Pith Number

pith:MXFCWDDE

pith:2019:MXFCWDDEYOQC2XTPNZGRZ76ML4

not attested not anchored not stored refs pending

Large-$N$ expansion for condensation and stability of Bose-Bose mixtures at finite temperatures

Orest Hryhorchak, Volodymyr Pastukhov

arxiv:1904.12351 v2 · 2019-04-28 · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXFCWDDEYOQC2XTPNZGRZ76ML4}

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	2026-07-05T01:55:41.543650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ca2b0c64c3a02d5e6f6e4d1cffcc5f3d2233f0c9c2948b14116f451d314633

Aliases

arxiv: 1904.12351 · arxiv_version: 1904.12351v2 · doi: 10.48550/arxiv.1904.12351 · pith_short_12: MXFCWDDEYOQC · pith_short_16: MXFCWDDEYOQC2XTP · pith_short_8: MXFCWDDE

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/MXFCWDDEYOQC2XTPNZGRZ76ML4 \
  | 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: 65ca2b0c64c3a02d5e6f6e4d1cffcc5f3d2233f0c9c2948b14116f451d314633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc3330dca83f1f1d9833005b5489e4e8e50993969204591e3c904eeccec895d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2019-04-28T17:35:51Z",
    "title_canon_sha256": "c47fb7f5cc0fdd91b08e404c6f60382d7c66ad32d1169fd184c671644af2ff09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12351",
    "kind": "arxiv",
    "version": 2
  }
}