Pith Number

pith:6Z6C4FCG

pith:2011:6Z6C4FCGKSIBUT3TKUNWZVDAX6

not attested not anchored not stored refs pending

On the high rank $\pi/3$ and $2\pi/3$-congruent number elliptic curves

Ali S. Janfada, Andrej Dujella, Juan C. Peral, Sajad Salami

arxiv:1102.4291 v2 · 2011-02-21 · 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{6Z6C4FCGKSIBUT3TKUNWZVDAX6}

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	2026-05-18T02:31:27.796278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67c2e144654901a4f73551b6cd460bf9644fa67d2f34ef68a1a102ccd34d8b3

Aliases

arxiv: 1102.4291 · arxiv_version: 1102.4291v2 · doi: 10.48550/arxiv.1102.4291 · pith_short_12: 6Z6C4FCGKSIB · pith_short_16: 6Z6C4FCGKSIBUT3T · pith_short_8: 6Z6C4FCG

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/6Z6C4FCGKSIBUT3TKUNWZVDAX6 \
  | 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: f67c2e144654901a4f73551b6cd460bf9644fa67d2f34ef68a1a102ccd34d8b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de5834237574973e69d7bab5943b7d1fa2a5dd7d54c754824a410f6b28f0f9d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-21T17:54:33Z",
    "title_canon_sha256": "2c1ab0fa2469e12adb8cd76d131a482d193680c34f5146374213e6a8a83b8c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4291",
    "kind": "arxiv",
    "version": 2
  }
}