Pith Number

pith:765TW7NE

pith:2013:765TW7NEZUHGTL5BNGYCSHQN7W

not attested not anchored not stored refs pending

Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics

Douglas Lundholm, Jan Philip Solovej

arxiv:1301.3436 v2 · 2013-01-15 · 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{765TW7NEZUHGTL5BNGYCSHQN7W}

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	2026-05-18T02:40:18.857906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffbb3b7da4cd0e69afa169b0291e0dfd8a9953b25706f9ab7c1cf791fadbde1b

Aliases

arxiv: 1301.3436 · arxiv_version: 1301.3436v2 · doi: 10.48550/arxiv.1301.3436 · pith_short_12: 765TW7NEZUHG · pith_short_16: 765TW7NEZUHGTL5B · pith_short_8: 765TW7NE

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/765TW7NEZUHGTL5BNGYCSHQN7W \
  | 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: ffbb3b7da4cd0e69afa169b0291e0dfd8a9953b25706f9ab7c1cf791fadbde1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c31ee62571056416d0e2bc2657938df73eb6f7d2c813072425ad8c6d20812034",
    "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": "2013-01-15T18:13:33Z",
    "title_canon_sha256": "699cf5204bac29b7446b307053d03d22c976d4d092b0d973ce0fcc4411c05371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3436",
    "kind": "arxiv",
    "version": 2
  }
}