Pith Number

pith:H55L5XNY

pith:2016:H55L5XNYJSMBATXWKXQRWUUBNG

not attested not anchored not stored refs pending

On the Representation of Primes by Binary Quadratic Forms, and Elliptic Curves

Federico Pintore, Michele Elia

arxiv:1604.06586 v1 · 2016-04-22 · 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{H55L5XNYJSMBATXWKXQRWUUBNG}

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	2026-05-18T01:16:28.702361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f7abeddb84c98104ef655e11b5281699ecc8e9cab821bac107b0cba59c7c6aa

Aliases

arxiv: 1604.06586 · arxiv_version: 1604.06586v1 · doi: 10.48550/arxiv.1604.06586 · pith_short_12: H55L5XNYJSMB · pith_short_16: H55L5XNYJSMBATXW · pith_short_8: H55L5XNY

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/H55L5XNYJSMBATXWKXQRWUUBNG \
  | 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: 3f7abeddb84c98104ef655e11b5281699ecc8e9cab821bac107b0cba59c7c6aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2831c9bbae09e473b29241abec2cdf35fd08ef62179917015fb982e3680704",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-22T09:34:27Z",
    "title_canon_sha256": "0a03b72f03473f4ebb898fb96ad19bd8eca6a6998b57d49f24b083990da8e416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06586",
    "kind": "arxiv",
    "version": 1
  }
}