Pith Number

pith:DKD2CMF7

pith:2012:DKD2CMF7MMDL63C2RR7ZTB7ZKB

not attested not anchored not stored refs pending

Squarefree monomial ideals with constant depth function

J\"urgen Herzog, Marius Vladoiu

arxiv:1209.5890 v1 · 2012-09-26 · 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{DKD2CMF7MMDL63C2RR7ZTB7ZKB}

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	2026-05-18T03:44:46.019440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a87a130bf6306bf6c5a8c7f9987f9504696ba7856ce6973556b4b93bc6cdfd3

Aliases

arxiv: 1209.5890 · arxiv_version: 1209.5890v1 · doi: 10.48550/arxiv.1209.5890 · pith_short_12: DKD2CMF7MMDL · pith_short_16: DKD2CMF7MMDL63C2 · pith_short_8: DKD2CMF7

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/DKD2CMF7MMDL63C2RR7ZTB7ZKB \
  | 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: 1a87a130bf6306bf6c5a8c7f9987f9504696ba7856ce6973556b4b93bc6cdfd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad92680dac1d00573428a58f039b90fed3af322daa3066ef2ae409082a17bf7b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-09-26T10:13:30Z",
    "title_canon_sha256": "023c2077260ed4b4dda74f044d60bde29c29dcbf5146272f82477bf16de5ba7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5890",
    "kind": "arxiv",
    "version": 1
  }
}