Pith Number

pith:VWSVKQOM

pith:2015:VWSVKQOMABFKQ2XABS4KQELR7X

not attested not anchored not stored refs pending

Involutions on tensor products of quaternion algebras

Demba Barry

arxiv:1512.01083 v1 · 2015-12-03 · 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{VWSVKQOMABFKQ2XABS4KQELR7X}

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	2026-05-18T01:25:18.976915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ada55541cc004aa86ae00cb8a81171fdfeaf372689b1f1c9897161787cad5d14

Aliases

arxiv: 1512.01083 · arxiv_version: 1512.01083v1 · doi: 10.48550/arxiv.1512.01083 · pith_short_12: VWSVKQOMABFK · pith_short_16: VWSVKQOMABFKQ2XA · pith_short_8: VWSVKQOM

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/VWSVKQOMABFKQ2XABS4KQELR7X \
  | 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: ada55541cc004aa86ae00cb8a81171fdfeaf372689b1f1c9897161787cad5d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa74411259e489407af3744620797546ad254b202cb04090efcfa88048525d71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-03T14:16:34Z",
    "title_canon_sha256": "9af67f0cc9edde30cc5d5ddab1af9dca2ed376edafbdaf17a325c8a36c42c838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01083",
    "kind": "arxiv",
    "version": 1
  }
}