Pith Number

pith:HGKUPSTV

pith:2018:HGKUPSTVQZXWGUORGCU7SLHC4E

not attested not anchored not stored refs pending

Further results on the Morgan-Mullen conjecture

Giorgos Kapetanakis, Theodoulos Garefalakis

arxiv:1811.00896 v4 · 2018-11-01 · 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{HGKUPSTVQZXWGUORGCU7SLHC4E}

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	2026-05-17T23:46:46.002663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

399547ca75866f6351d130a9f92ce2e138af77a1d3390d21e344545044ed8383

Aliases

arxiv: 1811.00896 · arxiv_version: 1811.00896v4 · doi: 10.48550/arxiv.1811.00896 · pith_short_12: HGKUPSTVQZXW · pith_short_16: HGKUPSTVQZXWGUOR · pith_short_8: HGKUPSTV

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/HGKUPSTVQZXWGUORGCU7SLHC4E \
  | 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: 399547ca75866f6351d130a9f92ce2e138af77a1d3390d21e344545044ed8383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a275010f9f331c58086d7cc64aa80eb9a7631ee6e7bea96d1c1b309c400fdcbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-01T10:51:33Z",
    "title_canon_sha256": "07e5cae5648cf1525b1543f517ec535f8bb30c1464d523f906df6c9cc90a7c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00896",
    "kind": "arxiv",
    "version": 4
  }
}