Pith Number

pith:VFW7Q54S

pith:2024:VFW7Q54SEA3EZKXTHRWTWSU6H3

not attested not anchored not stored refs pending

Nonexistence of phantom categories on very general noncommutative projective planes

Koshiro Murai

arxiv:2412.15913 v1 · 2024-12-20 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFW7Q54SEA3EZKXTHRWTWSU6H3}

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	2026-07-05T09:52:31.981326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96df8779220364caaf33c6d3b4a9e3ef27c66860a2a256af2d3aa6e15bd1f53

Aliases

arxiv: 2412.15913 · arxiv_version: 2412.15913v1 · doi: 10.48550/arxiv.2412.15913 · pith_short_12: VFW7Q54SEA3E · pith_short_16: VFW7Q54SEA3EZKXT · pith_short_8: VFW7Q54S

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/VFW7Q54SEA3EZKXTHRWTWSU6H3 \
  | 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: a96df8779220364caaf33c6d3b4a9e3ef27c66860a2a256af2d3aa6e15bd1f53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c89f740de8be017497a6f5331533e2269e1e4b009640ae8e5d9d91586b7917ae",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-20T14:05:04Z",
    "title_canon_sha256": "6c13ef042b0cc7c9e27a371a3ab7e480e4cc38c575a4e8f86fdb761ee12d5e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15913",
    "kind": "arxiv",
    "version": 1
  }
}