Pith Number

pith:X2KJNGVP

pith:2015:X2KJNGVP7C4LXC6IFNGT67HBLI

not attested not anchored not stored refs pending

On some higher degree sign-definite multivariate polynomials associated with definite quadratic forms

Ruslan Sharipov

arxiv:1507.05056 v1 · 2015-07-17 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2KJNGVP7C4LXC6IFNGT67HBLI}

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	2026-05-18T01:36:42.017332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be94969aaff8b8bb8bc82b4d3f7ce15a2191ef94c3f4878e955d7d2847ad519c

Aliases

arxiv: 1507.05056 · arxiv_version: 1507.05056v1 · doi: 10.48550/arxiv.1507.05056 · pith_short_12: X2KJNGVP7C4L · pith_short_16: X2KJNGVP7C4LXC6I · pith_short_8: X2KJNGVP

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/X2KJNGVP7C4LXC6IFNGT67HBLI \
  | 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: be94969aaff8b8bb8bc82b4d3f7ce15a2191ef94c3f4878e955d7d2847ad519c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e03e102389d462a890a054b69531a1ab401d2bf595a74ebca606b1a5afef571e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-17T17:53:57Z",
    "title_canon_sha256": "b681c6b81474bcd8c4d15b174a3410f1148d11d2aa06846d8794eab3f6cbadb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05056",
    "kind": "arxiv",
    "version": 1
  }
}