Pith Number

pith:LMLRYXPX

pith:2025:LMLRYXPXX4UZEHAYZGJOIRUA45

not attested not anchored not stored refs pending

Discreteness of volumes of divisors on Calabi-Yau type varieties

Junpeng Jiao

arxiv:2508.05082 v1 · 2025-08-07 · 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{LMLRYXPXX4UZEHAYZGJOIRUA45}

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	2026-07-05T11:50:06.683939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b171c5df7bf29921c18c992e44680e7659ac03004325d8ac931a65483294631

Aliases

arxiv: 2508.05082 · arxiv_version: 2508.05082v1 · doi: 10.48550/arxiv.2508.05082 · pith_short_12: LMLRYXPXX4UZ · pith_short_16: LMLRYXPXX4UZEHAY · pith_short_8: LMLRYXPX

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/LMLRYXPXX4UZEHAYZGJOIRUA45 \
  | 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: 5b171c5df7bf29921c18c992e44680e7659ac03004325d8ac931a65483294631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e46d3550c7a3d6c0b051e6d20c9e9edc8231af7ea5370c34dbe84fda0e87535",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-07T07:05:53Z",
    "title_canon_sha256": "7d27b9e01c24415a36b9a162ad2ec2bb648f7965db70bbfeb068a6e1e87ec85a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.05082",
    "kind": "arxiv",
    "version": 1
  }
}