Pith Number

pith:MYY6I57R

pith:2018:MYY6I57RP3DWU3RXI3NYTRR7XB

not attested not anchored not stored refs pending

Stochastic Expansions Including Random Inputs on the Unit Circle

Brandon A. Jones, Marc Balducci

arxiv:1808.01052 v1 · 2018-08-03 · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MYY6I57RP3DWU3RXI3NYTRR7XB}

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	2026-05-18T00:08:59.191786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6631e477f17ec76a6e3746db89c63fb872b7630cc598dfa0591a1f279e230d66

Aliases

arxiv: 1808.01052 · arxiv_version: 1808.01052v1 · doi: 10.48550/arxiv.1808.01052 · pith_short_12: MYY6I57RP3DW · pith_short_16: MYY6I57RP3DWU3RX · pith_short_8: MYY6I57R

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/MYY6I57RP3DWU3RXI3NYTRR7XB \
  | 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: 6631e477f17ec76a6e3746db89c63fb872b7630cc598dfa0591a1f279e230d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c3d947f9042474a63be2e185cd93da37211261e90fe3833617336242141b10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2018-08-03T00:33:07Z",
    "title_canon_sha256": "2d37ff6e207b622743b9075807b7490c7ae570aed21d9782b938d6411589d52e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01052",
    "kind": "arxiv",
    "version": 1
  }
}