Pith Number

pith:EUYJ7EPX

pith:2026:EUYJ7EPXBF6WPE7LBFZBSHX74P

not attested not anchored not stored refs pending

The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers

Jiahui Huang, Matthew Satriano

arxiv:2608.07836 v1 · 2026-08-08 · 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{EUYJ7EPXBF6WPE7LBFZBSHX74P}

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	2026-08-11T01:18:38.212096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25309f91f7097d6793eb0972191effe3f52c84bb1b2ffca39a7f918d225aa63a

Aliases

arxiv: 2608.07836 · arxiv_version: 2608.07836v1 · doi: 10.48550/arxiv.2608.07836 · pith_short_12: EUYJ7EPXBF6W · pith_short_16: EUYJ7EPXBF6WPE7L · pith_short_8: EUYJ7EPX

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/EUYJ7EPXBF6WPE7LBFZBSHX74P \
  | 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: 25309f91f7097d6793eb0972191effe3f52c84bb1b2ffca39a7f918d225aa63a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2268ec2c39246026f0f2e433d4807af6fa6445ed9e94ef69b69ac1f5186ea4b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-08T00:44:35Z",
    "title_canon_sha256": "1c51f09e0a21836665de5f8e4f75da1fe360a56d9ac4f15d7c8475605f01c1a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07836",
    "kind": "arxiv",
    "version": 1
  }
}