Pith Number

pith:WOKIZJSN

pith:2015:WOKIZJSND6G6ET4G4QM4SALTDS

not attested not anchored not stored refs pending

Tensor Products of Cyclic Algebras of Degree 4 and their Kummer Subspaces

Adam Chapman, Charlotte Ure

arxiv:1502.04411 v2 · 2015-02-16 · 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{WOKIZJSND6G6ET4G4QM4SALTDS}

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	2026-05-18T01:11:21.828793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3948ca64d1f8de24f86e419c901731c84187ed4ad0169ad5f31611a1ed2868f

Aliases

arxiv: 1502.04411 · arxiv_version: 1502.04411v2 · doi: 10.48550/arxiv.1502.04411 · pith_short_12: WOKIZJSND6G6 · pith_short_16: WOKIZJSND6G6ET4G · pith_short_8: WOKIZJSN

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/WOKIZJSND6G6ET4G4QM4SALTDS \
  | 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: b3948ca64d1f8de24f86e419c901731c84187ed4ad0169ad5f31611a1ed2868f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dbfc534619716582ce5a651bb28b5dbcdf269ecc32e1bea728005489f734668",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-02-16T03:09:28Z",
    "title_canon_sha256": "c3c23875f26c4b690a1b424826dc8e7b24d357109330099792c8fe692c4b13f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04411",
    "kind": "arxiv",
    "version": 2
  }
}