JJWX5NTY

pith:2012:JJWX5NTY4O7W37QZ5EBZVOJPFJ

not attested not anchored not stored refs pending

Existence of knotted vortex tubes in steady Euler flows

Alberto Enciso, Daniel Peralta-Salas

arxiv:1210.6271 v2 · 2012-10-23 · math.AP · math-ph · math.DS · 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{JJWX5NTY4O7W37QZ5EBZVOJPFJ}

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	2026-05-18T02:39:32.347013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6d7eb678e3bf6dfe19e9039ab92f2a7086be794e2dba4d784518efa20cea74

Aliases

arxiv: 1210.6271 · arxiv_version: 1210.6271v2 · doi: 10.48550/arxiv.1210.6271 · pith_short_12: JJWX5NTY4O7W · pith_short_16: JJWX5NTY4O7W37QZ · pith_short_8: JJWX5NTY

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/JJWX5NTY4O7W37QZ5EBZVOJPFJ \
  | 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: 4a6d7eb678e3bf6dfe19e9039ab92f2a7086be794e2dba4d784518efa20cea74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf4d22a9e337b2218cc9d625213882bd633f5c472e0a3c24fc6ad4f2c71e41c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-23T15:37:18Z",
    "title_canon_sha256": "f0430b7296bf1755ccd7ffd9c5cfa3677bad8ea6849693341add74444a238cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6271",
    "kind": "arxiv",
    "version": 2
  }
}