Pith Number

pith:4VZO44QM

pith:2011:4VZO44QM3T343V42P3B36LMPAR

not attested not anchored not stored refs pending

Mass formula of division algebras over global function fields

Chia-Fu Yu, Fu-Tsun Wei

arxiv:1102.5465 v2 · 2011-02-27 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VZO44QM3T343V42P3B36LMPAR}

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	2026-05-18T04:20:21.999617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e572ee720cdcf7cdd79a7ec3bf2d8f044e4cdef6738679a37230fe20f8f24399

Aliases

arxiv: 1102.5465 · arxiv_version: 1102.5465v2 · doi: 10.48550/arxiv.1102.5465 · pith_short_12: 4VZO44QM3T34 · pith_short_16: 4VZO44QM3T343V42 · pith_short_8: 4VZO44QM

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/4VZO44QM3T343V42P3B36LMPAR \
  | 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: e572ee720cdcf7cdd79a7ec3bf2d8f044e4cdef6738679a37230fe20f8f24399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9895fcb646aa349107778b41731890a4051336eda1b0ae4cdb578719f0c26a57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-27T01:46:47Z",
    "title_canon_sha256": "bdff73ddbfd3f0819d07962786a22a5c897f60138d5727637f10363b8f0a103e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5465",
    "kind": "arxiv",
    "version": 2
  }
}