Pith Number

pith:3ZMHPKQO

pith:2013:3ZMHPKQONX6CXF5QR4WJMZLRL6

not attested not anchored not stored refs pending

Fluctuations of the Bose-Einstein condensate

Persi Diaconis, Sourav Chatterjee

arxiv:1306.3625 v4 · 2013-06-16 · math.PR · 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{3ZMHPKQONX6CXF5QR4WJMZLRL6}

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	2026-05-18T02:57:14.697063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5877aa0e6dfc2b97b08f2c9665715f8e6ccd847934a0e6536ff579ea00a6a3

Aliases

arxiv: 1306.3625 · arxiv_version: 1306.3625v4 · doi: 10.48550/arxiv.1306.3625 · pith_short_12: 3ZMHPKQONX6C · pith_short_16: 3ZMHPKQONX6CXF5Q · pith_short_8: 3ZMHPKQO

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/3ZMHPKQONX6CXF5QR4WJMZLRL6 \
  | 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: de5877aa0e6dfc2b97b08f2c9665715f8e6ccd847934a0e6536ff579ea00a6a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee6b0e1b23d4956c21a46962e3048e94b8ed143bff91445c7b2e30814080fe4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-16T04:37:41Z",
    "title_canon_sha256": "95f80d08c25d0b3ad6fa22ca1fdd5d59fcf20f267c627f011d2540369f481d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3625",
    "kind": "arxiv",
    "version": 4
  }
}