Pith Number

pith:TUUUDKKV

pith:2015:TUUUDKKV2HRI7W6A6WK5PUFD5M

not attested not anchored not stored refs pending

De Finetti theorems, mean-field limits and Bose-Einstein condensation

Nicolas Rougerie (LPM2C)

arxiv:1506.05263 v2 · 2015-06-17 · math-ph · cond-mat.quant-gas · math.AP · 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{TUUUDKKV2HRI7W6A6WK5PUFD5M}

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	2026-07-05T01:11:07.698034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d2941a955d1e28fdbc0f595d7d0a3eb30c0651d3eb41602a67bc9d5cb477c85

Aliases

arxiv: 1506.05263 · arxiv_version: 1506.05263v2 · doi: 10.48550/arxiv.1506.05263 · pith_short_12: TUUUDKKV2HRI · pith_short_16: TUUUDKKV2HRI7W6A · pith_short_8: TUUUDKKV

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/TUUUDKKV2HRI7W6A6WK5PUFD5M \
  | 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: 9d2941a955d1e28fdbc0f595d7d0a3eb30c0651d3eb41602a67bc9d5cb477c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b331a529ba05c05bd564d4a3d3f26fdea550438520cca8885845dc2a86028aff",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-17T10:02:02Z",
    "title_canon_sha256": "e8c4abd6883a07192f45c361a6535097f613c970d48ea41fa30307055e97b354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05263",
    "kind": "arxiv",
    "version": 2
  }
}