Pith Number

pith:3YHCDINY

pith:2026:3YHCDINY23W2ZKOH6Q6CIXEJ4E

not attested not anchored not stored refs pending

The size of $2$-Selmer groups for the $\frac{\pi}{3}$-congruent number problem

Aprameyo Pal, Kushal Bhowmick

arxiv:2602.08912 v2 · 2026-02-09 · 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{3YHCDINY23W2ZKOH6Q6CIXEJ4E}

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	2026-07-29T01:25:34.511330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de0e21a1b8d6edaca9c7f43c245c89e1244cf607d7582526f3c5bb57f5751476

Aliases

arxiv: 2602.08912 · arxiv_version: 2602.08912v2 · doi: 10.48550/arxiv.2602.08912 · pith_short_12: 3YHCDINY23W2 · pith_short_16: 3YHCDINY23W2ZKOH · pith_short_8: 3YHCDINY

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/3YHCDINY23W2ZKOH6Q6CIXEJ4E \
  | 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: de0e21a1b8d6edaca9c7f43c245c89e1244cf607d7582526f3c5bb57f5751476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b208e60de5dbc6e25c9278ff900f8d70b235e0fa310db7fcd48c97dc3b6294e1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-02-09T17:13:21Z",
    "title_canon_sha256": "9f393655858398832378c869148d6a06039c21817eee07dc12f1de707c3a1436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.08912",
    "kind": "arxiv",
    "version": 2
  }
}