Pith Number

pith:FJAP7FE7

pith:2015:FJAP7FE7KKKH2VL7R7EVKTBY5V

not attested not anchored not stored refs pending

A Central Limit Theorem for Operators

Felipe Gon\c{c}alves

arxiv:1510.08381 v2 · 2015-10-28 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJAP7FE7KKKH2VL7R7EVKTBY5V}

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	2026-05-18T01:25:46.537487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a40ff949f52947d557f8fc9554c38ed6c734552594a619c12238ef4fd0d40ef

Aliases

arxiv: 1510.08381 · arxiv_version: 1510.08381v2 · doi: 10.48550/arxiv.1510.08381 · pith_short_12: FJAP7FE7KKKH · pith_short_16: FJAP7FE7KKKH2VL7 · pith_short_8: FJAP7FE7

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/FJAP7FE7KKKH2VL7R7EVKTBY5V \
  | 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: 2a40ff949f52947d557f8fc9554c38ed6c734552594a619c12238ef4fd0d40ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add46fdebf08dd71c054aa608ec83c0aac395ed49ed4657cd1c55d8ce1459aec",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-28T17:11:26Z",
    "title_canon_sha256": "f7aea6bd33ebc0680fdc39de368a2280eb3de6f843ddbfb4e30c71193da7ea39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08381",
    "kind": "arxiv",
    "version": 2
  }
}