Pith Number

pith:W2COIPO5

pith:2025:W2COIPO5RVB6ZFN3OKENPCGM7U

not attested not anchored not stored refs pending

The $\mathcal{D}$-Geometric Hilbert Scheme -- Part I: Involutivity and Stability

Artan Sheshmani, Jacob Kryczka

arxiv:2507.07937 v1 · 2025-07-10 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2COIPO5RVB6ZFN3OKENPCGM7U}

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	2026-07-05T11:35:07.287547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b684e43ddd8d43ec95bb7288d788ccfd03ed2743bb9605e33f309735e012341c

Aliases

arxiv: 2507.07937 · arxiv_version: 2507.07937v1 · doi: 10.48550/arxiv.2507.07937 · pith_short_12: W2COIPO5RVB6 · pith_short_16: W2COIPO5RVB6ZFN3 · pith_short_8: W2COIPO5

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/W2COIPO5RVB6ZFN3OKENPCGM7U \
  | 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: b684e43ddd8d43ec95bb7288d788ccfd03ed2743bb9605e33f309735e012341c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9196a1a10fdfdd8ee56e0560fa90fdae660a388a8c45fa7271c5819a2ca4cd19",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-10T17:19:57Z",
    "title_canon_sha256": "12d1bc5d2df7e207cc0ec9971f1e0362a725a9cc37e51f9a5a711c421d7cbcda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07937",
    "kind": "arxiv",
    "version": 1
  }
}