Pith Number

pith:Z4VGZP4T

pith:2017:Z4VGZP4TKQ5HKENGJZP32Y3MN2

not attested not anchored not stored refs pending

Lieb-Thirring inequality with semiclassical constant and gradient error term

Phan Th\`anh Nam

arxiv:1704.07188 v2 · 2017-04-24 · 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{Z4VGZP4TKQ5HKENGJZP32Y3MN2}

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	2026-05-18T00:15:37.718048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2a6cbf93543a7511a64e5fbd636c6e876db0cfa8dadae30d2229e6ef34f550

Aliases

arxiv: 1704.07188 · arxiv_version: 1704.07188v2 · doi: 10.48550/arxiv.1704.07188 · pith_short_12: Z4VGZP4TKQ5H · pith_short_16: Z4VGZP4TKQ5HKENG · pith_short_8: Z4VGZP4T

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/Z4VGZP4TKQ5HKENGJZP32Y3MN2 \
  | 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: cf2a6cbf93543a7511a64e5fbd636c6e876db0cfa8dadae30d2229e6ef34f550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d682161bec851be40f4875b8e82eae867daa5ff0728576fb8e859fb8e3e6df",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-04-24T12:52:57Z",
    "title_canon_sha256": "e09229826d04e949f6d0b333cc72bbc92f46c89a666150ebf17e7579e1f3fac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07188",
    "kind": "arxiv",
    "version": 2
  }
}