Pith Number

pith:HPFC3CJ4

pith:2026:HPFC3CJ4FTH6VPA3NDM6CNU4MX

not attested not anchored not stored refs pending

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound

Weiqi Zhang, Yashan Zhang

arxiv:2606.12063 v1 · 2026-06-10 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPFC3CJ4FTH6VPA3NDM6CNU4MX}

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	2026-06-11T01:10:45.696747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bca2d893c2ccfeabc1b68d9e1369c65d3ba60f9284e9be0ee99a1a4f586c9fe

Aliases

arxiv: 2606.12063 · arxiv_version: 2606.12063v1 · doi: 10.48550/arxiv.2606.12063 · pith_short_12: HPFC3CJ4FTH6 · pith_short_16: HPFC3CJ4FTH6VPA3 · pith_short_8: HPFC3CJ4

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/HPFC3CJ4FTH6VPA3NDM6CNU4MX \
  | 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: 3bca2d893c2ccfeabc1b68d9e1369c65d3ba60f9284e9be0ee99a1a4f586c9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9361b03ae09ce7aadd50648a54b0d6077af2340e4d3859c6d7f5b316768c4d1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-10T13:30:51Z",
    "title_canon_sha256": "883b24201ed969e4a1cb872d08c9b95199ac70a1fec4c6276377c1c5b3e9c369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12063",
    "kind": "arxiv",
    "version": 1
  }
}