Pith Number

pith:XUDK4UM5

pith:2016:XUDK4UM52NFO2TU2XFD5VTTVZA

not attested not anchored not stored refs pending

Regular variation of a random length sequence of random variables and application to risk assessment

Charles Tillier, Olivier Wintenberger

arxiv:1606.08321 v1 · 2016-06-27 · 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{XUDK4UM52NFO2TU2XFD5VTTVZA}

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	2026-05-18T01:11:52.342354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd06ae519dd34aed4e9ab947dace75c813bf39ff6754977a6337bc0559190a42

Aliases

arxiv: 1606.08321 · arxiv_version: 1606.08321v1 · doi: 10.48550/arxiv.1606.08321 · pith_short_12: XUDK4UM52NFO · pith_short_16: XUDK4UM52NFO2TU2 · pith_short_8: XUDK4UM5

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/XUDK4UM52NFO2TU2XFD5VTTVZA \
  | 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: bd06ae519dd34aed4e9ab947dace75c813bf39ff6754977a6337bc0559190a42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc1cfc9375185bea618250cde2de9f01b90dd3727118ec590284e5a02d82702a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-27T15:35:53Z",
    "title_canon_sha256": "f68756366aaded3740e9dab2648d1ba4c43f5feab3173b747fa37d3eb84e51e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08321",
    "kind": "arxiv",
    "version": 1
  }
}