Pith Number

pith:C7NUS3BR

pith:2016:C7NUS3BRXVZKGZUVBSEWHSZTWQ

not attested not anchored not stored refs pending

Partial result of Yau's Conjecture of the first eigenvalue in unit sphere $\mathbb{S}^{n+1}(1)$

Zhongyang Sun

arxiv:1607.08306 v2 · 2016-07-28 · 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{C7NUS3BRXVZKGZUVBSEWHSZTWQ}

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	2026-05-18T01:10:14.027371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17db496c31bd72a366950c8963cb33b4105e6c79f200c51dfed8394763397dea

Aliases

arxiv: 1607.08306 · arxiv_version: 1607.08306v2 · doi: 10.48550/arxiv.1607.08306 · pith_short_12: C7NUS3BRXVZK · pith_short_16: C7NUS3BRXVZKGZUV · pith_short_8: C7NUS3BR

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/C7NUS3BRXVZKGZUVBSEWHSZTWQ \
  | 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: 17db496c31bd72a366950c8963cb33b4105e6c79f200c51dfed8394763397dea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb03534c2389f731a54084afa9ad90b1a1c800c0af180e397f98404de276998d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-28T03:39:27Z",
    "title_canon_sha256": "9b1e494471f6b65ff1a8fe7578d60373bca2785f63ed18b8357dbad7755e40ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08306",
    "kind": "arxiv",
    "version": 2
  }
}