Pith Number

pith:QCJQFOQW

pith:2011:QCJQFOQWAY65NKSAWTSCUWCJ2O

not attested not anchored not stored refs pending

Lieb-Thirring inequalities on some manifolds

Alexei A. Ilyin

arxiv:1104.2488 v1 · 2011-04-13 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCJQFOQWAY65NKSAWTSCUWCJ2O}

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	2026-05-18T04:24:34.745360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

809302ba16063dd6aa40b4e42a5849d39ffaea110431f7ca1b044639115a5242

Aliases

arxiv: 1104.2488 · arxiv_version: 1104.2488v1 · doi: 10.48550/arxiv.1104.2488 · pith_short_12: QCJQFOQWAY65 · pith_short_16: QCJQFOQWAY65NKSA · pith_short_8: QCJQFOQW

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/QCJQFOQWAY65NKSAWTSCUWCJ2O \
  | 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: 809302ba16063dd6aa40b4e42a5849d39ffaea110431f7ca1b044639115a5242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07098e48455db076c1c6133dbd8645f17e11d251b5a2001024a53cdce4108425",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-04-13T13:41:27Z",
    "title_canon_sha256": "12303ea2e546f90b806f134fd05946f7f992eabeff904aada2eb6e9967a2a66e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2488",
    "kind": "arxiv",
    "version": 1
  }
}