Pith Number

pith:BNO6MJHV

pith:2011:BNO6MJHVOWJQUESOTHMGOHP23M

not attested not anchored not stored refs pending

A positive density analogue of the Lieb-Thirring inequality

Elliott H. Lieb, Mathieu Lewin, Robert Seiringer, Rupert L. Frank

arxiv:1108.4246 v2 · 2011-08-22 · math-ph · cond-mat.quant-gas · 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{BNO6MJHVOWJQUESOTHMGOHP23M}

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	2026-07-05T00:26:54.075384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b5de624f575930a124e99d8671dfadb1c2f452d4d2f4c9be7ea2e0dae939f88

Aliases

arxiv: 1108.4246 · arxiv_version: 1108.4246v2 · doi: 10.48550/arxiv.1108.4246 · pith_short_12: BNO6MJHVOWJQ · pith_short_16: BNO6MJHVOWJQUESO · pith_short_8: BNO6MJHV

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/BNO6MJHVOWJQUESOTHMGOHP23M \
  | 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: 0b5de624f575930a124e99d8671dfadb1c2f452d4d2f4c9be7ea2e0dae939f88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4adcdc1ff75bb6ccfaf6b27c647b69ce5edcee1ae983bd566fcb9797f190831",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-22T07:51:38Z",
    "title_canon_sha256": "08a02c1d1531f99addf8e73b3b91cca5888d29f8830a3f3e4b79fd8b589a5000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4246",
    "kind": "arxiv",
    "version": 2
  }
}