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Pith Number

pith:KMNMXDWO

pith:2002:KMNMXDWOJFCNH55V63MUOMXZOZ
not attested not anchored not stored refs pending

Gauged Q ball in a piecewise parabolic potential

Dao-jun Liu, Guang Chen, Jian-gang Hao, Xin-zhou Li

arxiv:math-ph/0205003 v1 · 2002-05-02 · math-ph · gr-qc · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KMNMXDWOJFCNH55V63MUOMXZOZ}

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 2026-05-18T01:05:31.956123Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

531acb8ece4944d3f7b5f6d94732f9766f9d78a39433d91665935925f1e87230

Aliases

arxiv: math-ph/0205003 · arxiv_version: math-ph/0205003v1 · doi: 10.48550/arxiv.math-ph/0205003 · pith_short_12: KMNMXDWOJFCN · pith_short_16: KMNMXDWOJFCNH55V · pith_short_8: KMNMXDWO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KMNMXDWOJFCNH55V63MUOMXZOZ \
  | 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: 531acb8ece4944d3f7b5f6d94732f9766f9d78a39433d91665935925f1e87230
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6335fab545f1f47d9c1412e674252b593d7d5a7e92ee389f8938f406fe0dc471",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-05-02T04:30:38Z",
    "title_canon_sha256": "fa10f20d611f24a71bda406132c287db3d5fdc470cf10ee12c56b179a2855673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0205003",
    "kind": "arxiv",
    "version": 1
  }
}