Pith Number

pith:L4I2YJY2

pith:2013:L4I2YJY2C3AX2RKW6PJPKHMBQ4

not attested not anchored not stored refs pending

Simplicity of twists of abelian varieties

Alex Bartel

arxiv:1312.3187 v1 · 2013-12-11 · 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{L4I2YJY2C3AX2RKW6PJPKHMBQ4}

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	2026-05-18T01:10:46.147764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f11ac271a16c17d4556f3d2f51d818728d5ec9c468dc817829e5de8abc2f3cb

Aliases

arxiv: 1312.3187 · arxiv_version: 1312.3187v1 · doi: 10.48550/arxiv.1312.3187 · pith_short_12: L4I2YJY2C3AX · pith_short_16: L4I2YJY2C3AX2RKW · pith_short_8: L4I2YJY2

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/L4I2YJY2C3AX2RKW6PJPKHMBQ4 \
  | 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: 5f11ac271a16c17d4556f3d2f51d818728d5ec9c468dc817829e5de8abc2f3cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b9a41fcca1f403b132cfe3958df065d1509d082706eafe0d15a98ad8739fd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-11T14:33:47Z",
    "title_canon_sha256": "86524b9fbf08e4b4b79e13eca85cdc4d852a4f8e7b12f07777e28c7f0397c127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3187",
    "kind": "arxiv",
    "version": 1
  }
}