Pith Number

pith:6DZ7PY4Z

pith:2012:6DZ7PY4Z5AZEQBOYK74IJIE3GE

not attested not anchored not stored refs pending

Sequentially Cohen-Macaulay mixed product ideals

Giancarlo Rinaldo

arxiv:1205.0478 v1 · 2012-05-02 · 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{6DZ7PY4Z5AZEQBOYK74IJIE3GE}

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	2026-05-18T03:56:34.441109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f3f7e399e8324805d857f884a09b3129a3498ee3ccda950653755f4dc3d3dd

Aliases

arxiv: 1205.0478 · arxiv_version: 1205.0478v1 · doi: 10.48550/arxiv.1205.0478 · pith_short_12: 6DZ7PY4Z5AZE · pith_short_16: 6DZ7PY4Z5AZEQBOY · pith_short_8: 6DZ7PY4Z

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/6DZ7PY4Z5AZEQBOYK74IJIE3GE \
  | 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: f0f3f7e399e8324805d857f884a09b3129a3498ee3ccda950653755f4dc3d3dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b73fb2d3e18b6ba432ad2f8e31b6dd91058ef8d2a85878a6b1004a07e972c5a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-05-02T16:07:58Z",
    "title_canon_sha256": "642a5644d839bffe2efb68d9692a57654e8f386855382dda67e8d5b3f0325797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0478",
    "kind": "arxiv",
    "version": 1
  }
}