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Pith Number

pith:C2V4NYAP

pith:2006:C2V4NYAPM7VPHU3B7RHTD6OZMK
not attested not anchored not stored refs pending

Instability of vortex solitons for 2D focusing NLS

Tetsu Mizumachi

arxiv:math/0605032 v1 · 2006-05-01 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{C2V4NYAPM7VPHU3B7RHTD6OZMK}

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 2026-05-18T04:42:35.485920Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

16abc6e00f67eaf3d361fc4f31f9d962991135d61373aeb2ef5155f24b44cb36

Aliases

arxiv: math/0605032 · arxiv_version: math/0605032v1 · doi: 10.48550/arxiv.math/0605032 · pith_short_12: C2V4NYAPM7VP · pith_short_16: C2V4NYAPM7VPHU3B · pith_short_8: C2V4NYAP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/C2V4NYAPM7VPHU3B7RHTD6OZMK \
  | 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: 16abc6e00f67eaf3d361fc4f31f9d962991135d61373aeb2ef5155f24b44cb36
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "667204696f5d3769a5a5ef54c42bafa00158a92ca869bf52ad73876f8eaffbbb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-05-01T06:19:45Z",
    "title_canon_sha256": "2db45600121189274270f69f62b01f6fa5e19df3594df2aa24f265ec02dfb8fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605032",
    "kind": "arxiv",
    "version": 1
  }
}