Pith Number

pith:HBKZEKAF

pith:2025:HBKZEKAFC3QUI7SFDFYH6FTX4K

not attested not anchored not stored refs pending

Comparison of stability indices of powers of graded ideals

Antonino Ficarra, Emanuele Sgroi

arxiv:2505.15608 v1 · 2025-05-21 · 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{HBKZEKAFC3QUI7SFDFYH6FTX4K}

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	2026-07-05T11:06:48.518372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385592280516e1447e4519707f1677e29e034419eb87d63cf38c699265350f02

Aliases

arxiv: 2505.15608 · arxiv_version: 2505.15608v1 · doi: 10.48550/arxiv.2505.15608 · pith_short_12: HBKZEKAFC3QU · pith_short_16: HBKZEKAFC3QUI7SF · pith_short_8: HBKZEKAF

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/HBKZEKAFC3QUI7SFDFYH6FTX4K \
  | 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: 385592280516e1447e4519707f1677e29e034419eb87d63cf38c699265350f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c72aa8c49340ba67f0c197e0a524841e3e7b6ea636ca5494fc17256436686aa9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-05-21T15:00:57Z",
    "title_canon_sha256": "1b7aa33e8594311483534f60048cd17713de2b59e3a33e31fbaadfcf2d95d684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15608",
    "kind": "arxiv",
    "version": 1
  }
}