Pith Number

pith:IEUI4UQ5

pith:2013:IEUI4UQ5EIJZOA55DPQLFRONFD

not attested not anchored not stored refs pending

Fractional discrete processes: compound and mixed Poisson representations

Claudio Macci, Luisa Beghin

arxiv:1303.2861 v1 · 2013-03-12 · 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{IEUI4UQ5EIJZOA55DPQLFRONFD}

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	2026-05-18T03:31:07.805985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41288e521d22139703bd1be0b2c5cd28f3004391f0eb2b5693d322c185d76bac

Aliases

arxiv: 1303.2861 · arxiv_version: 1303.2861v1 · doi: 10.48550/arxiv.1303.2861 · pith_short_12: IEUI4UQ5EIJZ · pith_short_16: IEUI4UQ5EIJZOA55 · pith_short_8: IEUI4UQ5

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/IEUI4UQ5EIJZOA55DPQLFRONFD \
  | 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: 41288e521d22139703bd1be0b2c5cd28f3004391f0eb2b5693d322c185d76bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b66c64b3ae2dd34f772e31c72418e6a3dcc0a8901902c8454f0343f100194a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-12T12:48:02Z",
    "title_canon_sha256": "074b1625a31046a34058720f37547b243abd9ad1384ed8c78539e3e621eeeac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2861",
    "kind": "arxiv",
    "version": 1
  }
}