Pith Number

pith:3BZYJDYC

pith:2015:3BZYJDYCB4RTPJAKVB44AI2ZI7

not attested not anchored not stored refs pending

Three Upsilon Transforms Related to Tempered Stable Distributions

Michael Grabchak

arxiv:1506.04856 v1 · 2015-06-16 · 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{3BZYJDYCB4RTPJAKVB44AI2ZI7}

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	2026-05-18T01:22:01.418343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d873848f020f2337a40aa879c0235947db2b137a77ec132be55cb93cb9a7176c

Aliases

arxiv: 1506.04856 · arxiv_version: 1506.04856v1 · doi: 10.48550/arxiv.1506.04856 · pith_short_12: 3BZYJDYCB4RT · pith_short_16: 3BZYJDYCB4RTPJAK · pith_short_8: 3BZYJDYC

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/3BZYJDYCB4RTPJAKVB44AI2ZI7 \
  | 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: d873848f020f2337a40aa879c0235947db2b137a77ec132be55cb93cb9a7176c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40d1d54a7371e97870d572ab48e5d1fd3426433ce84aa28d0faa1ff0f75e41fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-16T07:06:07Z",
    "title_canon_sha256": "9c4058f51606e61fe0021951616d899e65c6ecb85e344d10de5db85dea811b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04856",
    "kind": "arxiv",
    "version": 1
  }
}