Pith Number

pith:XI6XQREH

pith:2020:XI6XQREHCUKJXBOI73RRPLYT35

not attested not anchored not stored refs pending

A Proof of The Triangular Ashbaugh-Benguria-Payne-P\'{o}lya-Weinberger Inequality

Michael Psenka, Mohammed Mannan, Ryan Arbon, Seyoon Ragavan

arxiv:2009.00927 v2 · 2020-09-02 · 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{XI6XQREHCUKJXBOI73RRPLYT35}

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	2026-07-05T05:14:30.669955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3d78448715149b85c8fee317af13df7518c27c17fea342ded2ba04ed64d675

Aliases

arxiv: 2009.00927 · arxiv_version: 2009.00927v2 · doi: 10.48550/arxiv.2009.00927 · pith_short_12: XI6XQREHCUKJ · pith_short_16: XI6XQREHCUKJXBOI · pith_short_8: XI6XQREH

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/XI6XQREHCUKJXBOI73RRPLYT35 \
  | 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: ba3d78448715149b85c8fee317af13df7518c27c17fea342ded2ba04ed64d675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4394b7069b700fc40b403bf14187963f210f849291a2f530bbafa6b749686c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2020-09-02T10:12:11Z",
    "title_canon_sha256": "bf4b04bf7656b6788c1da9e376f4b39c8d7a17127c76cbc026657da0eec81a48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.00927",
    "kind": "arxiv",
    "version": 2
  }
}