pith. sign in
Pith Number

pith:AWDDI54J

pith:2013:AWDDI54JOQQTQZOB4HJ43VWAEP
not attested not anchored not stored refs pending

The Planck distribution of phonons in a Bose-Einstein condensate

A. Berkovitz, A. Blumkin, I. Shammass, J. Steinhauer, R. Schley, S. Rinott

arxiv:1307.2055 v1 · 2013-07-08 · cond-mat.quant-gas

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AWDDI54JOQQTQZOB4HJ43VWAEP}

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 2026-05-18T02:58:57.080170Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

058634778974213865c1e1d3cdd6c023c5f8b6ae894c397373aed60253352953

Aliases

arxiv: 1307.2055 · arxiv_version: 1307.2055v1 · doi: 10.48550/arxiv.1307.2055 · pith_short_12: AWDDI54JOQQT · pith_short_16: AWDDI54JOQQTQZOB · pith_short_8: AWDDI54J
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AWDDI54JOQQTQZOB4HJ43VWAEP \
  | 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: 058634778974213865c1e1d3cdd6c023c5f8b6ae894c397373aed60253352953
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "17e1aa23cb32fae653fad097fc2da2277413f40e56a25055ed70eddf5e822f99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2013-07-08T12:05:12Z",
    "title_canon_sha256": "f7206dff10d96439bef988fdf94ff43d09ef88063b91c5d3c64da5d4ceae0f7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2055",
    "kind": "arxiv",
    "version": 1
  }
}