Pith Number

pith:J3ZNFQZ2

pith:2015:J3ZNFQZ2TYVL6XNIE57AMCGSQT

not attested not anchored not stored refs pending

On the CR Analogue of Reilly Formula and Yau Eigenvalue Conjecture

Chih-Wei Chen, Chin-Tung Wu, Shu-Cheng Chang

arxiv:1503.07639 v2 · 2015-03-26 · 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{J3ZNFQZ2TYVL6XNIE57AMCGSQT}

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	2026-05-18T02:00:02.046198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef2d2c33a9e2abf5da8277e0608d284e157546a2aafa46444877acd2ee1dbab

Aliases

arxiv: 1503.07639 · arxiv_version: 1503.07639v2 · doi: 10.48550/arxiv.1503.07639 · pith_short_12: J3ZNFQZ2TYVL · pith_short_16: J3ZNFQZ2TYVL6XNI · pith_short_8: J3ZNFQZ2

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/J3ZNFQZ2TYVL6XNIE57AMCGSQT \
  | 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: 4ef2d2c33a9e2abf5da8277e0608d284e157546a2aafa46444877acd2ee1dbab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da742dae33909971df50defd4f0d5fb08faeb5b3eac7a2c3ff077046c37213fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-26T07:47:11Z",
    "title_canon_sha256": "aadc1783171083ec45c55999a8cdb07927a076f489a2367d147cc82b905ffe4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07639",
    "kind": "arxiv",
    "version": 2
  }
}