Pith Number

pith:6A332MXZ

pith:2004:6A332MXZIUKSKIRS2NAJRJY24R

not attested not anchored not stored refs pending

Models with Recoil for Bose-Einstein Condensation and Superradiance

Andr\'e F. Verbeure, Joseph V. Pul\'e, Valentin A. Zagrebnov (CPT)

arxiv:math-ph/0410057 v2 · 2004-10-27 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6A332MXZIUKSKIRS2NAJRJY24R}

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	2026-05-18T01:08:53.288683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f037bd32f94515252232d34098a71ae454de96816990c72a6086f468698afdb3

Aliases

arxiv: math-ph/0410057 · arxiv_version: math-ph/0410057v2 · doi: 10.48550/arxiv.math-ph/0410057 · pith_short_12: 6A332MXZIUKS · pith_short_16: 6A332MXZIUKSKIRS · pith_short_8: 6A332MXZ

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/6A332MXZIUKSKIRS2NAJRJY24R \
  | 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: f037bd32f94515252232d34098a71ae454de96816990c72a6086f468698afdb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d80ee2f273446dad162da3f8fa584ff5357efe9be1c10b868f264c26bc157260",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-10-27T19:43:48Z",
    "title_canon_sha256": "eb24dc03fb672caa2c10b6a782ba729cf94a72c50a20513366d905d3b3989ea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0410057",
    "kind": "arxiv",
    "version": 2
  }
}