Pith Number

pith:VVCC67FJ

pith:2016:VVCC67FJMMQP7DCOYJB2HILWYV

not attested not anchored not stored refs pending

Composites and Categories of Euclidean Jordan Algebras

Alexander Wilce, Howard Barnum, Matthew A. Graydon

arxiv:1606.09331 v3 · 2016-06-30 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVCC67FJMMQP7DCOYJB2HILWYV}

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.

Cited by

1 paper in Pith

Generalized Probability Theory: notes for a short course

Receipt and verification

First computed	2026-07-05T01:50:13.799263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad442f7ca96320ff8c4ec243a3a176c5469053708c88ac6544e5998947661f76

Aliases

arxiv: 1606.09331 · arxiv_version: 1606.09331v3 · doi: 10.48550/arxiv.1606.09331 · pith_short_12: VVCC67FJMMQP · pith_short_16: VVCC67FJMMQP7DCO · pith_short_8: VVCC67FJ

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/VVCC67FJMMQP7DCOYJB2HILWYV \
  | 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: ad442f7ca96320ff8c4ec243a3a176c5469053708c88ac6544e5998947661f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae7ed98da04608bb7fbd47807d3b42f8180e9140954fa0a2d54b56ae8d3b026f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-30T03:07:22Z",
    "title_canon_sha256": "69d4db0f3642d5f0d150f7205357ad0b72d014ad2176aa99cf9bac2a8de8b968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09331",
    "kind": "arxiv",
    "version": 3
  }
}