Pith Number

pith:RE57KFD4

pith:2017:RE57KFD4CVMXR4NUMEBSM2SLAT

not attested not anchored not stored refs pending

On The Rank Of Congruent Elliptic Curves

Farzali Izadi, Hamid Reza Abdolmaleki

arxiv:1701.02686 v1 · 2017-01-08 · 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{RE57KFD4CVMXR4NUMEBSM2SLAT}

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	2026-05-18T00:53:03.659272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

893bf5147c155978f1b46103266a4b04ec714ab5a316f84a171b7138d82596fb

Aliases

arxiv: 1701.02686 · arxiv_version: 1701.02686v1 · doi: 10.48550/arxiv.1701.02686 · pith_short_12: RE57KFD4CVMX · pith_short_16: RE57KFD4CVMXR4NU · pith_short_8: RE57KFD4

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/RE57KFD4CVMXR4NUMEBSM2SLAT \
  | 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: 893bf5147c155978f1b46103266a4b04ec714ab5a316f84a171b7138d82596fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53082ab1801712a69e30818c70ea70d79d284cc39ab3e61c8fa6572acbc710c8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-08T18:12:11Z",
    "title_canon_sha256": "0b172b64fa2d0ef25295d2f6b58cb493a171545670e213207f3649b23b6a566c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02686",
    "kind": "arxiv",
    "version": 1
  }
}