Pith Number

pith:JFTAYKB5

pith:2014:JFTAYKB5A2IETJZLH5MFMP2HYB

not attested not anchored not stored refs pending

On the axioms defining a quadratic Jordan division algebra

Matthias Gr\"uninger

arxiv:1409.1093 v1 · 2014-09-03 · 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{JFTAYKB5A2IETJZLH5MFMP2HYB}

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	2026-05-18T02:28:47.625767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49660c283d069049a72b3f58563f47c0672b0f3595ec160625fc36839a4e018f

Aliases

arxiv: 1409.1093 · arxiv_version: 1409.1093v1 · doi: 10.48550/arxiv.1409.1093 · pith_short_12: JFTAYKB5A2IE · pith_short_16: JFTAYKB5A2IETJZL · pith_short_8: JFTAYKB5

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/JFTAYKB5A2IETJZLH5MFMP2HYB \
  | 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: 49660c283d069049a72b3f58563f47c0672b0f3595ec160625fc36839a4e018f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b40acc0a28f534ed189d0d13a4430d8d2d54981b3e21220614089a42faa43df0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-09-03T14:01:12Z",
    "title_canon_sha256": "75970cc6b90fe957e98fec8e876be3c3f2e9ca46adbf4aaf3ee466e2815f1630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1093",
    "kind": "arxiv",
    "version": 1
  }
}