Pith Number

pith:DRG3SOFE

pith:2025:DRG3SOFEZ5E2JNCX44GDVJT2DH

not attested not anchored not stored refs pending

Principal vector-spread Borel ideals

Antonino Ficarra, Ernesto Lax, Marilena Crupi

arxiv:2507.07022 v2 · 2025-07-09 · 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{DRG3SOFEZ5E2JNCX44GDVJT2DH}

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	2026-07-05T11:45:37.356840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c4db938a4cf49a4b457e70c3aa67a19da87d5e20fb21946b040ea13953e1c37

Aliases

arxiv: 2507.07022 · arxiv_version: 2507.07022v2 · doi: 10.48550/arxiv.2507.07022 · pith_short_12: DRG3SOFEZ5E2 · pith_short_16: DRG3SOFEZ5E2JNCX · pith_short_8: DRG3SOFE

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/DRG3SOFEZ5E2JNCX44GDVJT2DH \
  | 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: 1c4db938a4cf49a4b457e70c3aa67a19da87d5e20fb21946b040ea13953e1c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "399226de3c28e81fed13089214bf753f7d71fdae2c38862820b19a0fba792c06",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-07-09T16:49:12Z",
    "title_canon_sha256": "fb2adcaf5777a789b0ad7fd7d08863ba34212417dd86c99577b13f5a64232f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07022",
    "kind": "arxiv",
    "version": 2
  }
}