Pith Number

pith:F5OAJYQK

pith:2015:F5OAJYQKJHKZSMIXDBNV55BIEU

not attested not anchored not stored refs pending

Symmetric Powers of Symmetric Bilinear Forms, Homogeneous Orthogonal Polynomials on the Sphere and an Application to Compact Hyperk\"ahler Manifolds

Simon Kapfer

arxiv:1507.00157 v2 · 2015-07-01 · math.AG · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5OAJYQKJHKZSMIXDBNV55BIEU}

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	2026-05-18T01:22:48.328533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5c04e20a49d5993117185b5ef4282518b3dc54107d90cff410d9bccc169077

Aliases

arxiv: 1507.00157 · arxiv_version: 1507.00157v2 · doi: 10.48550/arxiv.1507.00157 · pith_short_12: F5OAJYQKJHKZ · pith_short_16: F5OAJYQKJHKZSMIX · pith_short_8: F5OAJYQK

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/F5OAJYQKJHKZSMIXDBNV55BIEU \
  | 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: 2f5c04e20a49d5993117185b5ef4282518b3dc54107d90cff410d9bccc169077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64643b44b422b1e92e2e063e5308390123894a272d15e87a5149167f7201f8b4",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-01T09:14:49Z",
    "title_canon_sha256": "9abb7e85e935ecffebf088dcd78b15471469237737178e326c8c5b6e83aba5cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00157",
    "kind": "arxiv",
    "version": 2
  }
}