pith. sign in
Pith Number

pith:Q42IQGMT

pith:2006:Q42IQGMTGYCRLQ3XAPEFEUHY6O
not attested not anchored not stored refs pending

PT-Symmetric Extension of the Korteweg-de Vries Equation

Carl M. Bender, Dorje C. Brody, Elisabetta Furlan, Junhua Chen

arxiv:math-ph/0610003 v1 · 2006-10-02 · math-ph · hep-th · math.DS · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Q42IQGMTGYCRLQ3XAPEFEUHY6O}

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 2026-05-18T04:17:54.496958Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8734881993360515c37703c85250f8f3bbc34ec006ed4fb7994d045e870b3375

Aliases

arxiv: math-ph/0610003 · arxiv_version: math-ph/0610003v1 · doi: 10.48550/arxiv.math-ph/0610003 · pith_short_12: Q42IQGMTGYCR · pith_short_16: Q42IQGMTGYCRLQ3X · pith_short_8: Q42IQGMT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q42IQGMTGYCRLQ3XAPEFEUHY6O \
  | 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: 8734881993360515c37703c85250f8f3bbc34ec006ed4fb7994d045e870b3375
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c7c09ad99b71ff1e8cb664c2b5c0e35f98b64075b675fb8c4447c922f242d85d",
    "cross_cats_sorted": [
      "hep-th",
      "math.DS",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-10-02T09:01:52Z",
    "title_canon_sha256": "7bf01b969d938cfcd8f6849d9d5004e174e4255f855d9fe1257367f3f24e9871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0610003",
    "kind": "arxiv",
    "version": 1
  }
}