Pith Number

pith:MQNOKWFQ

pith:2022:MQNOKWFQEVF6UY7BRA4QUD6QWS

not attested not anchored not stored refs pending

Abelian varieties over finite fields and their groups of rational points

Caleb Springer, Stefano Marseglia

arxiv:2211.15280 v1 · 2022-11-28 · 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{MQNOKWFQEVF6UY7BRA4QUD6QWS}

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	2026-07-05T10:19:18.913920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641ae558b0254bea63e188390a0fd0b494dfb9f55d412d6e30a960bc82c4483d

Aliases

arxiv: 2211.15280 · arxiv_version: 2211.15280v1 · doi: 10.48550/arxiv.2211.15280 · pith_short_12: MQNOKWFQEVF6 · pith_short_16: MQNOKWFQEVF6UY7B · pith_short_8: MQNOKWFQ

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/MQNOKWFQEVF6UY7BRA4QUD6QWS \
  | 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: 641ae558b0254bea63e188390a0fd0b494dfb9f55d412d6e30a960bc82c4483d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ace2a582eac593844f9f27f6fa1bec728d487ae8ada01800d03d558f6574d2ff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-11-28T13:08:10Z",
    "title_canon_sha256": "4bd2777235e2f2adf1df1d47628a18bb5ccfe67abe26c9e30ca885c1ea4085cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.15280",
    "kind": "arxiv",
    "version": 1
  }
}