Pith Number

pith:B27U5YGR

pith:2009:B27U5YGRZTCBQGPMQQZGCU2BST

not attested not anchored not stored refs pending

The explicit expression of the fugacity for weakly interacting Bose and Fermi gases

Mi Xie, Wu-Sheng Dai

arxiv:0906.0952 v2 · 2009-06-04 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B27U5YGRZTCBQGPMQQZGCU2BST}

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	2026-05-18T00:31:05.878470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ebf4ee0d1ccc41819ec843261534194f4c6122860a556657ece36c30a2fcb34

Aliases

arxiv: 0906.0952 · arxiv_version: 0906.0952v2 · doi: 10.48550/arxiv.0906.0952 · pith_short_12: B27U5YGRZTCB · pith_short_16: B27U5YGRZTCBQGPM · pith_short_8: B27U5YGR

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/B27U5YGRZTCBQGPMQQZGCU2BST \
  | 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: 0ebf4ee0d1ccc41819ec843261534194f4c6122860a556657ece36c30a2fcb34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb18bb30a594011ad296a1d9587360a2a5a676f8ee135d0fd55eab56ed18c614",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-06-04T18:35:43Z",
    "title_canon_sha256": "9a52dbbdd9bd8cdaf519b656e0a13931fd2a6f3eaeece1ef88444fbc421afa6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0952",
    "kind": "arxiv",
    "version": 2
  }
}