Pith Number

pith:HBN3EPBX

pith:2025:HBN3EPBXMP2E6GRUGNINBORNJO

not attested not anchored not stored refs pending

Free Perpetuities I: Existence, Subordination and Tail Asymptotics

Bartosz Ko{\l}odziejek, Kamil Szpojankowski, Serban Belinschi

arxiv:2503.10319 v2 · 2025-03-13 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBN3EPBXMP2E6GRUGNINBORNJO}

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.

Cited by

2 papers in Pith

Finite free perpetuities

On the empirical spectral distribution of matrix perpetuities

Receipt and verification

First computed	2026-07-05T10:41:53.376102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385bb23c3763f44f1a343350d0ba2d4b99b75f3ef0f0e8eb07a3c36bc939b6bc

Aliases

arxiv: 2503.10319 · arxiv_version: 2503.10319v2 · doi: 10.48550/arxiv.2503.10319 · pith_short_12: HBN3EPBXMP2E · pith_short_16: HBN3EPBXMP2E6GRU · pith_short_8: HBN3EPBX

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/HBN3EPBXMP2E6GRUGNINBORNJO \
  | 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: 385bb23c3763f44f1a343350d0ba2d4b99b75f3ef0f0e8eb07a3c36bc939b6bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737c3e6024c27bf250894485a9dd7b090b41bcc13c93ff35804fc099dabafb96",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-13T12:54:49Z",
    "title_canon_sha256": "40ee770b89386c74921accf268d92c1d141c6fce4eeb1c329aea32c77ce72e24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.10319",
    "kind": "arxiv",
    "version": 2
  }
}