Pith Number

pith:5H6JLHJ2

pith:2026:5H6JLHJ2EVZSVB4BWISYQBGKI4

not attested not anchored not stored refs pending

Betti and Hodge numbers of solvmanifolds arising from integer polynomials

Adri\'an Andrada, Valentina Chaves

arxiv:2606.06220 v1 · 2026-06-04 · 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{5H6JLHJ2EVZSVB4BWISYQBGKI4}

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	2026-06-05T01:15:38.240050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9fc959d3a25732a8781b2258804ca4713b50011028c00cf8265e59b6dd36939

Aliases

arxiv: 2606.06220 · arxiv_version: 2606.06220v1 · doi: 10.48550/arxiv.2606.06220 · pith_short_12: 5H6JLHJ2EVZS · pith_short_16: 5H6JLHJ2EVZSVB4B · pith_short_8: 5H6JLHJ2

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/5H6JLHJ2EVZSVB4BWISYQBGKI4 \
  | 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: e9fc959d3a25732a8781b2258804ca4713b50011028c00cf8265e59b6dd36939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca72b42cf29cd702ef7185617eb4561a9f0bf9f5072cd5a417809a3446007f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-04T14:32:53Z",
    "title_canon_sha256": "5007175440249a3503b912eba0b021ddd2d0f6d2403665a81f56623b97c0112e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06220",
    "kind": "arxiv",
    "version": 1
  }
}