pith. sign in
Pith Number

pith:NG3VRLYU

pith:2014:NG3VRLYUB6TG2O4OYVBDN5XLRF
not attested not anchored not stored refs pending

Level density of a Bose gas: beyond the saddle point approximation

Alexandre Dias Ribeiro

arxiv:1411.3946 v1 · 2014-11-12 · cond-mat.stat-mech · cond-mat.quant-gas

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NG3VRLYUB6TG2O4OYVBDN5XLRF}

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 2026-05-18T02:37:37.315177Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

69b758af140fa66d3b8ec54236f6eb896cdf81a6ba01f81e19e0c568130df5c7

Aliases

arxiv: 1411.3946 · arxiv_version: 1411.3946v1 · doi: 10.48550/arxiv.1411.3946 · pith_short_12: NG3VRLYUB6TG · pith_short_16: NG3VRLYUB6TG2O4O · pith_short_8: NG3VRLYU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NG3VRLYUB6TG2O4OYVBDN5XLRF \
  | 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: 69b758af140fa66d3b8ec54236f6eb896cdf81a6ba01f81e19e0c568130df5c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ddf465e5fa0ac2ba09688fdd3ea284b1cf3cf6619dde3c4cf24eef041426d4e3",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-11-12T15:54:09Z",
    "title_canon_sha256": "2ad98bca7a7d76132b67ea8d37813d250a90b404b009f9f1afeb15c32359dc6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3946",
    "kind": "arxiv",
    "version": 1
  }
}