Pith Number

pith:UMXL4DRC

pith:1997:UMXL4DRCUQLDQMKNQMISMV333B

not attested not anchored not stored refs pending

Stretching of vortex lines and generation of vorticity in the three-dimensional complex Ginzburg-Landau Equation

Alan Bishop, Igor Aranson

arxiv:patt-sol/9705009 v1 · 1997-05-19 · patt-sol · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMXL4DRCUQLDQMKNQMISMV333B}

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	2026-05-18T01:05:17.464278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a32ebe0e22a41638314d831126577bd841fe8d370df7e771a7e309f88bd0778c

Aliases

arxiv: patt-sol/9705009 · arxiv_version: patt-sol/9705009v1 · doi: 10.48550/arxiv.patt-sol/9705009 · pith_short_12: UMXL4DRCUQLD · pith_short_16: UMXL4DRCUQLDQMKN · pith_short_8: UMXL4DRC

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/UMXL4DRCUQLDQMKNQMISMV333B \
  | 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: a32ebe0e22a41638314d831126577bd841fe8d370df7e771a7e309f88bd0778c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34111e79914b8359669c08c3bdcc88efa027d5edd1a9bc985fc3809a1721958c",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "",
    "primary_cat": "patt-sol",
    "submitted_at": "1997-05-19T17:22:44Z",
    "title_canon_sha256": "4ce52e81f888953477a6dae3d68fc1dc017ba0288697e5eba2510713988bbc9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "patt-sol/9705009",
    "kind": "arxiv",
    "version": 1
  }
}