Pith Number

pith:NPQ27CWJ

pith:2026:NPQ27CWJYOOKMHFVH627RRCJIJ

not attested not anchored not stored refs pending

The sharp volume gap for K\"ahler manifolds with positive Ricci curvature

Chi Li, Kewei Zhang, Minghao Miao

arxiv:2608.08193 v1 · 2026-08-08 · math.DG · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPQ27CWJYOOKMHFVH627RRCJIJ}

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	2026-08-11T01:21:56.229045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be1af8ac9c39ca61cb53fb5f8c449425cadc506eb72b2e5938257233ff54c2a

Aliases

arxiv: 2608.08193 · arxiv_version: 2608.08193v1 · doi: 10.48550/arxiv.2608.08193 · pith_short_12: NPQ27CWJYOOK · pith_short_16: NPQ27CWJYOOKMHFV · pith_short_8: NPQ27CWJ

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/NPQ27CWJYOOKMHFVH627RRCJIJ \
  | 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: 6be1af8ac9c39ca61cb53fb5f8c449425cadc506eb72b2e5938257233ff54c2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "246cb1b77eb356aeb0ec06f48e2d314e1381d1a4db203b7b7509b09f07329c5b",
    "cross_cats_sorted": [
      "math.AG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-08-08T15:37:47Z",
    "title_canon_sha256": "f30544ef5e724a84a0cbf4258af9a1649a4eec595c5f15bbec9b535b9f1486c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08193",
    "kind": "arxiv",
    "version": 1
  }
}