Pith Number

pith:5QTUNJQ7

pith:2019:5QTUNJQ7A52NZFVQZOW4FIBGPK

not attested not anchored not stored refs pending

Projections over Quantum Homogeneous Odd-dimensional Spheres

Albert Jeu-Liang Sheu

arxiv:1903.02989 v3 · 2019-03-07 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QTUNJQ7A52NZFVQZOW4FIBGPK}

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	2026-05-17T23:45:14.777770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec2746a61f0774dc96b0cbadc2a0267a99e56606cb4f5f1aab357c1d971add0d

Aliases

arxiv: 1903.02989 · arxiv_version: 1903.02989v3 · doi: 10.48550/arxiv.1903.02989 · pith_short_12: 5QTUNJQ7A52N · pith_short_16: 5QTUNJQ7A52NZFVQ · pith_short_8: 5QTUNJQ7

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/5QTUNJQ7A52NZFVQZOW4FIBGPK \
  | 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: ec2746a61f0774dc96b0cbadc2a0267a99e56606cb4f5f1aab357c1d971add0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7049446ef981a6e6de22250cae4e0981e3d5347d545395c3bf286ad57b0117b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-03-07T15:27:18Z",
    "title_canon_sha256": "fe2e597957b1597e47a38647ad64f0f16dd36268807a19a1d0b3bf05b9f1ee92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02989",
    "kind": "arxiv",
    "version": 3
  }
}