Pith Number

pith:HY3IRFZL

pith:2013:HY3IRFZLWLFUI3VZTATLR6HM4N

not attested not anchored not stored refs pending

Tetrahedral Elliptic Curves and the local-global principle for Isogenies

Barinder Singh Banwait, John Cremona

arxiv:1306.6818 v3 · 2013-06-28 · 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{HY3IRFZLWLFUI3VZTATLR6HM4N}

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	2026-05-18T01:29:22.062378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e3688972bb2cb446eb99826b8f8ece345d036d94d5035a5c11a0d1c6de4dd20

Aliases

arxiv: 1306.6818 · arxiv_version: 1306.6818v3 · doi: 10.48550/arxiv.1306.6818 · pith_short_12: HY3IRFZLWLFU · pith_short_16: HY3IRFZLWLFUI3VZ · pith_short_8: HY3IRFZL

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/HY3IRFZLWLFUI3VZTATLR6HM4N \
  | 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: 3e3688972bb2cb446eb99826b8f8ece345d036d94d5035a5c11a0d1c6de4dd20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3751d0557930cb9cf1c44543bcda3301fa3b28157a24464eb27b286d48bfb19d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-28T12:58:55Z",
    "title_canon_sha256": "b5be0682af3793a803ab77fcc1843cf5f82cbd43f342eb9558a17dcdb025b226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6818",
    "kind": "arxiv",
    "version": 3
  }
}