Pith Number

pith:55EN4N7V

pith:2021:55EN4N7VT35OGX7MM3V4Y2PJVG

not attested not anchored not stored refs pending

Every finite abelian group is the group of rational points of an ordinary abelian variety over $\mathbb{F}_2$, $\mathbb{F}_3$ and $\mathbb{F}_5$

Caleb Springer, Stefano Marseglia

arxiv:2105.08125 v3 · 2021-05-17 · 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{55EN4N7VT35OGX7MM3V4Y2PJVG}

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	2026-07-05T10:20:32.737135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef48de37f59efae35fec66ebcc69e9a9964148d2453bfaec2e59f3df0bf57e28

Aliases

arxiv: 2105.08125 · arxiv_version: 2105.08125v3 · doi: 10.48550/arxiv.2105.08125 · pith_short_12: 55EN4N7VT35O · pith_short_16: 55EN4N7VT35OGX7M · pith_short_8: 55EN4N7V

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/55EN4N7VT35OGX7MM3V4Y2PJVG \
  | 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: ef48de37f59efae35fec66ebcc69e9a9964148d2453bfaec2e59f3df0bf57e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c102efa3785b32bc4ff86e7fec378fe3e6292e19d68a3cbc56464a06510a7b95",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-05-17T19:30:10Z",
    "title_canon_sha256": "4b445e17fa6be3375f5986df9047707ab7b9fb106361f32dc1b96b97223a9065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08125",
    "kind": "arxiv",
    "version": 3
  }
}