pith. sign in
Pith Number

pith:CLFZYPAG

pith:2016:CLFZYPAG7MOD3E75GP7P7OCKJW
not attested not anchored not stored refs pending

Integral representations in supermanifolds: super Hodge duals, PCOs and Liouville forms

L. Castellani, P.A. Grassi, R. Catenacci

arxiv:1603.01092 v3 · 2016-03-03 · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CLFZYPAG7MOD3E75GP7P7OCKJW}

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 2026-05-18T01:05:12.557157Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

12cb9c3c06fb1c3d93fd33feffb84a4da4cec4c7ae57603a49ec3ee4661a33f5

Aliases

arxiv: 1603.01092 · arxiv_version: 1603.01092v3 · doi: 10.48550/arxiv.1603.01092 · pith_short_12: CLFZYPAG7MOD · pith_short_16: CLFZYPAG7MOD3E75 · pith_short_8: CLFZYPAG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CLFZYPAG7MOD3E75GP7P7OCKJW \
  | 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: 12cb9c3c06fb1c3d93fd33feffb84a4da4cec4c7ae57603a49ec3ee4661a33f5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fab9ff08560044a123fb3f634dfc4d4491872366ab876c28df6ee8225c4469f6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-03-03T13:26:32Z",
    "title_canon_sha256": "ec89b9ffb1815b04f3697a0dbbbd17ede38552948de29989643a691cacfeb150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01092",
    "kind": "arxiv",
    "version": 3
  }
}