Pith Number

pith:SWP2SSBX

pith:2017:SWP2SSBXBDMLZSVV3Q2RFCWMCH

not attested not anchored not stored refs pending

An elementary proof of the group law for elliptic curves

Stefan Friedl

arxiv:1710.00214 v1 · 2017-09-30 · math.AG · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWP2SSBXBDMLZSVV3Q2RFCWMCH}

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	2026-05-18T00:33:55.518648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959fa9483708d8bccab5dc35128acc11e52d8ad5c1de3dbe5dc93659714ffcd3

Aliases

arxiv: 1710.00214 · arxiv_version: 1710.00214v1 · doi: 10.48550/arxiv.1710.00214 · pith_short_12: SWP2SSBXBDML · pith_short_16: SWP2SSBXBDMLZSVV · pith_short_8: SWP2SSBX

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/SWP2SSBXBDMLZSVV3Q2RFCWMCH \
  | 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: 959fa9483708d8bccab5dc35128acc11e52d8ad5c1de3dbe5dc93659714ffcd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560e6c4fec36112fcea0a731f03cbf26f68263c9cade48b1ad50a074319395b2",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-30T15:28:06Z",
    "title_canon_sha256": "6976665d1dfa7a4f50eac5a525c580d57a9b5b9a2b33a5d168e19d00a208f536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00214",
    "kind": "arxiv",
    "version": 1
  }
}