Pith Number

pith:KBKRGXLJ

pith:2025:KBKRGXLJHK2C5IJYAC372JRNBD

not attested not anchored not stored refs pending

Translates of completely normal elements and the Morgan-Mullen conjecture

Giorgos Kapetanakis, Theodoulos Garefalakis

arxiv:2509.23245 v3 · 2025-09-27 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBKRGXLJHK2C5IJYAC372JRNBD}

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	2026-06-03T14:05:18.406612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5055135d693ab42ea13800b7fd262d08d1083b2ec8b92ae0d6fb1dc256af39b5

Aliases

arxiv: 2509.23245 · arxiv_version: 2509.23245v3 · doi: 10.48550/arxiv.2509.23245 · pith_short_12: KBKRGXLJHK2C · pith_short_16: KBKRGXLJHK2C5IJY · pith_short_8: KBKRGXLJ

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/KBKRGXLJHK2C5IJYAC372JRNBD \
  | 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: 5055135d693ab42ea13800b7fd262d08d1083b2ec8b92ae0d6fb1dc256af39b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4cb55cc8ee8326b26c33f015d568d9b9be803434a26162c7ca700c285cd949f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-27T10:51:02Z",
    "title_canon_sha256": "7246daf288f508153a88acbf4938515b06ca5d271c744d051701b94ec582b71d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.23245",
    "kind": "arxiv",
    "version": 3
  }
}