Pith Number

pith:ESJECQTQ

pith:2013:ESJECQTQT55A47QMNW7CSCUKPF

not attested not anchored not stored refs pending

Rigorous investigation of the reduced density matrix for the ideal Bose gas in harmonic traps by a loop-gas-like approach

Baptiste Savoie, Mathieu Beau (STP-DIAS)

arxiv:1306.3639 v3 · 2013-06-16 · math-ph · cond-mat.quant-gas · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESJECQTQT55A47QMNW7CSCUKPF}

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	2026-05-18T01:28:35.435478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24924142709f7a0e7e0c6dbe290a8a7964abe04592be37550f9dc1cf8c9c7143

Aliases

arxiv: 1306.3639 · arxiv_version: 1306.3639v3 · doi: 10.48550/arxiv.1306.3639 · pith_short_12: ESJECQTQT55A · pith_short_16: ESJECQTQT55A47QM · pith_short_8: ESJECQTQ

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/ESJECQTQT55A47QMNW7CSCUKPF \
  | 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: 24924142709f7a0e7e0c6dbe290a8a7964abe04592be37550f9dc1cf8c9c7143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833c75ed1d612268ecd43839b9fb57837fd94a31416e9a43dbbfc79d0de93927",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-16T07:47:57Z",
    "title_canon_sha256": "43fb112483cff2d11f72a978ede0e38f56c3f9d21600d3619f6a766a7436d012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3639",
    "kind": "arxiv",
    "version": 3
  }
}