Pith Number

pith:QJM2BB3P

pith:2010:QJM2BB3P32ZJFPQRJZ6OFJE7CH

not attested not anchored not stored refs pending

Quantum projective space from Toeplitz cubes

Atabey Kaygun, Bartosz Zielinski, Piotr M. Hajac

arxiv:1008.0673 v1 · 2010-08-03 · math.QA · 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{QJM2BB3P32ZJFPQRJZ6OFJE7CH}

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	2026-05-18T04:42:35.919370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8259a0876fdeb292be114e7ce2a49f11f329b85dee4508949e84ecfc59cacf6c

Aliases

arxiv: 1008.0673 · arxiv_version: 1008.0673v1 · doi: 10.48550/arxiv.1008.0673 · pith_short_12: QJM2BB3P32ZJ · pith_short_16: QJM2BB3P32ZJFPQR · pith_short_8: QJM2BB3P

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/QJM2BB3P32ZJFPQRJZ6OFJE7CH \
  | 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: 8259a0876fdeb292be114e7ce2a49f11f329b85dee4508949e84ecfc59cacf6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ca371928f10f456909c1def2b11ab7451eb85c3441128529ea86fda09fd07dd",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-08-03T23:11:14Z",
    "title_canon_sha256": "fc6fc77d9a19cc5a490d81d1a2f72a1c61f3268e155dc41ab535df046ed2f3c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0673",
    "kind": "arxiv",
    "version": 1
  }
}