Pith Number

pith:CNBFYTHJ

pith:2011:CNBFYTHJW2MUMXX7NVWWSILHPD

not attested not anchored not stored refs pending

Bose-Einstein Condensation on Product Manifolds

Guglielmo Fucci, Klaus Kirsten

arxiv:1106.0038 v1 · 2011-05-31 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNBFYTHJW2MUMXX7NVWWSILHPD}

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	2026-05-18T04:16:53.282849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13425c4ce9b699465eff6d6d69216778f95c76796fda6c474d69d5515e9c5aa5

Aliases

arxiv: 1106.0038 · arxiv_version: 1106.0038v1 · doi: 10.48550/arxiv.1106.0038 · pith_short_12: CNBFYTHJW2MU · pith_short_16: CNBFYTHJW2MUMXX7 · pith_short_8: CNBFYTHJ

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/CNBFYTHJW2MUMXX7NVWWSILHPD \
  | 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: 13425c4ce9b699465eff6d6d69216778f95c76796fda6c474d69d5515e9c5aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f0fbe46f8977be5af561bfad9f9335e9c6ee9fa71b48e808b7a9b1448b9a6dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-05-31T21:53:55Z",
    "title_canon_sha256": "06222fbd9042e47adc461e90b9655d8eb3d5386cb911ca5e59691c9d26ef58da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0038",
    "kind": "arxiv",
    "version": 1
  }
}