Pith Number

pith:4OU442W5

pith:2014:4OU442W5X7PCXQ6UQEDUUWSOTB

not attested not anchored not stored refs pending

Kummer Subspaces of Tensor Products of Cyclic Algebras

Adam Chapman

arxiv:1405.0188 v1 · 2014-05-01 · 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{4OU442W5X7PCXQ6UQEDUUWSOTB}

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	2026-05-18T02:52:48.803581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a9ce6addbfde2bc3d481074a5a4e984703b83de649d345980fb9ec16767b4a

Aliases

arxiv: 1405.0188 · arxiv_version: 1405.0188v1 · doi: 10.48550/arxiv.1405.0188 · pith_short_12: 4OU442W5X7PC · pith_short_16: 4OU442W5X7PCXQ6U · pith_short_8: 4OU442W5

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/4OU442W5X7PCXQ6UQEDUUWSOTB \
  | 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: e3a9ce6addbfde2bc3d481074a5a4e984703b83de649d345980fb9ec16767b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c64c302a30e73f2bd15512c3d676f90f6bf92ec2d4094dc28982474773c151d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-05-01T15:27:13Z",
    "title_canon_sha256": "df50e2b876a9d520238026d2cf6cb182e7e81aa2a55885b6f97b42013f117a1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0188",
    "kind": "arxiv",
    "version": 1
  }
}