Pith Number

pith:2RHWQL2U

pith:2016:2RHWQL2UEPYGPH37LEMDHFVAZM

not attested not anchored not stored refs pending

A Quantitative Oppenheim Theorem for generic ternary quadratic forms

Anish Ghosh, Dubi Kelmer

arxiv:1606.02388 v1 · 2016-06-08 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RHWQL2UEPYGPH37LEMDHFVAZM}

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	2026-05-18T01:12:41.456705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d44f682f5423f0679f7f59183396a0cb0d3049ec66d1760021621bb138df4d76

Aliases

arxiv: 1606.02388 · arxiv_version: 1606.02388v1 · doi: 10.48550/arxiv.1606.02388 · pith_short_12: 2RHWQL2UEPYG · pith_short_16: 2RHWQL2UEPYGPH37 · pith_short_8: 2RHWQL2U

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/2RHWQL2UEPYGPH37LEMDHFVAZM \
  | 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: d44f682f5423f0679f7f59183396a0cb0d3049ec66d1760021621bb138df4d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a0b1a15fa91efd8181e848fa5dab8a6ed546164bbe4b9212502f76291c0e53",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-08T03:53:10Z",
    "title_canon_sha256": "72b63511a4db48cae7a0bfd30a6d73e11d6a8662212f9150b324389c32957ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02388",
    "kind": "arxiv",
    "version": 1
  }
}