Pith Number

pith:TWO4JSVY

pith:2026:TWO4JSVY54XIPBQCSB4HF5WLPJ

not attested not anchored not stored refs pending

A Liouville theorem for some asymptotically conical Calabi-Yau manifolds

Abdou Oussama Benabida

arxiv:2606.04213 v1 · 2026-06-02 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWO4JSVY54XIPBQCSB4HF5WLPJ}

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	2026-06-04T01:08:58.846156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9dc4cab8ef2e878602907872f6cb7a535ccdcfe289d36ba942bbf2f5e50a52

Aliases

arxiv: 2606.04213 · arxiv_version: 2606.04213v1 · doi: 10.48550/arxiv.2606.04213 · pith_short_12: TWO4JSVY54XI · pith_short_16: TWO4JSVY54XIPBQC · pith_short_8: TWO4JSVY

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/TWO4JSVY54XIPBQCSB4HF5WLPJ \
  | 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: 9d9dc4cab8ef2e878602907872f6cb7a535ccdcfe289d36ba942bbf2f5e50a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b34e46232f647af1f4b300467394b53766f2af6aedf422f7363d0f397a1d0ffc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-02T20:59:05Z",
    "title_canon_sha256": "0de1157be0d99d1abcdea453bb681ebf99a4cbe14a9365e89449e575898ced3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04213",
    "kind": "arxiv",
    "version": 1
  }
}