Pith Number

pith:DHJQK5HW

pith:2013:DHJQK5HWCJA4IC6WNLZ5OWCNP4

not attested not anchored not stored refs pending

The canonical trace and the noncommutative residue on the noncommutative torus

Carolina Neira Jim\'enez, Cyril Levy, Sylvie Paycha

arxiv:1303.0241 v2 · 2013-03-01 · math.AP · 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{DHJQK5HWCJA4IC6WNLZ5OWCNP4}

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	2026-05-18T02:55:39.277985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d30574f61241c40bd66af3d7584d7f20ef08e3ef473b05cf3730c4f5a0a619

Aliases

arxiv: 1303.0241 · arxiv_version: 1303.0241v2 · doi: 10.48550/arxiv.1303.0241 · pith_short_12: DHJQK5HWCJA4 · pith_short_16: DHJQK5HWCJA4IC6W · pith_short_8: DHJQK5HW

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/DHJQK5HWCJA4IC6WNLZ5OWCNP4 \
  | 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: 19d30574f61241c40bd66af3d7584d7f20ef08e3ef473b05cf3730c4f5a0a619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a1a0a02e415db36bba86e94bedb400846a44fcf9572f1a9e29e6bcd05632c0",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-01T18:13:27Z",
    "title_canon_sha256": "7fa6cae14ef3a8ebb46e32ec572841fef7b65adf8adff15135bd355e42cee08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0241",
    "kind": "arxiv",
    "version": 2
  }
}