Pith Number

pith:QZXQDRQK

pith:2015:QZXQDRQKJIF5KGQRUKLX2I3TV4

not attested not anchored not stored refs pending

Hypergroup properties for the deltoid model

Dominique Bakry (IMT), Olfa Zribi (IMT)

arxiv:1503.07120 v1 · 2015-03-24 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZXQDRQKJIF5KGQRUKLX2I3TV4}

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	2026-05-18T02:20:29.379935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866f01c60a4a0bd51a11a2977d2373af07fedd707ff71b3db3c7bbf23fd4198b

Aliases

arxiv: 1503.07120 · arxiv_version: 1503.07120v1 · doi: 10.48550/arxiv.1503.07120 · pith_short_12: QZXQDRQKJIF5 · pith_short_16: QZXQDRQKJIF5KGQR · pith_short_8: QZXQDRQK

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/QZXQDRQKJIF5KGQRUKLX2I3TV4 \
  | 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: 866f01c60a4a0bd51a11a2977d2373af07fedd707ff71b3db3c7bbf23fd4198b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb6521f4a16ca17f32c102993c4fcee13d06b72f3ea68b71b9ce6197f51659e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-24T17:46:54Z",
    "title_canon_sha256": "6d9a77fc13a7733986e76438826215631c6f63236a09f45981a01c234a0c490a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07120",
    "kind": "arxiv",
    "version": 1
  }
}