Pith Number

pith:3E6Y5T2Y

pith:2012:3E6Y5T2YJNDYU7JRE2QTY3U6MW

not attested not anchored not stored refs pending

Depth of some square free monomial ideals

Andrei Zarojanu, Dorin Popescu

arxiv:1211.0842 v1 · 2012-11-05 · 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{3E6Y5T2YJNDYU7JRE2QTY3U6MW}

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	2026-05-18T03:41:31.382756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93d8ecf584b478a7d3126a13c6e9e65b03fb66589487f6a51b23eccf374ef9b

Aliases

arxiv: 1211.0842 · arxiv_version: 1211.0842v1 · doi: 10.48550/arxiv.1211.0842 · pith_short_12: 3E6Y5T2YJNDY · pith_short_16: 3E6Y5T2YJNDYU7JR · pith_short_8: 3E6Y5T2Y

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/3E6Y5T2YJNDYU7JRE2QTY3U6MW \
  | 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: d93d8ecf584b478a7d3126a13c6e9e65b03fb66589487f6a51b23eccf374ef9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab65e91d8950be2d9cd5977cb4f98990857fffd93ba30b224e07b41d29e95920",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-05T12:24:05Z",
    "title_canon_sha256": "baa4c6622c34887840d57acc8c7df842fd1bae09dd8a7c27ddbdb00b23d87216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0842",
    "kind": "arxiv",
    "version": 1
  }
}