Pith Number

pith:IR2JIF2W

pith:2014:IR2JIF2W32BF3GZ2JHO6KYCGTC

not attested not anchored not stored refs pending

Optimal Szeg\"o-Weinberger type inequalities

F. Brock, F. Chiacchio, G. di Blasio

arxiv:1411.5872 v2 · 2014-11-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IR2JIF2W32BF3GZ2JHO6KYCGTC}

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	2026-05-18T02:28:20.353749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4474941756de825d9b3a49dde56046989e840db6644fc8d1987eeee028d306e7

Aliases

arxiv: 1411.5872 · arxiv_version: 1411.5872v2 · doi: 10.48550/arxiv.1411.5872 · pith_short_12: IR2JIF2W32BF · pith_short_16: IR2JIF2W32BF3GZ2 · pith_short_8: IR2JIF2W

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/IR2JIF2W32BF3GZ2JHO6KYCGTC \
  | 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: 4474941756de825d9b3a49dde56046989e840db6644fc8d1987eeee028d306e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced523c77c77c2d0d2da4d07856fc782462895e462a031fdd41b02961b782a66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-21T13:54:37Z",
    "title_canon_sha256": "771cafa41aa0cdc93e51d983c89d78ea3667f95145ee83ec2b3072ad4d936710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5872",
    "kind": "arxiv",
    "version": 2
  }
}