Pith Number

pith:MZCWCWDP

pith:1997:MZCWCWDPNBSEH3UXCGOMI6PAE5

not attested not anchored not stored refs pending

The dynamics of vortex lines in the three-dimensional complex Ginzburg-Landau equation: instability, stretching, entanglement, and helices

A. R. Bishop, I. S. Aranson, L. Kramer

arxiv:patt-sol/9712004 v1 · 1997-12-09 · 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{MZCWCWDPNBSEH3UXCGOMI6PAE5}

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	2026-05-18T01:05:17.434837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664561586f686443ee97119cc479e0276901d0e0e813d62c79924ef811566c92

Aliases

arxiv: patt-sol/9712004 · arxiv_version: patt-sol/9712004v1 · doi: 10.48550/arxiv.patt-sol/9712004 · pith_short_12: MZCWCWDPNBSE · pith_short_16: MZCWCWDPNBSEH3UX · pith_short_8: MZCWCWDP

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/MZCWCWDPNBSEH3UXCGOMI6PAE5 \
  | 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: 664561586f686443ee97119cc479e0276901d0e0e813d62c79924ef811566c92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c7a81265e4a87a69605787d8c781339f4dd9f2270ec7a30e4213cc4074d367b",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "",
    "primary_cat": "patt-sol",
    "submitted_at": "1997-12-09T15:48:58Z",
    "title_canon_sha256": "694764163cae6d5fe4a8d68f0380e0c1542a2c799ed0cd18b2d8c5503ab8239e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "patt-sol/9712004",
    "kind": "arxiv",
    "version": 1
  }
}