Pith Number

pith:GNZJZDTI

pith:2014:GNZJZDTIJNDZXFEBSXOEE45URJ

not attested not anchored not stored refs pending

Tails of weakly dependent random vectors

Peter Tankov

arxiv:1402.4683 v3 · 2014-02-19 · math.PR · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNZJZDTIJNDZXFEBSXOEE45URJ}

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	2026-05-18T01:22:03.521565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33729c8e684b479b948195dc4273b48a56c224e8f27176c15b3cfa92143dd561

Aliases

arxiv: 1402.4683 · arxiv_version: 1402.4683v3 · doi: 10.48550/arxiv.1402.4683 · pith_short_12: GNZJZDTIJNDZ · pith_short_16: GNZJZDTIJNDZXFEB · pith_short_8: GNZJZDTI

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/GNZJZDTIJNDZXFEBSXOEE45URJ \
  | 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: 33729c8e684b479b948195dc4273b48a56c224e8f27176c15b3cfa92143dd561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bcf15b68896228f4cfd97bd930fb1a97e5dd9659d93466bcf497fcfafe69b8f",
    "cross_cats_sorted": [
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-19T14:58:30Z",
    "title_canon_sha256": "59859300f826d4fd3e77c133636d5b0a591d13610225b23bfca0e63475c5d769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4683",
    "kind": "arxiv",
    "version": 3
  }
}