Pith Number

pith:SKHD6PXY

pith:2026:SKHD6PXY7E7MD2FXZVMPI5K6EB

not attested not anchored not stored refs pending

On the Divisorial Geometry of Volume Asymptotics of Sublevel Sets

Nivaldo Grulha

arxiv:2606.30171 v1 · 2026-06-29 · 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{SKHD6PXY7E7MD2FXZVMPI5K6EB}

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	2026-06-30T02:17:52.487882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

928e3f3ef8f93ec1e8b7cd58f4755e2049bca86086ff87604de6a6779b860b40

Aliases

arxiv: 2606.30171 · arxiv_version: 2606.30171v1 · doi: 10.48550/arxiv.2606.30171 · pith_short_12: SKHD6PXY7E7M · pith_short_16: SKHD6PXY7E7MD2FX · pith_short_8: SKHD6PXY

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/SKHD6PXY7E7MD2FXZVMPI5K6EB \
  | 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: 928e3f3ef8f93ec1e8b7cd58f4755e2049bca86086ff87604de6a6779b860b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11befe3314d12b2dc51bd67d301b3253db65e0287e13123f662b5077319accde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-29T11:47:36Z",
    "title_canon_sha256": "024555b9f821b9cf546566f383d30a5e4f1490c7ec31a3f6b0204796eb3b34c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30171",
    "kind": "arxiv",
    "version": 1
  }
}