Pith Number

pith:GSUSEG6Y

pith:2025:GSUSEG6YJZXRWMHF45AUDEAO26

not attested not anchored not stored refs pending

A Lee-Huang-Yang type expansion for the thermodynamic energy density of a dilute mixture of Bose gases

Marco Olivieri

arxiv:2505.15976 v2 · 2025-05-21 · math-ph · math.AP · 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{GSUSEG6YJZXRWMHF45AUDEAO26}

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	2026-07-05T11:31:27.967654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34a9221bd84e6f1b30e5e74141900ed789e8a0b61d2e93a46ae7d4ee09a4964a

Aliases

arxiv: 2505.15976 · arxiv_version: 2505.15976v2 · doi: 10.48550/arxiv.2505.15976 · pith_short_12: GSUSEG6YJZXR · pith_short_16: GSUSEG6YJZXRWMHF · pith_short_8: GSUSEG6Y

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/GSUSEG6YJZXRWMHF45AUDEAO26 \
  | 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: 34a9221bd84e6f1b30e5e74141900ed789e8a0b61d2e93a46ae7d4ee09a4964a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55467096b3dd818f7aba1b40f1ef38707754d46c6d4961771c7149ee7a6ef21",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-05-21T19:52:16Z",
    "title_canon_sha256": "81044c915e5bbbf8efbefd37ed78b2b210e34f32615cb4f148af2d92239580f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15976",
    "kind": "arxiv",
    "version": 2
  }
}