Pith Number

pith:GRXM3G6I

pith:2015:GRXM3G6IJPM3OXBTH4KXEHPYN6

not attested not anchored not stored refs pending

On commuting $U$-operators in Jordan algebras

Ivan Shestakov

arxiv:1502.07904 v2 · 2015-02-27 · 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{GRXM3G6IJPM3OXBTH4KXEHPYN6}

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	2026-05-18T01:15:00.446699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346ecd9bc84bd9b75c333f15721df86fa1e6507fc0a56d72251dbcbc50316768

Aliases

arxiv: 1502.07904 · arxiv_version: 1502.07904v2 · doi: 10.48550/arxiv.1502.07904 · pith_short_12: GRXM3G6IJPM3 · pith_short_16: GRXM3G6IJPM3OXBT · pith_short_8: GRXM3G6I

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/GRXM3G6IJPM3OXBTH4KXEHPYN6 \
  | 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: 346ecd9bc84bd9b75c333f15721df86fa1e6507fc0a56d72251dbcbc50316768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981f9a7e0eeeda7754c478d31002dbb33700bf56e8dc7162e46ea267e2868f01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-02-27T14:18:02Z",
    "title_canon_sha256": "513d903a56c3c25491dc86bfe72492e30066e35b0cf8ceec038522509532fae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07904",
    "kind": "arxiv",
    "version": 2
  }
}