Pith Number

pith:Z5UMBZX4

pith:2018:Z5UMBZX4G4BVBIXALYQEPSFGS7

not attested not anchored not stored refs pending

$F$-rationality of Rees algebras

Manoj Kummini, Mitra Koley

arxiv:1803.05382 v2 · 2018-03-14 · 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{Z5UMBZX4G4BVBIXALYQEPSFGS7}

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	2026-05-18T00:04:23.492725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf68c0e6fc370350a2e05e2047c8a697fd3573b3442472dc6743d76b09eac3bf

Aliases

arxiv: 1803.05382 · arxiv_version: 1803.05382v2 · doi: 10.48550/arxiv.1803.05382 · pith_short_12: Z5UMBZX4G4BV · pith_short_16: Z5UMBZX4G4BVBIXA · pith_short_8: Z5UMBZX4

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/Z5UMBZX4G4BVBIXALYQEPSFGS7 \
  | 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: cf68c0e6fc370350a2e05e2047c8a697fd3573b3442472dc6743d76b09eac3bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f479d2dfbcf89f9cefd8cf1aad0477b415be14b855ddb17a0d3757a4952c212f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-03-14T16:24:30Z",
    "title_canon_sha256": "0a0077a88965e73b3fab34d87426215443c62920d98506c3c886a11b57b1888c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05382",
    "kind": "arxiv",
    "version": 2
  }
}