Pith Number

pith:U6IENOZ3

pith:2011:U6IENOZ33ZKZ77EHLHMYXA5REO

not attested not anchored not stored refs pending

On graphs related to co-maximal ideals of a commutative ring

Dancheng Lu, Houyi Yu, Meng Ye, Tongsuo Wu

arxiv:1106.0072 v1 · 2011-06-01 · 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{U6IENOZ33ZKZ77EHLHMYXA5REO}

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	2026-05-18T00:17:55.811583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a79046bb3bde559ffc8759d98b83b12397b9b0c722b26942b3b6ac1930c89d5d

Aliases

arxiv: 1106.0072 · arxiv_version: 1106.0072v1 · doi: 10.48550/arxiv.1106.0072 · pith_short_12: U6IENOZ33ZKZ · pith_short_16: U6IENOZ33ZKZ77EH · pith_short_8: U6IENOZ3

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/U6IENOZ33ZKZ77EHLHMYXA5REO \
  | 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: a79046bb3bde559ffc8759d98b83b12397b9b0c722b26942b3b6ac1930c89d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d49e38499320060d05743364aa77fd20a3e649f4009b255ebd67b9eb47845366",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-01T01:16:12Z",
    "title_canon_sha256": "9ea3dc1c595da9d7ef587414358b9a57992ef32cd7e9f0e21ba413c87b813f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0072",
    "kind": "arxiv",
    "version": 1
  }
}