Pith Number

pith:DJ3LCYPV

pith:2022:DJ3LCYPVPCHVIAMQYVILWKDMQD

not attested not anchored not stored refs pending

Lower bounds for the first eigenvalue of $p$-Laplacian on K\"ahler manifolds

Kui Wang, Shaoheng Zhang

arxiv:2209.10713 v1 · 2022-09-22 · math.DG · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJ3LCYPVPCHVIAMQYVILWKDMQD}

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	2026-07-05T05:00:05.606010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a76b161f5788f540190c550bb286c80e83335348a6f7f3bab1d07547a041572

Aliases

arxiv: 2209.10713 · arxiv_version: 2209.10713v1 · doi: 10.48550/arxiv.2209.10713 · pith_short_12: DJ3LCYPVPCHV · pith_short_16: DJ3LCYPVPCHVIAMQ · pith_short_8: DJ3LCYPV

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/DJ3LCYPVPCHVIAMQYVILWKDMQD \
  | 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: 1a76b161f5788f540190c550bb286c80e83335348a6f7f3bab1d07547a041572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a83efb9802bdfbb8eca053c6c5372c1b8e940d50d06fd947be35598e8963aeda",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-09-22T00:27:56Z",
    "title_canon_sha256": "603da05dcd7ba3a78481431cdf03e1b6feaff89de7c382abcf0f964aeae56e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.10713",
    "kind": "arxiv",
    "version": 1
  }
}