Pith Number

pith:3AEG2DQS

pith:2011:3AEG2DQSJIH7CF7ME2C5TT5PS4

not attested not anchored not stored refs pending

On the Law of Free Subordinators

Noriyoshi Sakuma, Octavio Arizmendi, Takahiro Hasebe

arxiv:1201.0311 v2 · 2011-12-31 · math.PR · 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{3AEG2DQSJIH7CF7ME2C5TT5PS4}

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	2026-05-18T03:38:12.703132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8086d0e124a0ff117ec2685d9cfaf973613c689a23ee223a5b6d87fdbd92862

Aliases

arxiv: 1201.0311 · arxiv_version: 1201.0311v2 · doi: 10.48550/arxiv.1201.0311 · pith_short_12: 3AEG2DQSJIH7 · pith_short_16: 3AEG2DQSJIH7CF7M · pith_short_8: 3AEG2DQS

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/3AEG2DQSJIH7CF7ME2C5TT5PS4 \
  | 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: d8086d0e124a0ff117ec2685d9cfaf973613c689a23ee223a5b6d87fdbd92862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc47992b4d193068a4115966f95c39aa8fad0de071474af5b36a6b0d50b938f0",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-31T22:25:08Z",
    "title_canon_sha256": "d570cbfdb89af3459434881de9579d8c45122151e3469bfe038a41f30097ca7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0311",
    "kind": "arxiv",
    "version": 2
  }
}