Pith Number

pith:BRHJ7LX2

pith:2008:BRHJ7LX2BLOHIDJAV5HJ2BNV7L

not attested not anchored not stored refs pending

Systems with the integer rounding property in normal monomial subrings

Carlos Renteria-Marquez, Luis A. Dupont, Rafael H. Villarreal

arxiv:0803.1208 v2 · 2008-03-08 · math.AC · 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{BRHJ7LX2BLOHIDJAV5HJ2BNV7L}

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	2026-05-18T04:25:11.737919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c4e9faefa0adc740d20af4e9d05b5fae635a1f6a989e761cd82c4101b5960c5

Aliases

arxiv: 0803.1208 · arxiv_version: 0803.1208v2 · doi: 10.48550/arxiv.0803.1208 · pith_short_12: BRHJ7LX2BLOH · pith_short_16: BRHJ7LX2BLOHIDJA · pith_short_8: BRHJ7LX2

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/BRHJ7LX2BLOHIDJAV5HJ2BNV7L \
  | 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: 0c4e9faefa0adc740d20af4e9d05b5fae635a1f6a989e761cd82c4101b5960c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda8ecb4b528d4c384a054891ad165e9c30d9579154c25eea7fbfca8e81fdf7b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-03-08T02:50:12Z",
    "title_canon_sha256": "cd22de43b7d980691f990eb970c1327e3860a577f8c1da381b12b257f30182db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1208",
    "kind": "arxiv",
    "version": 2
  }
}