Pith Number

pith:ZRWRC42L

pith:2023:ZRWRC42LCHEMO3PAW277TZU22X

not attested not anchored not stored refs pending

Exponential bounds of the condensation for dilute Bose gases

Phan Th\`anh Nam, Simone Rademacher

arxiv:2307.10622 v4 · 2023-07-20 · math-ph · 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{ZRWRC42LCHEMO3PAW277TZU22X}

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.

Cited by

1 paper in Pith

Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime

Receipt and verification

First computed	2026-07-05T09:56:34.199855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc6d11734b11c8c76de0b6bff9e69ad5fb81187333d46e1ca238b8370ab2050a

Aliases

arxiv: 2307.10622 · arxiv_version: 2307.10622v4 · doi: 10.48550/arxiv.2307.10622 · pith_short_12: ZRWRC42LCHEM · pith_short_16: ZRWRC42LCHEMO3PA · pith_short_8: ZRWRC42L

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/ZRWRC42LCHEMO3PAW277TZU22X \
  | 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: cc6d11734b11c8c76de0b6bff9e69ad5fb81187333d46e1ca238b8370ab2050a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4b95b59cb1f994a5526bca08c8b793f5b7320d766b9a13f45c8f6a4b1a8c85",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-07-20T06:40:01Z",
    "title_canon_sha256": "f942b8e8f53da7eeaf9c5f339c4729b2c8fc59bc4f53745f3373546cb73f90d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.10622",
    "kind": "arxiv",
    "version": 4
  }
}