pith. sign in
Pith Number

pith:BNBHK47B

pith:2013:BNBHK47BL4OL4QY2AKGISHB6ZW
not attested not anchored not stored refs pending

Eigenvalues of a one-dimensional Dirac operator pencil

Daniel M. Elton, Iosif Polterovich, Michael Levitin

arxiv:1303.2185 v2 · 2013-03-09 · math.SP · cond-mat.mes-hall · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BNBHK47BL4OL4QY2AKGISHB6ZW}

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 2026-05-18T02:52:12.724073Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0b427573e15f1cbe431a028c891c3ecd872f168813aa669160b71c1dd5cf6ca2

Aliases

arxiv: 1303.2185 · arxiv_version: 1303.2185v2 · doi: 10.48550/arxiv.1303.2185 · pith_short_12: BNBHK47BL4OL · pith_short_16: BNBHK47BL4OL4QY2 · pith_short_8: BNBHK47B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BNBHK47BL4OL4QY2AKGISHB6ZW \
  | 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: 0b427573e15f1cbe431a028c891c3ecd872f168813aa669160b71c1dd5cf6ca2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9442f9da32d058d5a5e85335d64e26ff56a6162d6f406cd5fb2dd2bb82c0aa58",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-03-09T09:19:25Z",
    "title_canon_sha256": "ea41729b229a75dcfbf91c4627e6445e83d1f059ce9a65d8a1a62abaf4e4586b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2185",
    "kind": "arxiv",
    "version": 2
  }
}