Pith Number

pith:IMDOQ5LB

pith:2016:IMDOQ5LBNDX52WZPW56WVOPJB7

not attested not anchored not stored refs pending

On some remarkable congruences between two elliptic curves

Nicolas Billerey

arxiv:1605.09205 v2 · 2016-05-17 · 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{IMDOQ5LBNDX52WZPW56WVOPJB7}

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	2026-05-18T01:13:10.784778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4306e8756168efdd5b2fb77d6ab9e90fcc85d76c1a80f5857583e1887237fa28

Aliases

arxiv: 1605.09205 · arxiv_version: 1605.09205v2 · doi: 10.48550/arxiv.1605.09205 · pith_short_12: IMDOQ5LBNDX5 · pith_short_16: IMDOQ5LBNDX52WZP · pith_short_8: IMDOQ5LB

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/IMDOQ5LBNDX52WZPW56WVOPJB7 \
  | 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: 4306e8756168efdd5b2fb77d6ab9e90fcc85d76c1a80f5857583e1887237fa28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4675deaf4c34f68aa7639d06ba58299139f472824b7bac76909a698d52b167c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-17T07:36:51Z",
    "title_canon_sha256": "4c38f04738c7f166ccf7376dfafd502e246b15699a0b0a941205304755df608a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09205",
    "kind": "arxiv",
    "version": 2
  }
}