Pith Number

pith:RUDMVFIN

pith:2026:RUDMVFINPT7DFVGZ3PDLWSE7AF

not attested not anchored not stored refs pending

A counter-example to Batyrev's conjecture on the non-negativity of stringy Hodge numbers

Jeremy Usatine, Matthew Satriano

arxiv:2607.19184 v1 · 2026-07-21 · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUDMVFINPT7DFVGZ3PDLWSE7AF}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-22T01:24:12.755888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d06ca950d7cfe32d4d9dbc6bb489f0166428add43874062fe8292a136360c07

Aliases

arxiv: 2607.19184 · arxiv_version: 2607.19184v1 · doi: 10.48550/arxiv.2607.19184 · pith_short_12: RUDMVFINPT7D · pith_short_16: RUDMVFINPT7DFVGZ · pith_short_8: RUDMVFIN

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/RUDMVFINPT7DFVGZ3PDLWSE7AF \
  | 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: 8d06ca950d7cfe32d4d9dbc6bb489f0166428add43874062fe8292a136360c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "292621315e8267ac3f13d60075dc2f0516cb7b63bf26f94cfe079bd4948d091d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-21T15:16:49Z",
    "title_canon_sha256": "c8adfecd5a3c23a317aee5a13d1fe70fded1f179adb605d22af8a27595e83641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19184",
    "kind": "arxiv",
    "version": 1
  }
}