Pith Number

pith:54VYQZEQ

pith:2015:54VYQZEQP5A4T3JL5JE77G2B6N

not attested not anchored not stored refs pending

Classification of division gradings on finite-dimensional simple real algebras

Adri\'an Rodrigo-Escudero

arxiv:1506.01552 v2 · 2015-06-04 · 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{54VYQZEQP5A4T3JL5JE77G2B6N}

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	2026-05-18T01:23:58.132724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2b8864907f41c9ed2bea49ff9b41f35842bda221aa236b437f28b41ff701d1

Aliases

arxiv: 1506.01552 · arxiv_version: 1506.01552v2 · doi: 10.48550/arxiv.1506.01552 · pith_short_12: 54VYQZEQP5A4 · pith_short_16: 54VYQZEQP5A4T3JL · pith_short_8: 54VYQZEQ

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/54VYQZEQP5A4T3JL5JE77G2B6N \
  | 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: ef2b8864907f41c9ed2bea49ff9b41f35842bda221aa236b437f28b41ff701d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c239b5af83412620293b5b1eef93857037f77564c9466c28643191127431cad1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-06-04T11:30:52Z",
    "title_canon_sha256": "08c04c2f98f90ad23bd38645e15f9a91f30c0802d1ad3880bd762dfbfe6a9472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01552",
    "kind": "arxiv",
    "version": 2
  }
}