Pith Number

pith:JWSZHATZ

pith:2025:JWSZHATZEXMVCECSAT467WYFMX

not attested not anchored not stored refs pending

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids

Emiliano Liwski, Fatemeh Mohammadi, Lisa Vandebrouck

arxiv:2506.07757 v1 · 2025-06-09 · math.CO · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWSZHATZEXMVCECSAT467WYFMX}

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.

Cited by

1 paper in Pith

Copositive Matrices with Ordered Off-Diagonal Entries

Receipt and verification

First computed	2026-07-05T11:18:32.795270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da593827925d951105204f9efdb0565cef1ecf7ecfa6fb898578c546df72220

Aliases

arxiv: 2506.07757 · arxiv_version: 2506.07757v1 · doi: 10.48550/arxiv.2506.07757 · pith_short_12: JWSZHATZEXMV · pith_short_16: JWSZHATZEXMVCECS · pith_short_8: JWSZHATZ

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/JWSZHATZEXMVCECSAT467WYFMX \
  | 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: 4da593827925d951105204f9efdb0565cef1ecf7ecfa6fb898578c546df72220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32aececffdb5db3536f2f4ae02a02fc35b8bdc2f2727158fd7165f90d969a4ab",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-09T13:37:57Z",
    "title_canon_sha256": "6cce65043bdefaabe72e45a6c888972197af6262f97b378db196d627fb9e97fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07757",
    "kind": "arxiv",
    "version": 1
  }
}