Pith Number

pith:3FXV7Z7P

pith:2017:3FXV7Z7PO2RC4SBQV7QVBUVPUJ

not attested not anchored not stored refs pending

Non-commutative rational function in strongly convergent random variables

Sheng Yin

arxiv:1702.07250 v1 · 2017-02-23 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FXV7Z7PO2RC4SBQV7QVBUVPUJ}

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	2026-05-18T00:50:07.716571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d96f5fe7ef76a22e4830afe150d2afa26cbf9d384eaa7d3bb215215fe6b7aebc

Aliases

arxiv: 1702.07250 · arxiv_version: 1702.07250v1 · doi: 10.48550/arxiv.1702.07250 · pith_short_12: 3FXV7Z7PO2RC · pith_short_16: 3FXV7Z7PO2RC4SBQ · pith_short_8: 3FXV7Z7P

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/3FXV7Z7PO2RC4SBQV7QVBUVPUJ \
  | 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: d96f5fe7ef76a22e4830afe150d2afa26cbf9d384eaa7d3bb215215fe6b7aebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d92c829122fa8d4562b90cb661a21ab42b770168630cc72392fa357f2ef0e26f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-02-23T15:05:37Z",
    "title_canon_sha256": "37768bc683339eabd55209536b28f686075c06781768e6e21905d126a451a643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07250",
    "kind": "arxiv",
    "version": 1
  }
}