Pith Number

pith:SGJRXPSF

pith:2016:SGJRXPSF5KM3MDQNJGN7MPJJAC

not attested not anchored not stored refs pending

An Explicit Manin-Dem'janenko theorem in elliptic curves

Evelina Viada

arxiv:1609.04615 v1 · 2016-09-15 · 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{SGJRXPSF5KM3MDQNJGN7MPJJAC}

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	2026-05-18T01:04:36.168543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91931bbe45ea99b60e0d499bf63d29008c48faa9bcde21e4b9c64afbc948f16e

Aliases

arxiv: 1609.04615 · arxiv_version: 1609.04615v1 · doi: 10.48550/arxiv.1609.04615 · pith_short_12: SGJRXPSF5KM3 · pith_short_16: SGJRXPSF5KM3MDQN · pith_short_8: SGJRXPSF

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/SGJRXPSF5KM3MDQNJGN7MPJJAC \
  | 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: 91931bbe45ea99b60e0d499bf63d29008c48faa9bcde21e4b9c64afbc948f16e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dbdff1f99bb3d490562a9f8d0fc2b4e53b5b0d6220cc562dcef0d8f9b582e4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-15T12:58:10Z",
    "title_canon_sha256": "826382450799fbd069ad262ac8665c7ed82da57fb59b4dcf184285c2de268b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04615",
    "kind": "arxiv",
    "version": 1
  }
}