Pith Number

pith:6PA7NSAO

pith:2026:6PA7NSAOFV4KBG2YMNQ3QB6PCX

not attested not anchored not stored refs pending

Arbitrarily Many Non-degenerate Local Maxima of First Nonzero Eigenfunctions on Positively Curved Two-spheres

Heng Zhang

arxiv:2606.26419 v1 · 2026-06-24 · 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{6PA7NSAOFV4KBG2YMNQ3QB6PCX}

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	2026-06-26T00:15:40.395603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3c1f6c80e2d78a09b586361b807cf15f040bfaa4e8cf30ac245442443dab13b

Aliases

arxiv: 2606.26419 · arxiv_version: 2606.26419v1 · doi: 10.48550/arxiv.2606.26419 · pith_short_12: 6PA7NSAOFV4K · pith_short_16: 6PA7NSAOFV4KBG2Y · pith_short_8: 6PA7NSAO

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/6PA7NSAOFV4KBG2YMNQ3QB6PCX \
  | 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: f3c1f6c80e2d78a09b586361b807cf15f040bfaa4e8cf30ac245442443dab13b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65a0f404152c2f6c08ea6b1ecb183088fb7c355409c665b4d77ed16d370fab42",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-24T22:20:31Z",
    "title_canon_sha256": "418757f309162592a5eee51a98f90a6058f6a21bd6bfe7103d2f25231ed663b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26419",
    "kind": "arxiv",
    "version": 1
  }
}