Pith Number

pith:X3ILPIXI

pith:2009:X3ILPIXIQTBMU7CW7G2ENWZQCE

not attested not anchored not stored refs pending

The Binary Invariant Differential Operators on Weighted Densities on the superspace $\mathbb{R}^{1|n}$ and Cohomology

Mabrouk Ben Ammar, Nizar Ben Fraj, Salem Omri

arxiv:0912.5070 v1 · 2009-12-27 · math.RT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3ILPIXIQTBMU7CW7G2ENWZQCE}

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	2026-05-18T03:22:06.603358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed0b7a2e884c2ca7c56f9b446db301130f1769baa2d040e54807b3d94b0866d

Aliases

arxiv: 0912.5070 · arxiv_version: 0912.5070v1 · doi: 10.48550/arxiv.0912.5070 · pith_short_12: X3ILPIXIQTBM · pith_short_16: X3ILPIXIQTBMU7CW · pith_short_8: X3ILPIXI

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/X3ILPIXIQTBMU7CW7G2ENWZQCE \
  | 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: bed0b7a2e884c2ca7c56f9b446db301130f1769baa2d040e54807b3d94b0866d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff041f06aeb4c3aa6ddabdf642226b5b22a103326017a26acfc94c7b1abe19b3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-12-27T12:58:30Z",
    "title_canon_sha256": "4ad0f0310450fe66967978edb03aab60036466c33580c57e56cfb6a04f79690c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5070",
    "kind": "arxiv",
    "version": 1
  }
}