Pith Number

pith:2FLB4MRS

pith:2016:2FLB4MRSKGXNECDMH3FGHCTC33

not attested not anchored not stored refs pending

Lieb-Thirring and Cwickel-Lieb-Rozenblum inequalities for perturbed graphene with a Coulomb impurity

David M\"uller, Sergey Morozov

arxiv:1603.01485 v2 · 2016-03-04 · math-ph · math.MP · math.SP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FLB4MRSKGXNECDMH3FGHCTC33}

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	2026-05-18T00:59:25.762113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1561e323251aed2086c3eca638a62deea04438134f9c476e2476fc26578082f

Aliases

arxiv: 1603.01485 · arxiv_version: 1603.01485v2 · doi: 10.48550/arxiv.1603.01485 · pith_short_12: 2FLB4MRSKGXN · pith_short_16: 2FLB4MRSKGXNECDM · pith_short_8: 2FLB4MRS

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/2FLB4MRSKGXNECDMH3FGHCTC33 \
  | 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: d1561e323251aed2086c3eca638a62deea04438134f9c476e2476fc26578082f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9ba7f64b189dbe9da0f3a2ecb8e3d090a4e2c6320f13581354c47ae8ebda67",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-04T14:56:36Z",
    "title_canon_sha256": "aeb4d71cc363d89a8402dfe95dda1fdbf94003ae553cb792016dcef244a5c383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01485",
    "kind": "arxiv",
    "version": 2
  }
}