Pith Number

pith:QGXM7B3L

pith:2008:QGXM7B3LSKJUEA4SDR35I7R377

not attested not anchored not stored refs pending

Finite closed coverings of compact quantum spaces

Atabey Kaygun, Bartosz Zielinski, Piotr M. Hajac

arxiv:0901.0074 v4 · 2008-12-31 · math.QA · math.CT · 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{QGXM7B3LSKJUEA4SDR35I7R377}

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	2026-05-18T03:53:17.933803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81aecf876b92934203921c77d47e3bffd782225cb05b32c00676615c83bcc7e2

Aliases

arxiv: 0901.0074 · arxiv_version: 0901.0074v4 · doi: 10.48550/arxiv.0901.0074 · pith_short_12: QGXM7B3LSKJU · pith_short_16: QGXM7B3LSKJUEA4S · pith_short_8: QGXM7B3L

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/QGXM7B3LSKJUEA4SDR35I7R377 \
  | 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: 81aecf876b92934203921c77d47e3bffd782225cb05b32c00676615c83bcc7e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152afb2f2fa8b3f96bf456d42916b3af0dbbc51fbaad04992c68a0e7cecd0e68",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-12-31T09:53:19Z",
    "title_canon_sha256": "c86faec9e05a4ecb9737b21a18d8ec1df21e42b0e199c8c267202f13f45d100b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0074",
    "kind": "arxiv",
    "version": 4
  }
}