Pith Number

pith:4XDYFYBU

pith:2015:4XDYFYBU7TQQ3LBS75TDSG6LZK

not attested not anchored not stored refs pending

Dimension filtration, sequential Cohen--Macaulayness and a new polynomial invariant of graded algebras

Afshin Goodarzi

arxiv:1504.04328 v1 · 2015-04-16 · 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{4XDYFYBU7TQQ3LBS75TDSG6LZK}

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	2026-05-18T02:18:33.438574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c782e034fce10dac32ff66391bcbcaa1b7bf33bacf97a5b5b1fbaca261dd67

Aliases

arxiv: 1504.04328 · arxiv_version: 1504.04328v1 · doi: 10.48550/arxiv.1504.04328 · pith_short_12: 4XDYFYBU7TQQ · pith_short_16: 4XDYFYBU7TQQ3LBS · pith_short_8: 4XDYFYBU

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/4XDYFYBU7TQQ3LBS75TDSG6LZK \
  | 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: e5c782e034fce10dac32ff66391bcbcaa1b7bf33bacf97a5b5b1fbaca261dd67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c041f17db32b8070aa29c73b48c92a478ab17c2fd1862972087616187fbc083",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-04-16T18:27:20Z",
    "title_canon_sha256": "6dc8447e28b8b46e46c0e7940c167c71e6393ff270379401f67c0834d122567c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04328",
    "kind": "arxiv",
    "version": 1
  }
}