Pith Number

pith:LTCSYTIW

pith:2011:LTCSYTIWVHGLXNWJNGPLIHCUAZ

not attested not anchored not stored refs pending

No-go theorems for functorial localic spectra of noncommutative rings

Benno van den Berg, Chris Heunen

arxiv:1101.5924 v3 · 2011-01-31 · math.RA · math.CT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTCSYTIWVHGLXNWJNGPLIHCUAZ}

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	2026-05-18T03:44:15.671559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc52c4d16a9ccbbb6c9699eb41c540665bd90c51047749e88a5e8ce2c1a093c

Aliases

arxiv: 1101.5924 · arxiv_version: 1101.5924v3 · doi: 10.48550/arxiv.1101.5924 · pith_short_12: LTCSYTIWVHGL · pith_short_16: LTCSYTIWVHGLXNWJ · pith_short_8: LTCSYTIW

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/LTCSYTIWVHGLXNWJNGPLIHCUAZ \
  | 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: 5cc52c4d16a9ccbbb6c9699eb41c540665bd90c51047749e88a5e8ce2c1a093c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42be3f36537046ea5a42c0e3dfec5e3d7bc39622ef078c66c8a82d9bfd4fa42d",
    "cross_cats_sorted": [
      "math.CT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-31T11:49:42Z",
    "title_canon_sha256": "584bd682bf9d48a44bf530d35a576865c87d4fb395f0963dbb1e65adf61b51ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5924",
    "kind": "arxiv",
    "version": 3
  }
}