Pith Number

pith:GDZBT3Y7

pith:2025:GDZBT3Y73EDUKNJHAVZREZFRJX

not attested not anchored not stored refs pending

First eigenvalue estimates on complete K\"ahler manifolds

Mingwei Wang, Xiaokui Yang

arxiv:2507.09203 v1 · 2025-07-12 · 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{GDZBT3Y73EDUKNJHAVZREZFRJX}

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	2026-07-05T11:36:05.425616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f219ef1fd90745352705731264b14df8119106b92610ef92c280cc4bda9420

Aliases

arxiv: 2507.09203 · arxiv_version: 2507.09203v1 · doi: 10.48550/arxiv.2507.09203 · pith_short_12: GDZBT3Y73EDU · pith_short_16: GDZBT3Y73EDUKNJH · pith_short_8: GDZBT3Y7

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/GDZBT3Y73EDUKNJHAVZREZFRJX \
  | 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: 30f219ef1fd90745352705731264b14df8119106b92610ef92c280cc4bda9420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5961b018363efdc5f072b697462a940399a7d5f4d5ffb7e8bcf00e2c8c0818d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-12T08:49:29Z",
    "title_canon_sha256": "fbae78c08f7e8eb8bbead642fbed262dcec7d02c5175f7db3c18906228e828f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09203",
    "kind": "arxiv",
    "version": 1
  }
}