Pith Number

pith:6ZARKV7J

pith:2012:6ZARKV7J3YUUOAIH7ZQ6DYTLBT

not attested not anchored not stored refs pending

Primitive Forms for Affine Cusp Polynomials

Atsushi Takahashi, Yoshihisa Ishibashi, Yuuki Shiraishi

arxiv:1211.1128 v1 · 2012-11-06 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZARKV7J3YUUOAIH7ZQ6DYTLBT}

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	2026-05-18T03:41:22.245702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6411557e9de29470107fe61e1e26b0cff9aa96f7073564015215973117f2c76

Aliases

arxiv: 1211.1128 · arxiv_version: 1211.1128v1 · doi: 10.48550/arxiv.1211.1128 · pith_short_12: 6ZARKV7J3YUU · pith_short_16: 6ZARKV7J3YUUOAIH · pith_short_8: 6ZARKV7J

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/6ZARKV7J3YUUOAIH7ZQ6DYTLBT \
  | 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: f6411557e9de29470107fe61e1e26b0cff9aa96f7073564015215973117f2c76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6bfa6547a26c311ccc48ca10d35e713b23e283df2aa9b84995cb7a0af232117",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-06T07:27:01Z",
    "title_canon_sha256": "3ebad6d61ab5bf6ac0ac8ec0084be5af5709ffcb3614dd5bd9dcafd89e7c51ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1128",
    "kind": "arxiv",
    "version": 1
  }
}