Pith Number

pith:KGJAAYFD

pith:2016:KGJAAYFDGABGDI5ZM5JITYX5XY

not attested not anchored not stored refs pending

Splitting theorem for $\mathbb{Z}_2^n$-supermanifolds

Janusz Grabowski, Norbert Poncin, Tiffany Covolo

arxiv:1602.03671 v2 · 2016-02-11 · math.DG · 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{KGJAAYFDGABGDI5ZM5JITYX5XY}

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	2026-05-18T00:52:50.529292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51920060a3300261a3b9675289e2fdbe08150f452495470a4d8f5bfbb5f04564

Aliases

arxiv: 1602.03671 · arxiv_version: 1602.03671v2 · doi: 10.48550/arxiv.1602.03671 · pith_short_12: KGJAAYFDGABG · pith_short_16: KGJAAYFDGABGDI5Z · pith_short_8: KGJAAYFD

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/KGJAAYFDGABGDI5ZM5JITYX5XY \
  | 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: 51920060a3300261a3b9675289e2fdbe08150f452495470a4d8f5bfbb5f04564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4704a8ac68858f68cc457a190d032c1d1b1afe2d11ead88c93594c7279f234",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-11T10:50:06Z",
    "title_canon_sha256": "340254417e3bf4632f21bd64a6be9c21c70cf6ad5842699359dfea16511d5d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03671",
    "kind": "arxiv",
    "version": 2
  }
}