Pith Number

pith:RMUR3NGE

pith:2018:RMUR3NGEKCB2MOPMRQ4AZ3BFWS

not attested not anchored not stored refs pending

On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions

Antonio Lei, Gautier Ponsinet

arxiv:1807.07604 v2 · 2018-07-19 · 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{RMUR3NGEKCB2MOPMRQ4AZ3BFWS}

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	2026-05-17T23:45:20.763737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b291db4c45083a639ec8c380cec25b4b45de77bbdb031f382ffd8c639db90f8

Aliases

arxiv: 1807.07604 · arxiv_version: 1807.07604v2 · doi: 10.48550/arxiv.1807.07604 · pith_short_12: RMUR3NGEKCB2 · pith_short_16: RMUR3NGEKCB2MOPM · pith_short_8: RMUR3NGE

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/RMUR3NGEKCB2MOPMRQ4AZ3BFWS \
  | 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: 8b291db4c45083a639ec8c380cec25b4b45de77bbdb031f382ffd8c639db90f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc431570e392f721730dd6f5592ea4a32fe896231b9f9d4b704f378cd5bb2dc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-19T18:51:34Z",
    "title_canon_sha256": "7a981aedc2d7d9186bf6a507e53cd8a3893ca50f8c69b03b22bd95b2e0b7d85b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07604",
    "kind": "arxiv",
    "version": 2
  }
}