Pith Number

pith:BU2CUP4P

pith:2019:BU2CUP4PHU2RMEPTH2Y5J77FFU

not attested not anchored not stored refs pending

The degree Gini index of several classes of random trees and their poissonized counterparts---an evidence for a duality theory

Carly Domicolo, Hosam Mahmoud, Panpan Zhang

arxiv:1903.00086 v1 · 2019-02-28 · 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{BU2CUP4PHU2RMEPTH2Y5J77FFU}

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	2026-05-17T23:52:20.970132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d342a3f8f3d351611f33eb1d4ffe52d1b8388c3c98c88329713171e51a73a3e

Aliases

arxiv: 1903.00086 · arxiv_version: 1903.00086v1 · doi: 10.48550/arxiv.1903.00086 · pith_short_12: BU2CUP4PHU2R · pith_short_16: BU2CUP4PHU2RMEPT · pith_short_8: BU2CUP4P

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/BU2CUP4PHU2RMEPTH2Y5J77FFU \
  | 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: 0d342a3f8f3d351611f33eb1d4ffe52d1b8388c3c98c88329713171e51a73a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bde9b2f35f4e9f4a97ec406a6e65f26be3d33fdce352e9070523964e10e0dd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-28T22:12:38Z",
    "title_canon_sha256": "62a54cb823a5c6aca493a7e12c983125ec2f8559fa90266e3dc50b65e1a3926e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00086",
    "kind": "arxiv",
    "version": 1
  }
}