Pith Number

pith:RUEZ5M2N

pith:2016:RUEZ5M2N6CVNUB5R5NXHMTODRZ

not attested not anchored not stored refs pending

Lieb-Thirring Inequalities for Complex Finite Gap Jacobi Matrices

Jacob S. Christiansen, Maxim Zinchenko

arxiv:1609.09812 v2 · 2016-09-30 · math.SP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUEZ5M2N6CVNUB5R5NXHMTODRZ}

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	2026-05-18T00:34:35.298434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d099eb34df0aada07b1eb6e764dc38e4fc173ee09e7d229cd85ba921693149a

Aliases

arxiv: 1609.09812 · arxiv_version: 1609.09812v2 · doi: 10.48550/arxiv.1609.09812 · pith_short_12: RUEZ5M2N6CVN · pith_short_16: RUEZ5M2N6CVNUB5R · pith_short_8: RUEZ5M2N

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RUEZ5M2N6CVNUB5R5NXHMTODRZ \
  | 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: 8d099eb34df0aada07b1eb6e764dc38e4fc173ee09e7d229cd85ba921693149a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c4573f17d14db27cca210b2db2e5a71a8e1d90fd98b0fcfd01b04e83a15c37",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-09-30T17:04:24Z",
    "title_canon_sha256": "04a6390cf7580caa39ec1b15780257c7d83edc79d284ebe47baae90961987554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09812",
    "kind": "arxiv",
    "version": 2
  }
}