Pith Number

pith:22BUZFYW

pith:2018:22BUZFYW7KGKYNSHBFI7EVY442

not attested not anchored not stored refs pending

Compound Bi-free Poisson Distributions

Mingchu Gao

arxiv:1806.01007 v2 · 2018-06-04 · 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{22BUZFYW7KGKYNSHBFI7EVY442}

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	2026-05-17T23:46:41.857723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6834c9716fa8cac36470951f2571ce6a3d0b660cf87bc234a141a31bedca6d3

Aliases

arxiv: 1806.01007 · arxiv_version: 1806.01007v2 · doi: 10.48550/arxiv.1806.01007 · pith_short_12: 22BUZFYW7KGK · pith_short_16: 22BUZFYW7KGKYNSH · pith_short_8: 22BUZFYW

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/22BUZFYW7KGKYNSHBFI7EVY442 \
  | 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: d6834c9716fa8cac36470951f2571ce6a3d0b660cf87bc234a141a31bedca6d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f8a2b3b12a07f1a0314a1ef6c0a693e4d13952b2664d860f5fa10005de284b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-06-04T08:39:41Z",
    "title_canon_sha256": "ed7d9bfb9ffc59febe146eabc205645e1f2d77339d2dfc99a56b85053d725399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01007",
    "kind": "arxiv",
    "version": 2
  }
}