Pith Number

pith:ARMT5TT6

pith:2018:ARMT5TT6U2SEDZN4QOL355E2YW

not attested not anchored not stored refs pending

Splitting Brauer classes using the universal Albanese

Max Lieblich, Wei Ho

arxiv:1805.12566 v3 · 2018-05-31 · math.AG · math.NT · 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{ARMT5TT6U2SEDZN4QOL355E2YW}

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	2026-05-18T00:01:01.798856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04593ece7ea6a441e5bc8397bef49ac5946ceed8dfcc9451ba871e1b559f9589

Aliases

arxiv: 1805.12566 · arxiv_version: 1805.12566v3 · doi: 10.48550/arxiv.1805.12566 · pith_short_12: ARMT5TT6U2SE · pith_short_16: ARMT5TT6U2SEDZN4 · pith_short_8: ARMT5TT6

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/ARMT5TT6U2SEDZN4QOL355E2YW \
  | 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: 04593ece7ea6a441e5bc8397bef49ac5946ceed8dfcc9451ba871e1b559f9589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6cbf1eddfb3847bb6989a29fb47b8469e4654a0cf07696ab19ce999efd05445",
    "cross_cats_sorted": [
      "math.NT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-31T17:17:56Z",
    "title_canon_sha256": "b88557599dd6a9c5cc0082814e3845be57bcb91ab499a2dc288033944ba2b8cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12566",
    "kind": "arxiv",
    "version": 3
  }
}