Pith Number

pith:ELATJ6UV

pith:2017:ELATJ6UV7SLPHUGCTVE6TF4V6L

not attested not anchored not stored refs pending

On the small cyclic torsion of elliptic curves over cubic number fields

Jian Wang

arxiv:1703.07614 v2 · 2017-03-22 · 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{ELATJ6UV7SLPHUGCTVE6TF4V6L}

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	2026-05-17T23:58:23.356212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22c134fa95fc96f3d0c29d49e99795f2da9311b83b2f573be9f0a116352f0f42

Aliases

arxiv: 1703.07614 · arxiv_version: 1703.07614v2 · doi: 10.48550/arxiv.1703.07614 · pith_short_12: ELATJ6UV7SLP · pith_short_16: ELATJ6UV7SLPHUGC · pith_short_8: ELATJ6UV

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/ELATJ6UV7SLPHUGCTVE6TF4V6L \
  | 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: 22c134fa95fc96f3d0c29d49e99795f2da9311b83b2f573be9f0a116352f0f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cb4db297ae8a141b96610b74e475ee3ee94def6fed174e895ec4da117ba0dd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-22T12:12:04Z",
    "title_canon_sha256": "6520f7ba9a8f53f7678260a638519ab32b4e133fd2dc933e91a4ef609e688b8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07614",
    "kind": "arxiv",
    "version": 2
  }
}