Pith Number

pith:R7DHG3DT

pith:2025:R7DHG3DTA5PRAQ276U7KBVNB2U

not attested not anchored not stored refs pending

A $p$-Converse theorem for Real Quadratic Fields

Aprameyo Pal, Guhan Venkat, Muskan Bansal, Somnath Jha

arxiv:2504.21799 v3 · 2025-04-30 · 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{R7DHG3DTA5PRAQ276U7KBVNB2U}

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	2026-06-24T01:14:20.160278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc6736c73075f10435ff53ea0d5a1d53beab61947fc88c172fef21375632427

Aliases

arxiv: 2504.21799 · arxiv_version: 2504.21799v3 · doi: 10.48550/arxiv.2504.21799 · pith_short_12: R7DHG3DTA5PR · pith_short_16: R7DHG3DTA5PRAQ27 · pith_short_8: R7DHG3DT

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/R7DHG3DTA5PRAQ276U7KBVNB2U \
  | 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: 8fc6736c73075f10435ff53ea0d5a1d53beab61947fc88c172fef21375632427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2266c70df5d08a147722db0c14c53fffaffd45b6d70b33398e81d8eb9fa4fd94",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-30T16:56:10Z",
    "title_canon_sha256": "b28e1ed2bb128f20687a8206c1d0ba0dbc0dc95646243ce886e10bd779e47faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21799",
    "kind": "arxiv",
    "version": 3
  }
}