Pith Number

pith:6VHMKFU4

pith:2024:6VHMKFU4WS72AP247WT3DLUPXC

not attested not anchored not stored refs pending

Hodge symmetry and Lefschetz theorems for singular varieties

Mihnea Popa, Sung Gi Park

arxiv:2410.15638 v3 · 2024-10-21 · 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{6VHMKFU4WS72AP247WT3DLUPXC}

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

2 papers in Pith

Differential Forms and Hodge Structures on Singular Varieties

Higher F-rational singularities

Receipt and verification

First computed	2026-07-05T11:59:08.077027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f54ec5169cb4bfa03f5cfda7b1ae8fb899c99db5f1cccf130dd528a4d6d5688e

Aliases

arxiv: 2410.15638 · arxiv_version: 2410.15638v3 · doi: 10.48550/arxiv.2410.15638 · pith_short_12: 6VHMKFU4WS72 · pith_short_16: 6VHMKFU4WS72AP24 · pith_short_8: 6VHMKFU4

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/6VHMKFU4WS72AP247WT3DLUPXC \
  | 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: f54ec5169cb4bfa03f5cfda7b1ae8fb899c99db5f1cccf130dd528a4d6d5688e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ce3d54ee9887a74238569014b4c123037f4548123544f504784cff2983d8c60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-10-21T04:56:55Z",
    "title_canon_sha256": "47113c831bd4bf0aeffd1d8bbfb3f292eef37cae52c55386b64be9cbab611854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.15638",
    "kind": "arxiv",
    "version": 3
  }
}