Pith Number

pith:B7C3KCL5

pith:2020:B7C3KCL5VPEULMGQTXDJFDGXCE

not attested not anchored not stored refs pending

The periodic Lieb-Thirring inequality

David Gontier, Mathieu Lewin, Rupert L. Frank

arxiv:2010.02981 v2 · 2020-10-06 · 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{B7C3KCL5VPEULMGQTXDJFDGXCE}

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	2026-07-05T01:53:39.442362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc5b5097dabc945b0d09dc6928cd7110184a1431e9efc64f5a5f8b9231a8e19

Aliases

arxiv: 2010.02981 · arxiv_version: 2010.02981v2 · doi: 10.48550/arxiv.2010.02981 · pith_short_12: B7C3KCL5VPEU · pith_short_16: B7C3KCL5VPEULMGQ · pith_short_8: B7C3KCL5

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/B7C3KCL5VPEULMGQTXDJFDGXCE \
  | 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: 0fc5b5097dabc945b0d09dc6928cd7110184a1431e9efc64f5a5f8b9231a8e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31736626619f71f2eca5086865e87c52b6905fbeff80d33faa51517d49f31706",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-10-06T19:16:36Z",
    "title_canon_sha256": "bcbba33b6f44d5e2357c0d8970c613743bfbf064d22d56fd9d99798915b28d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.02981",
    "kind": "arxiv",
    "version": 2
  }
}