pith. sign in
Pith Number

pith:LXHTFPNK

pith:2016:LXHTFPNKEING2CJI2ZHFYRCXFU
not attested not anchored not stored refs pending

Trace Formulas for a Class of non-Fredholm Operators: A Review

Alan Carey, Denis Potapov, Dmitriy Zanin, Fedor Sukochev, Fritz Gesztesy, Galina Levitina, Harald Grosse

arxiv:1610.04954 v1 · 2016-10-17 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LXHTFPNKEING2CJI2ZHFYRCXFU}

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 2026-05-18T00:50:29.046132Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5dcf32bdaa221a6d0928d64e5c44572d0734b6ac6b8c0ba761e00abe3bf1c7cd

Aliases

arxiv: 1610.04954 · arxiv_version: 1610.04954v1 · doi: 10.48550/arxiv.1610.04954 · pith_short_12: LXHTFPNKEING · pith_short_16: LXHTFPNKEING2CJI · pith_short_8: LXHTFPNK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LXHTFPNKEING2CJI2ZHFYRCXFU \
  | 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: 5dcf32bdaa221a6d0928d64e5c44572d0734b6ac6b8c0ba761e00abe3bf1c7cd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "57f9c802dd5b303c0938f03c83ec2a923a975d3db6e0888d04713446670512a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-17T02:38:11Z",
    "title_canon_sha256": "a748582b08fe34c55e77bf7107df408b823410789dc26821d54b263ff6ff5031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04954",
    "kind": "arxiv",
    "version": 1
  }
}