Pith Number

pith:VSTPPA3A

pith:2014:VSTPPA3A32T2TJ7DPNVG4WVZIG

not attested not anchored not stored refs pending

The best constant of discrete Sobolev inequality on the C60 fullerene buckyball

Atsushi Nagai, Hiroyuki Yamagishi, Kazuo Takemura, Kohtaro Watanabe, Yoshinori Kametaka

arxiv:1412.1236 v1 · 2014-12-03 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSTPPA3A32T2TJ7DPNVG4WVZIG}

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	2026-05-18T02:32:13.050434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca6f78360dea7a9a7e37b6a6e5ab941933e9e2bfe53109ef3360b49ce360c71

Aliases

arxiv: 1412.1236 · arxiv_version: 1412.1236v1 · doi: 10.48550/arxiv.1412.1236 · pith_short_12: VSTPPA3A32T2 · pith_short_16: VSTPPA3A32T2TJ7D · pith_short_8: VSTPPA3A

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/VSTPPA3A32T2TJ7DPNVG4WVZIG \
  | 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: aca6f78360dea7a9a7e37b6a6e5ab941933e9e2bfe53109ef3360b49ce360c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304c72104058f49eefbec0338fa60fdf69c323a4c08fd33fa80626a58a6002c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-03T08:50:21Z",
    "title_canon_sha256": "1d44db9eb4a64c8fde02970815ec35cd5500b3e865f0dcf56cc6d70b017925bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1236",
    "kind": "arxiv",
    "version": 1
  }
}