Pith Number

pith:D2ITNJEM

pith:2023:D2ITNJEMVP6XZB3B5HWO7R7RCZ

not attested not anchored not stored refs pending

Functional degrees and arithmetic applications III: Beyond Prime Exponent

Pete L. Clark, Uwe Schauz

arxiv:2311.10527 v2 · 2023-11-17 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2ITNJEMVP6XZB3B5HWO7R7RCZ}

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	2026-07-05T11:55:59.287841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e9136a48cabfd7c8761e9ecefc7f1167484a875d166eef23eaeb82f673c36e2

Aliases

arxiv: 2311.10527 · arxiv_version: 2311.10527v2 · doi: 10.48550/arxiv.2311.10527 · pith_short_12: D2ITNJEMVP6X · pith_short_16: D2ITNJEMVP6XZB3B · pith_short_8: D2ITNJEM

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/D2ITNJEMVP6XZB3B5HWO7R7RCZ \
  | 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: 1e9136a48cabfd7c8761e9ecefc7f1167484a875d166eef23eaeb82f673c36e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b360080680c547fe87c13f974ff51736330380d7998d93b34d1eea406e8511a7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-11-17T13:47:37Z",
    "title_canon_sha256": "5e1991ef5108afe2e9909f99ba7d70c427f3039a071e772f0e92f4f3e1991f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.10527",
    "kind": "arxiv",
    "version": 2
  }
}