Pith Number

pith:X3Q6TTFO

pith:2018:X3Q6TTFOM66N76C3WYME3CJJME

not attested not anchored not stored refs pending

Homogeneous prime elements in normal two-dimensional graded rings

Anurag K. Singh, Kei-ichi Watanabe, Ryo Takahashi

arxiv:1807.02738 v2 · 2018-07-08 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3Q6TTFOM66N76C3WYME3CJJME}

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	2026-05-18T00:08:53.826916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bee1e9ccae67bcdff85bb6184d8929611d86b9c1fd79501e50ff1944cd6953e1

Aliases

arxiv: 1807.02738 · arxiv_version: 1807.02738v2 · doi: 10.48550/arxiv.1807.02738 · pith_short_12: X3Q6TTFOM66N · pith_short_16: X3Q6TTFOM66N76C3 · pith_short_8: X3Q6TTFO

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/X3Q6TTFOM66N76C3WYME3CJJME \
  | 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: bee1e9ccae67bcdff85bb6184d8929611d86b9c1fd79501e50ff1944cd6953e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71c677a839b9bce4a798cb31ec155311c76558d065ec384708ae76189b97ff78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-07-08T01:54:26Z",
    "title_canon_sha256": "6ecc781f5de5f1862dc24b882e2b3bf8692528d481b6a855d44954085b815bfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02738",
    "kind": "arxiv",
    "version": 2
  }
}