Pith Number

pith:ER5CZLP6

pith:2021:ER5CZLP6IQRL4CFJMY3FCQ3QHW

not attested not anchored not stored refs pending

Polarizations of abelian varieties over finite fields via canonical liftings

Jonas Bergstr\"om, Stefano Marseglia, Valentijn Karemaker

arxiv:2101.05531 v3 · 2021-01-14 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ER5CZLP6IQRL4CFJMY3FCQ3QHW}

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	2026-07-05T10:20:32.718973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

247a2cadfe4422be08a966365143703d82e8549f4bbfbebc84681faff67e96c2

Aliases

arxiv: 2101.05531 · arxiv_version: 2101.05531v3 · doi: 10.48550/arxiv.2101.05531 · pith_short_12: ER5CZLP6IQRL · pith_short_16: ER5CZLP6IQRL4CFJ · pith_short_8: ER5CZLP6

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/ER5CZLP6IQRL4CFJMY3FCQ3QHW \
  | 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: 247a2cadfe4422be08a966365143703d82e8549f4bbfbebc84681faff67e96c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41cb640d67988117570575610327d74beb05ef5ed76b1bfc9c7b9d3d6120dc9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-01-14T10:05:00Z",
    "title_canon_sha256": "902d725ca90100dbd3bad939f8d86cf5791ae746a384e5391b5b5d08638fafc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05531",
    "kind": "arxiv",
    "version": 3
  }
}