Pith Number

pith:NPLHCNQG

pith:2026:NPLHCNQGXVA4OIEJQMXQ22LYAX

not attested not anchored not stored refs pending

The Huang--Yang formula for a two-dimensional Fermi gas: upper bound

Christian Hainzl, Fabian Saxler, Robert Seiringer

arxiv:2606.03356 v1 · 2026-06-02 · 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{NPLHCNQGXVA4OIEJQMXQ22LYAX}

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	2026-06-03T01:05:55.839795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd6713606bd41c72089832f0d697805d0909abcf6a4501ba7fc208ee1b1d756

Aliases

arxiv: 2606.03356 · arxiv_version: 2606.03356v1 · doi: 10.48550/arxiv.2606.03356 · pith_short_12: NPLHCNQGXVA4 · pith_short_16: NPLHCNQGXVA4OIEJ · pith_short_8: NPLHCNQG

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/NPLHCNQGXVA4OIEJQMXQ22LYAX \
  | 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: 6bd6713606bd41c72089832f0d697805d0909abcf6a4501ba7fc208ee1b1d756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0313ca8ce17515b28961d6a0533bcce190abb012f032b5a95489249d54de90f9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-02T09:05:24Z",
    "title_canon_sha256": "e8b5c0c9f6433289bcbdd8132e80c1f87706e0e11f726c89efd23fc63210da41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03356",
    "kind": "arxiv",
    "version": 1
  }
}