Pith Number

pith:AWBCGQLX

pith:2014:AWBCGQLX566ZEOUQMSHHK3FFDX

not attested not anchored not stored refs pending

Crossed product extensions of spectral triples

Bruno Iochum, Thierry Masson

arxiv:1406.4642 v3 · 2014-06-18 · 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{AWBCGQLX566ZEOUQMSHHK3FFDX}

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	2026-05-18T01:26:03.082631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0582234177efbd923a90648e756ca51dfce26e832b8476a3c08fb6a0e9ec70f7

Aliases

arxiv: 1406.4642 · arxiv_version: 1406.4642v3 · doi: 10.48550/arxiv.1406.4642 · pith_short_12: AWBCGQLX566Z · pith_short_16: AWBCGQLX566ZEOUQ · pith_short_8: AWBCGQLX

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/AWBCGQLX566ZEOUQMSHHK3FFDX \
  | 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: 0582234177efbd923a90648e756ca51dfce26e832b8476a3c08fb6a0e9ec70f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067292b09aa042162baa91b74b003a4a8a35cbf7506aa2f3ebebbe4615f01868",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-06-18T08:51:18Z",
    "title_canon_sha256": "594db1b07b0ad2793e15dff3cbecf00ab85c523f751b73667c5a53b2ee92d574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4642",
    "kind": "arxiv",
    "version": 3
  }
}