Pith Number

pith:PHD4SOEZ

pith:2014:PHD4SOEZ23U3H2DTH6UG7OGFME

not attested not anchored not stored refs pending

A generalization of carries process and riffle shuffles

Fumihiko Nakano, Taizo Sadahiro

arxiv:1403.5822 v3 · 2014-03-24 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHD4SOEZ23U3H2DTH6UG7OGFME}

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	2026-05-18T00:48:55.301636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c7c93899d6e9b3e8733fa86fb8c5612c9bc600fc6f77010adf54aa79dc86f0

Aliases

arxiv: 1403.5822 · arxiv_version: 1403.5822v3 · doi: 10.48550/arxiv.1403.5822 · pith_short_12: PHD4SOEZ23U3 · pith_short_16: PHD4SOEZ23U3H2DT · pith_short_8: PHD4SOEZ

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/PHD4SOEZ23U3H2DTH6UG7OGFME \
  | 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: 79c7c93899d6e9b3e8733fa86fb8c5612c9bc600fc6f77010adf54aa79dc86f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "780e0b7b7f7e1394f3cb31347096c018b42a8ad7c843cfa5ca5c09986df88005",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-24T00:33:19Z",
    "title_canon_sha256": "07bc2b2a75929ba9e574e7ed7e2755083c55b1e8bb6ad7ba7f132b112f5db1d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5822",
    "kind": "arxiv",
    "version": 3
  }
}