Pith Number

pith:XPQ2KDSQ

pith:2015:XPQ2KDSQX263ZWL3WH4MX5PVAY

not attested not anchored not stored refs pending

An asymptotic formula for the number of irreducible transformation shift registers

Daniel Panario, Qiang Wang, Sartaj Ul Hasan, Stephen D. Cohen

arxiv:1506.02548 v1 · 2015-06-08 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPQ2KDSQX263ZWL3WH4MX5PVAY}

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	2026-05-18T01:16:29.743647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe1a50e50bebdbcd97bb1f8cbf5f506130f9b15aad5b72986d7d721539b0f74

Aliases

arxiv: 1506.02548 · arxiv_version: 1506.02548v1 · doi: 10.48550/arxiv.1506.02548 · pith_short_12: XPQ2KDSQX263 · pith_short_16: XPQ2KDSQX263ZWL3 · pith_short_8: XPQ2KDSQ

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/XPQ2KDSQX263ZWL3WH4MX5PVAY \
  | 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: bbe1a50e50bebdbcd97bb1f8cbf5f506130f9b15aad5b72986d7d721539b0f74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfaee56d290df48cd9084f19f0460cb463051c7630c4c9c57c5100e9e7380be9",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-08T15:26:45Z",
    "title_canon_sha256": "a14a86d27cd7467f9199311a91eb78c3a6457c9976bc78265904490708a785c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02548",
    "kind": "arxiv",
    "version": 1
  }
}