Pith Number

pith:7TPLL4MW

pith:2013:7TPLL4MWRX77D77MOKB2J3TH5J

not attested not anchored not stored refs pending

Real Spectral Triples over Noncommutative Bieberbach Manifolds

Andrzej Sitarz, Piotr Olczykowski

arxiv:1301.2240 v1 · 2013-01-10 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TPLL4MWRX77D77MOKB2J3TH5J}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:51:55.077797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcdeb5f1968dfff1ffec7283a4ee67ea5ec8c8aa6bbef89b81cc45cd135255e3

Aliases

arxiv: 1301.2240 · arxiv_version: 1301.2240v1 · doi: 10.48550/arxiv.1301.2240 · pith_short_12: 7TPLL4MWRX77 · pith_short_16: 7TPLL4MWRX77D77M · pith_short_8: 7TPLL4MW

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/7TPLL4MWRX77D77MOKB2J3TH5J \
  | 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: fcdeb5f1968dfff1ffec7283a4ee67ea5ec8c8aa6bbef89b81cc45cd135255e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd7ed8abb31d442cb45392baf608b4adc82764f1b1c61cf8535d24ed7617eaeb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-01-10T20:27:58Z",
    "title_canon_sha256": "d8525e8ff98da9f9427d6dd650c7a2233dd309185c0db8ddfc24eab1e2ed4515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2240",
    "kind": "arxiv",
    "version": 1
  }
}