pith. sign in
Pith Number

pith:PGN6GH7G

pith:2013:PGN6GH7GHENQLASYJ2W2RKSVKG
not attested not anchored not stored refs pending

Random reverse-cyclic matrices and screened harmonic oscillator

Shashi C. L. Srivastava, Sudhir R. Jain

arxiv:1302.2696 v1 · 2013-02-12 · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PGN6GH7GHENQLASYJ2W2RKSVKG}

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 2026-05-18T03:33:51.166616Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

799be31fe6391b0582584eada8aa555180904521e3bbb823b59cf980f641d27d

Aliases

arxiv: 1302.2696 · arxiv_version: 1302.2696v1 · doi: 10.48550/arxiv.1302.2696 · pith_short_12: PGN6GH7GHENQ · pith_short_16: PGN6GH7GHENQLASY · pith_short_8: PGN6GH7G
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PGN6GH7GHENQLASYJ2W2RKSVKG \
  | 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: 799be31fe6391b0582584eada8aa555180904521e3bbb823b59cf980f641d27d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3bcd8517e462fd684cf7be1672a0ba5415d2ad603bf3030d94387b0f653a5c97",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-12T04:04:26Z",
    "title_canon_sha256": "e22f3ef5c517b18415d3b05aa1f8472f8a5cf8312c495009ce103bb565fe583a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2696",
    "kind": "arxiv",
    "version": 1
  }
}