Pith Number

pith:CYVFGHQ4

pith:2019:CYVFGHQ4CKUS5OFDKHGODBAAIO

not attested not anchored not stored refs pending

Depth of powers of squarefree monomial ideals

Huy T\`ai H\`a, Louiza Fouli, Susan Morey

arxiv:1907.00401 v2 · 2019-06-30 · 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{CYVFGHQ4CKUS5OFDKHGODBAAIO}

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	2026-05-17T23:41:17.037280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162a531e1c12a92eb8a351cce1840043857631961a370facee5c5502dc25b9d7

Aliases

arxiv: 1907.00401 · arxiv_version: 1907.00401v2 · doi: 10.48550/arxiv.1907.00401 · pith_short_12: CYVFGHQ4CKUS · pith_short_16: CYVFGHQ4CKUS5OFD · pith_short_8: CYVFGHQ4

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/CYVFGHQ4CKUS5OFDKHGODBAAIO \
  | 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: 162a531e1c12a92eb8a351cce1840043857631961a370facee5c5502dc25b9d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e18e24c9c9f3396865a676c5d6759e72c708a6741e79201c04693dc0c7cd97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-30T15:51:44Z",
    "title_canon_sha256": "008046f54fcf319a38ef8060ee536e81110f506cca8ff59e63b11d8809e4b4ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00401",
    "kind": "arxiv",
    "version": 2
  }
}