Pith Number

pith:LHOXN353

pith:2026:LHOXN353SSMRKLZ3YNGHR54BX5

not attested not anchored not stored refs pending

Invariant forms compute the Dolbeault cohomology of complex nilmanifolds

Adriano Tomassini, Keizo Hasegawa, Lorenzo Sillari

arxiv:2607.26786 v1 · 2026-07-29 · 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{LHOXN353SSMRKLZ3YNGHR54BX5}

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	2026-07-30T01:22:18.923894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

59dd76efbb9499152f3bc34c78f781bf6c053d6653195e25cc79d9fefa7f87c7

Aliases

arxiv: 2607.26786 · arxiv_version: 2607.26786v1 · doi: 10.48550/arxiv.2607.26786 · pith_short_12: LHOXN353SSMR · pith_short_16: LHOXN353SSMRKLZ3 · pith_short_8: LHOXN353

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/LHOXN353SSMRKLZ3YNGHR54BX5 \
  | 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: 59dd76efbb9499152f3bc34c78f781bf6c053d6653195e25cc79d9fefa7f87c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c72e1edf3ede20acdf3b77158988ba19bf8f26c19a633a842b491c285dc2c7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-29T11:27:50Z",
    "title_canon_sha256": "6a6eb232967d1bfa14e7b22a0078b48836bb4dd77ffc919a8e919e7ec39f40d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26786",
    "kind": "arxiv",
    "version": 1
  }
}