Pith Number

pith:67HRRIPH

pith:2024:67HRRIPH3RA2Z3WLYRACZKBK52

not attested not anchored not stored refs pending

On the strong persistence property and normally torsion-freeness of square-free monomial ideals

Alain Bretto, Jonathan Toledo, Mehrdad Nasernejad

arxiv:2411.14227 v1 · 2024-11-21 · 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{67HRRIPH3RA2Z3WLYRACZKBK52}

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	2026-07-05T09:38:43.700593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7cf18a1e7dc41aceecbc4402ca82aee86e56f79d7070626067ebd03c9979e79

Aliases

arxiv: 2411.14227 · arxiv_version: 2411.14227v1 · doi: 10.48550/arxiv.2411.14227 · pith_short_12: 67HRRIPH3RA2 · pith_short_16: 67HRRIPH3RA2Z3WL · pith_short_8: 67HRRIPH

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/67HRRIPH3RA2Z3WLYRACZKBK52 \
  | 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: f7cf18a1e7dc41aceecbc4402ca82aee86e56f79d7070626067ebd03c9979e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4ebbf0f90c76f84d9042dfd6566a02576091a2a43d241ed957c4ccdf29452b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-11-21T15:37:41Z",
    "title_canon_sha256": "f419b7fc5030b89e7c626e2d1149e2d7197bf2aedf093b7b08f11719c6975f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14227",
    "kind": "arxiv",
    "version": 1
  }
}