Pith Number

pith:2F3FJ3FF

pith:2015:2F3FJ3FFBZVWLHCR2NFMLRZWGP

not attested not anchored not stored refs pending

Series representations for bivariate time-changed L{\'e}vy models

Igor Sirotkin, Vladimir Panov

arxiv:1503.02214 v1 · 2015-03-07 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2F3FJ3FFBZVWLHCR2NFMLRZWGP}

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	2026-05-18T02:25:25.606252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17654eca50e6b659c51d34ac5c73633fd2097df3a7b5a410c400c3c194dbc28

Aliases

arxiv: 1503.02214 · arxiv_version: 1503.02214v1 · doi: 10.48550/arxiv.1503.02214 · pith_short_12: 2F3FJ3FFBZVW · pith_short_16: 2F3FJ3FFBZVWLHCR · pith_short_8: 2F3FJ3FF

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/2F3FJ3FFBZVWLHCR2NFMLRZWGP \
  | 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: d17654eca50e6b659c51d34ac5c73633fd2097df3a7b5a410c400c3c194dbc28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b0a16c424f6172c8b1cff1a0746cde34130a3302a176a1ee84a0550b885ec6",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-03-07T21:26:05Z",
    "title_canon_sha256": "7fdf7673532b83ef2003e99a8cc989f5ff700aa71a68a904894a08d0bf038def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02214",
    "kind": "arxiv",
    "version": 1
  }
}