Pith Number

pith:PICGC3O2

pith:2023:PICGC3O2FAZDMXLBXMFHYV6A65

not attested not anchored not stored refs pending

Uniqueness theorem of generalized Markov numbers that are prime powers

Shuhei Maruyama, Yasuaki Gyoda

arxiv:2312.07329 v2 · 2023-12-12 · 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{PICGC3O2FAZDMXLBXMFHYV6A65}

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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

4 papers in Pith

Words for generalized Markov numbers

Orderings of k-Markov Numbers

Generalized discrete Markov spectra

Orderings of Generalized k-Markov Numbers

Receipt and verification

First computed	2026-07-05T08:42:31.544807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a04616dda2832365d61bb0a7c57c0f770e74b58ddf0bdccc87640216eb9a679

Aliases

arxiv: 2312.07329 · arxiv_version: 2312.07329v2 · doi: 10.48550/arxiv.2312.07329 · pith_short_12: PICGC3O2FAZD · pith_short_16: PICGC3O2FAZDMXLB · pith_short_8: PICGC3O2

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/PICGC3O2FAZDMXLBXMFHYV6A65 \
  | 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: 7a04616dda2832365d61bb0a7c57c0f770e74b58ddf0bdccc87640216eb9a679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20eda7d4ea8fce682e01dfaac42f4788704efe77af512e84f06e6df4ec0820f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-12T14:45:12Z",
    "title_canon_sha256": "3e4daa429455413b1a6799c3f57feb0cfce31b45736864be5ea2e99dbfa5ff62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.07329",
    "kind": "arxiv",
    "version": 2
  }
}