Pith Number

pith:HKT6SG3T

pith:2016:HKT6SG3T2L7QZ5SEJL2PYDNK64

not attested not anchored not stored refs pending

Graded Division Algebras over the Field of Real Numbers

Mikhail Zaicev, Yuri Bahturin

arxiv:1611.04000 v3 · 2016-11-12 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKT6SG3T2L7QZ5SEJL2PYDNK64}

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	2026-05-18T00:22:06.529588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aa7e91b73d2ff0cf6444af4fc0daaf70f1ebbf6a8211ff3cc687a9e288a1daf

Aliases

arxiv: 1611.04000 · arxiv_version: 1611.04000v3 · doi: 10.48550/arxiv.1611.04000 · pith_short_12: HKT6SG3T2L7Q · pith_short_16: HKT6SG3T2L7QZ5SE · pith_short_8: HKT6SG3T

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/HKT6SG3T2L7QZ5SEJL2PYDNK64 \
  | 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: 3aa7e91b73d2ff0cf6444af4fc0daaf70f1ebbf6a8211ff3cc687a9e288a1daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff09b8cde5877b2e8f98e037ade161073afd151bc61db3f81d30e8a5b8f8c4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-11-12T14:02:12Z",
    "title_canon_sha256": "f57f55b76d584b69904b39b8570bb8ae4c9f77a93e65f8f896dac3f648b9c8d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04000",
    "kind": "arxiv",
    "version": 3
  }
}