Pith Number

pith:CIOJ7ZE7

pith:2023:CIOJ7ZE7GKKZZV2X5RKJGRYVLN

not attested not anchored not stored refs pending

Rigidity of Graded Integral Domains and of their Veronese Subrings

Daniel Daigle

arxiv:2308.05066 v3 · 2023-08-09 · math.AC · 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{CIOJ7ZE7GKKZZV2X5RKJGRYVLN}

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	2026-06-09T02:06:58.474808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121c9fe49f32959cd757ec549347155b503245e5757abed96e65445818dd3afa

Aliases

arxiv: 2308.05066 · arxiv_version: 2308.05066v3 · doi: 10.48550/arxiv.2308.05066 · pith_short_12: CIOJ7ZE7GKKZ · pith_short_16: CIOJ7ZE7GKKZZV2X · pith_short_8: CIOJ7ZE7

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/CIOJ7ZE7GKKZZV2X5RKJGRYVLN \
  | 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: 121c9fe49f32959cd757ec549347155b503245e5757abed96e65445818dd3afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8caa7625568196fbd5e443bba9809cddfd8b816bc570f9dbd059e62aa902202",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-08-09T16:52:12Z",
    "title_canon_sha256": "fbda14f2598e3fdb7d891decd7840993e124e374cfa12b79debb56f283783b03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.05066",
    "kind": "arxiv",
    "version": 3
  }
}