Pith Number

pith:CICPWK2M

pith:2017:CICPWK2M3VZ5WBDP3GTYXOMCJI

not attested not anchored not stored refs pending

Berezin--Li--Yau inequalities on domains on the sphere

Alexei Ilyin, Ari Laptev

arxiv:1712.10078 v1 · 2017-12-28 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CICPWK2M3VZ5WBDP3GTYXOMCJI}

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	2026-05-18T00:27:04.026408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1204fb2b4cdd73db046fd9a78bb9824a239b895554086967b6a4caf3a03b1647

Aliases

arxiv: 1712.10078 · arxiv_version: 1712.10078v1 · doi: 10.48550/arxiv.1712.10078 · pith_short_12: CICPWK2M3VZ5 · pith_short_16: CICPWK2M3VZ5WBDP · pith_short_8: CICPWK2M

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/CICPWK2M3VZ5WBDP3GTYXOMCJI \
  | 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: 1204fb2b4cdd73db046fd9a78bb9824a239b895554086967b6a4caf3a03b1647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4f89d21d25bcefcbc35e0679214360566c7653ce308a772777e4a7c67e060f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-12-28T22:53:57Z",
    "title_canon_sha256": "018eaabf71bf299b84157c150da07188fa621805c4af09e2c9f8925b1a141e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10078",
    "kind": "arxiv",
    "version": 1
  }
}