Pith Number

pith:WFHR4GX3

pith:2016:WFHR4GX3LFFKBWXNHN6R2RMTIF

not attested not anchored not stored refs pending

Lieb-Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices

Jacob S. Christiansen, Maxim Zinchenko

arxiv:1609.09566 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{WFHR4GX3LFFKBWXNHN6R2RMTIF}

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	2026-05-18T00:34:35.303636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14f1e1afb594aa0daed3b7d1d4593417a95f2a5c01bb7c5743cb8441e544e0b

Aliases

arxiv: 1609.09566 · arxiv_version: 1609.09566v2 · doi: 10.48550/arxiv.1609.09566 · pith_short_12: WFHR4GX3LFFK · pith_short_16: WFHR4GX3LFFKBWXN · pith_short_8: WFHR4GX3

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/WFHR4GX3LFFKBWXNHN6R2RMTIF \
  | 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: b14f1e1afb594aa0daed3b7d1d4593417a95f2a5c01bb7c5743cb8441e544e0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6340a36bdb54c0d4d49f1daf79a9bacc8680e81a5dd201dfe974fc6b2bfeeb6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-09-30T01:41:36Z",
    "title_canon_sha256": "1cf96533cd961abc5c9b13b7fff32551e26103159a461c38c9953fcda0f4c89a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09566",
    "kind": "arxiv",
    "version": 2
  }
}