Pith Number

pith:WINCR3HF

pith:2013:WINCR3HFNSCRRTSDRKEH2A5EAK

not attested not anchored not stored refs pending

A new characterization of the CR shpere and the sharp eigenvalue estimate for the Kohn Laplacian

Duong Ngoc Son, Song-Ying Li, Xiaodong Wang

arxiv:1308.3403 v2 · 2013-08-15 · 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{WINCR3HFNSCRRTSDRKEH2A5EAK}

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	2026-05-18T00:53:51.630309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b21a28ece56c8518ce438a887d03a402b0bcf8a5a2c816c0639763b9e713b70c

Aliases

arxiv: 1308.3403 · arxiv_version: 1308.3403v2 · doi: 10.48550/arxiv.1308.3403 · pith_short_12: WINCR3HFNSCR · pith_short_16: WINCR3HFNSCRRTSD · pith_short_8: WINCR3HF

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/WINCR3HFNSCRRTSDRKEH2A5EAK \
  | 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: b21a28ece56c8518ce438a887d03a402b0bcf8a5a2c816c0639763b9e713b70c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1052e73472b96e5aed21923509fb9177db0d4751400f2d49cb38139ef3e565c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-15T14:16:38Z",
    "title_canon_sha256": "b41e19e5644857961470ef224721b306e3d16f9f19ea4a50a4de5d191de2ddbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3403",
    "kind": "arxiv",
    "version": 2
  }
}