Pith Number

pith:VVLO6RPP

pith:2026:VVLO6RPPVXZL3ED76OFBLD7KZA

not attested not anchored not stored refs pending

Eigenvalue Estimates for Schr\"odinger Operators on Ricci Shrinkers

Detang Zhou, Franciele Conrado, Neilha Pinheiro, Xu Cheng

arxiv:2605.23199 v1 · 2026-05-22 · 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{VVLO6RPPVXZL3ED76OFBLD7KZA}

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	2026-05-25T02:01:42.737866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad56ef45efadf2bd907ff38a158feac814521e5ec50b02f110f9fa87ab107286

Aliases

arxiv: 2605.23199 · arxiv_version: 2605.23199v1 · doi: 10.48550/arxiv.2605.23199 · pith_short_12: VVLO6RPPVXZL · pith_short_16: VVLO6RPPVXZL3ED7 · pith_short_8: VVLO6RPP

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/VVLO6RPPVXZL3ED76OFBLD7KZA \
  | 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: ad56ef45efadf2bd907ff38a158feac814521e5ec50b02f110f9fa87ab107286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c23e2734a4ac0d5410001bd25dde63ddb41a41f033744931395956d368953fa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-22T03:29:31Z",
    "title_canon_sha256": "a575912492bc5abb537512fe5b9b5591d7cbef014417f4ba7df086c09243c66f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23199",
    "kind": "arxiv",
    "version": 1
  }
}