Pith Number

pith:CFDHM3BC

pith:2014:CFDHM3BCKEXJ5EFAU7J6CPYOFK

not attested not anchored not stored refs pending

On $\theta$-congruent numbers on real quadratic number fields

Ali S. Janfada, Sajad Salami

arxiv:1412.3258 v2 · 2014-12-10 · 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{CFDHM3BCKEXJ5EFAU7J6CPYOFK}

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	2026-05-18T02:31:29.648715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1146766c22512e9e90a0a7d3e13f0e2aaaa3888332993b5bb136f0d411e7439f

Aliases

arxiv: 1412.3258 · arxiv_version: 1412.3258v2 · doi: 10.48550/arxiv.1412.3258 · pith_short_12: CFDHM3BCKEXJ · pith_short_16: CFDHM3BCKEXJ5EFA · pith_short_8: CFDHM3BC

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/CFDHM3BCKEXJ5EFAU7J6CPYOFK \
  | 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: 1146766c22512e9e90a0a7d3e13f0e2aaaa3888332993b5bb136f0d411e7439f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5899682197c6ee241b588454aa3b447048819952055647e6f1523b9cf6329f1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-10T11:10:21Z",
    "title_canon_sha256": "2041903c92232b7626acd6ec23997df499d6d0a634ba8488d2dcd84f95bba55a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3258",
    "kind": "arxiv",
    "version": 2
  }
}