Pith Number

pith:TKGL6TUH

pith:2012:TKGL6TUHF5CSIR57YR3EIRAYXC

not attested not anchored not stored refs pending

Operator-valued and multivariate free Berry-Esseen theorems

Roland Speicher, Tobias Mai

arxiv:1202.2740 v1 · 2012-02-13 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKGL6TUHF5CSIR57YR3EIRAYXC}

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	2026-05-18T04:02:25.800008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a8cbf4e872f452447bfc476444418b88dc0e8cd6a33653b61fe304abe2d8f99

Aliases

arxiv: 1202.2740 · arxiv_version: 1202.2740v1 · doi: 10.48550/arxiv.1202.2740 · pith_short_12: TKGL6TUHF5CS · pith_short_16: TKGL6TUHF5CSIR57 · pith_short_8: TKGL6TUH

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/TKGL6TUHF5CSIR57YR3EIRAYXC \
  | 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: 9a8cbf4e872f452447bfc476444418b88dc0e8cd6a33653b61fe304abe2d8f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485dfb0277179badce79a25a7fc8fee269963d2bc523b442049294db0a1f583a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-02-13T14:27:54Z",
    "title_canon_sha256": "0d685b1c0321a8ec86dc648557942c5de71a817791164625f6dcbb1c486b30f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2740",
    "kind": "arxiv",
    "version": 1
  }
}