Pith Number

pith:JBPLVEQA

pith:2013:JBPLVEQACGGZLNUMWZRIPTB4YV

not attested not anchored not stored refs pending

Improved Berezin-Li-Yau inequalities with magnetic field

Hynek Kovarik, Timo Weidl

arxiv:1307.7091 v1 · 2013-07-26 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBPLVEQACGGZLNUMWZRIPTB4YV}

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	2026-05-18T01:17:05.795744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

485eba9200118d95b68cb66287cc3cc5573e7f26d4bbf8d130444392d05438b1

Aliases

arxiv: 1307.7091 · arxiv_version: 1307.7091v1 · doi: 10.48550/arxiv.1307.7091 · pith_short_12: JBPLVEQACGGZ · pith_short_16: JBPLVEQACGGZLNUM · pith_short_8: JBPLVEQA

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/JBPLVEQACGGZLNUMWZRIPTB4YV \
  | 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: 485eba9200118d95b68cb66287cc3cc5573e7f26d4bbf8d130444392d05438b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825ca2d19c7a9380c4866cfed58c83815008e2b6f636938c36d95c4be997f49a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-07-26T16:48:57Z",
    "title_canon_sha256": "e2c3c2a6a7b9ffab838429e4f0527a53d496f09571a64c7cdc9cc0771bbab22e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7091",
    "kind": "arxiv",
    "version": 1
  }
}