Pith Number

pith:ZV44ABFO

pith:2024:ZV44ABFOOLBD555YMD2XOCQ5RR

not attested not anchored not stored refs pending

An Introduction to Permutation Processes (version 0.5)

Fang Han

arxiv:2407.09664 v1 · 2024-07-12 · math.ST · econ.EM · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZV44ABFOOLBD555YMD2XOCQ5RR}

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	2026-07-05T08:43:33.264937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd79c004ae72c23ef7b860f5770a1d8c6bde8b0c321c472e2bc9048978353fb0

Aliases

arxiv: 2407.09664 · arxiv_version: 2407.09664v1 · doi: 10.48550/arxiv.2407.09664 · pith_short_12: ZV44ABFOOLBD · pith_short_16: ZV44ABFOOLBD555Y · pith_short_8: ZV44ABFO

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/ZV44ABFOOLBD555YMD2XOCQ5RR \
  | 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: cd79c004ae72c23ef7b860f5770a1d8c6bde8b0c321c472e2bc9048978353fb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e204c144129a78d6dc08f86495e96d14fb6f6294ae0b1b89c51cb5048271567",
    "cross_cats_sorted": [
      "econ.EM",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-07-12T19:57:38Z",
    "title_canon_sha256": "4aec3777daa33f48484396c7e2554ea4fede6bfbec6392244bc730a1ba4dcc38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.09664",
    "kind": "arxiv",
    "version": 1
  }
}