Pith Number

pith:RRCFYUUC

pith:2013:RRCFYUUCH7R4EVLSVSKF5DY44V

not attested not anchored not stored refs pending

Spectral inequalities for Jacobi operators and related sharp Lieb-Thirring inequalities on the continuum

Lukas Schimmer

arxiv:1310.3764 v1 · 2013-10-14 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRCFYUUCH7R4EVLSVSKF5DY44V}

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	2026-05-18T01:47:05.684388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c445c52823fe3c25572ac945e8f1ce573b34d8ae1835f8782d06b9cf18e9033

Aliases

arxiv: 1310.3764 · arxiv_version: 1310.3764v1 · doi: 10.48550/arxiv.1310.3764 · pith_short_12: RRCFYUUCH7R4 · pith_short_16: RRCFYUUCH7R4EVLS · pith_short_8: RRCFYUUC

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/RRCFYUUCH7R4EVLSVSKF5DY44V \
  | 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: 8c445c52823fe3c25572ac945e8f1ce573b34d8ae1835f8782d06b9cf18e9033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f084d47527beb95a6ca1c5601eaec19a099583b379aa5bbefd455e05811a5ab",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-10-14T18:05:32Z",
    "title_canon_sha256": "92faea454708da0a05cc1e120f510a191436b526ebaf45e4da5ddc08496c069e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3764",
    "kind": "arxiv",
    "version": 1
  }
}