Pith Number

pith:MITZ6GM7

pith:2025:MITZ6GM737EBGEMFUCETEJ6AZA

not attested not anchored not stored refs pending

Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties

Hyunsuk Kim, Sridhar Venkatesh

arxiv:2506.03026 v1 · 2025-06-03 · math.AG · 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{MITZ6GM737EBGEMFUCETEJ6AZA}

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	2026-07-05T11:27:47.685639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62279f199fdfc8131185a0893227c0c81f54a9ba651474621125d6d7e3f07212

Aliases

arxiv: 2506.03026 · arxiv_version: 2506.03026v1 · doi: 10.48550/arxiv.2506.03026 · pith_short_12: MITZ6GM737EB · pith_short_16: MITZ6GM737EBGEMF · pith_short_8: MITZ6GM7

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/MITZ6GM737EBGEMFUCETEJ6AZA \
  | 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: 62279f199fdfc8131185a0893227c0c81f54a9ba651474621125d6d7e3f07212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0830e268c28c0263ec28d891d5888ef9ef06130cbb116b3867a7598b806ca11",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-03T16:00:54Z",
    "title_canon_sha256": "6d65e46543be02594e1a48fe884bbb9b03cefcdc3b5a926d898399a3baa46ff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03026",
    "kind": "arxiv",
    "version": 1
  }
}