Pith Number

pith:JSXEUB6Q

pith:2019:JSXEUB6QDQFWEVRPYLM7LC5YAK

not attested not anchored not stored refs pending

Bivariate Bernstein-gamma functions and moments of exponential functionals of subordinators

Adam Barker, Mladen Savov

arxiv:1907.07966 v1 · 2019-07-18 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSXEUB6QDQFWEVRPYLM7LC5YAK}

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	2026-05-17T23:40:15.545937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cae4a07d01c0b62562fc2d9f58bb802a4077d11b45db40e25e1b25ff68e79b2

Aliases

arxiv: 1907.07966 · arxiv_version: 1907.07966v1 · doi: 10.48550/arxiv.1907.07966 · pith_short_12: JSXEUB6QDQFW · pith_short_16: JSXEUB6QDQFWEVRP · pith_short_8: JSXEUB6Q

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/JSXEUB6QDQFWEVRPYLM7LC5YAK \
  | 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: 4cae4a07d01c0b62562fc2d9f58bb802a4077d11b45db40e25e1b25ff68e79b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35a1310663fa29bcdc78113dc1f9bc102a3cee79ed65a4ec96edaa386cc2c691",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-18T10:23:09Z",
    "title_canon_sha256": "13230351c2dcfbdcb32857bc7bc8ee2ecf217f9b5f84c88b3d5ac92829860c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07966",
    "kind": "arxiv",
    "version": 1
  }
}