Pith Number

pith:3YSNLI26

pith:2026:3YSNLI26RK47QWER5AHQJIXC7O

not attested not anchored not stored refs pending

Mersenne Representation, the Conolly Sequence, and Soliton Profiles over Finite Fields

Fumitaka Yura

arxiv:2607.22202 v1 · 2026-07-24 · math.CO · math.DS · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YSNLI26RK47QWER5AHQJIXC7O}

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	2026-07-27T01:20:53.641164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de24d5a35e8ab9f85891e80f04a2e2fb86b3f98b93b360afd6ad8d1c992beb07

Aliases

arxiv: 2607.22202 · arxiv_version: 2607.22202v1 · doi: 10.48550/arxiv.2607.22202 · pith_short_12: 3YSNLI26RK47 · pith_short_16: 3YSNLI26RK47QWER · pith_short_8: 3YSNLI26

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/3YSNLI26RK47QWER5AHQJIXC7O \
  | 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: de24d5a35e8ab9f85891e80f04a2e2fb86b3f98b93b360afd6ad8d1c992beb07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb0d6982954833063ed910a6e2b2803306da59063ef9d1ce9a3e5347ad65ca93",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-24T11:16:33Z",
    "title_canon_sha256": "a13a30ee5eb776c9ba87d4013586262a574fc1a0fbef9a486699f0c4da195be5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22202",
    "kind": "arxiv",
    "version": 1
  }
}