Pith Number

pith:K36ZKE26

pith:2005:K36ZKE26RC3Y4DAY3GY2VBJIA7

not attested not anchored not stored refs pending

A pairing between super Lie-Rinehart and periodic cyclic homology

Tomasz Maszczyk

arxiv:math/0512040 v1 · 2005-12-01 · math.KT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K36ZKE26RC3Y4DAY3GY2VBJIA7}

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	2026-07-04T16:56:40.154878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56fd95135e88b78e0c18d9b1aa852807d0ab5fea003a2a20c98aea13ca3cb1e0

Aliases

arxiv: math/0512040 · arxiv_version: math/0512040v1 · doi: 10.48550/arxiv.math/0512040 · pith_short_12: K36ZKE26RC3Y · pith_short_16: K36ZKE26RC3Y4DAY · pith_short_8: K36ZKE26

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/K36ZKE26RC3Y4DAY3GY2VBJIA7 \
  | 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: 56fd95135e88b78e0c18d9b1aa852807d0ab5fea003a2a20c98aea13ca3cb1e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0097ff87442cbf98b64ea00338a82d573e1a29ec0c8e4f02a8946b17214d5e5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2005-12-01T20:03:06Z",
    "title_canon_sha256": "32b65afd4c56301baeaceecb72186a36e64532fe934c40f697e8d9024e6d6d4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512040",
    "kind": "arxiv",
    "version": 1
  }
}