Pith Number

pith:G3CGBBQB

pith:2026:G3CGBBQBLTPQ6WRGMNTRON26U4

not attested not anchored not stored refs pending

Deterministic methods for finding elements of large multiplicative order

David Harvey, Markus Hittmeir

arxiv:2601.11131 v2 · 2026-01-16 · 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{G3CGBBQBLTPQ6WRGMNTRON26U4}

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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.

Cited by

1 paper in Pith

Deterministically finding an element of large order in $\mathbb{Z}_N^*$

Receipt and verification

First computed	2026-06-08T01:03:55.652734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36c46086015cdf0f5a26636717375ea71949e8d5d190cd5f8de9fd8e2070b593

Aliases

arxiv: 2601.11131 · arxiv_version: 2601.11131v2 · doi: 10.48550/arxiv.2601.11131 · pith_short_12: G3CGBBQBLTPQ · pith_short_16: G3CGBBQBLTPQ6WRG · pith_short_8: G3CGBBQB

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/G3CGBBQBLTPQ6WRGMNTRON26U4 \
  | 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: 36c46086015cdf0f5a26636717375ea71949e8d5d190cd5f8de9fd8e2070b593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761b147108c9a6d1edbbc5069a373047c5ae69967c4c75dca719f391856f8d1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-01-16T09:45:56Z",
    "title_canon_sha256": "d3e199ec3b60a139e97ca35fcb79729b85b456911361261009bd6e3bc5964ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.11131",
    "kind": "arxiv",
    "version": 2
  }
}