Pith Number

pith:GT6SEY7Y

pith:2017:GT6SEY7YQRWKZMGITU36HCYFCT

not attested not anchored not stored refs pending

Twists of Elliptic Curves

Jaap Top, Max Kronberg, Muhammad Afzal Soomro

arxiv:1707.02893 v3 · 2017-07-10 · 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{GT6SEY7YQRWKZMGITU36HCYFCT}

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	2026-05-18T00:32:01.025482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34fd2263f8846cacb0c89d37e38b0514d1b6ee40163925b7e9753f0d0595fc66

Aliases

arxiv: 1707.02893 · arxiv_version: 1707.02893v3 · doi: 10.48550/arxiv.1707.02893 · pith_short_12: GT6SEY7YQRWK · pith_short_16: GT6SEY7YQRWKZMGI · pith_short_8: GT6SEY7Y

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/GT6SEY7YQRWKZMGITU36HCYFCT \
  | 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: 34fd2263f8846cacb0c89d37e38b0514d1b6ee40163925b7e9753f0d0595fc66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db3396ae444f4609e28169c362beb85385e8d274b6d82075fe73e369da2a295",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-10T15:00:16Z",
    "title_canon_sha256": "dcb2c59f72632741213e39eb5984ed2aa4ad7a4282e65fcdfc70932c21c9aabb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02893",
    "kind": "arxiv",
    "version": 3
  }
}