pith. sign in
Pith Number

pith:X6D5FMBX

pith:2006:X6D5FMBX7QOLVD3R2CBAL62IQH
not attested not anchored not stored refs pending

Bose-Einstein Condensation of Confined and Non-interacting Bose Particles by the Integral Representation of Bose Functions

Sang-Hoon Kim

arxiv:cond-mat/0610221 v2 · 2006-10-09 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X6D5FMBX7QOLVD3R2CBAL62IQH}

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 2026-05-18T01:39:42.626968Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bf87d2b037fc1cba8f71d08205fb4881f793581e59c5d17981dacd7cd8c74de0

Aliases

arxiv: cond-mat/0610221 · arxiv_version: cond-mat/0610221v2 · doi: 10.48550/arxiv.cond-mat/0610221 · pith_short_12: X6D5FMBX7QOL · pith_short_16: X6D5FMBX7QOLVD3R · pith_short_8: X6D5FMBX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X6D5FMBX7QOLVD3R2CBAL62IQH \
  | 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: bf87d2b037fc1cba8f71d08205fb4881f793581e59c5d17981dacd7cd8c74de0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "51e1ec2cdd1d62c9a1f4147aaa0e56da53cc2f247acdd2bb54d139c257b693fe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2006-10-09T09:19:44Z",
    "title_canon_sha256": "63e9f981368f01252e88de927f216986964cfda7df361a1f07423e40f1de5875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0610221",
    "kind": "arxiv",
    "version": 2
  }
}