Pith Number

pith:QOOIPPUO

pith:2026:QOOIPPUOPBE65F3C45MJEPSXKO

not attested not anchored not stored refs pending

Geometry of $\mathbf{F}_1$ and Cuntz-Krieger algebras

Igor V. Nikolaev

arxiv:2606.22010 v1 · 2026-06-20 · math.NT · math.AG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOOIPPUOPBE65F3C45MJEPSXKO}

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	2026-06-23T02:13:05.497641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

839c87be8e7849ee9762e758923e57539a3c929bf8950acf88627cdde928c337

Aliases

arxiv: 2606.22010 · arxiv_version: 2606.22010v1 · doi: 10.48550/arxiv.2606.22010 · pith_short_12: QOOIPPUOPBE6 · pith_short_16: QOOIPPUOPBE65F3C · pith_short_8: QOOIPPUO

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/QOOIPPUOPBE65F3C45MJEPSXKO \
  | 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: 839c87be8e7849ee9762e758923e57539a3c929bf8950acf88627cdde928c337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6effee479032d7758866f0cf9889dd1eee4952fa6cc2f972a1c2d4dfc4b609a8",
    "cross_cats_sorted": [
      "math.AG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-20T12:19:21Z",
    "title_canon_sha256": "b013cf215902d6eb6d4119a1abb0cbbe9509af1bdd39ebb89ae1df8dba090440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22010",
    "kind": "arxiv",
    "version": 1
  }
}