Pith Number

pith:K5ELDML6

pith:2026:K5ELDML6XLVK2GAZTQKW4GF3NE

not attested not anchored not stored refs pending

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique

S. Brendle

arxiv:2603.12025 v3 · 2026-03-12 · 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{K5ELDML6XLVK2GAZTQKW4GF3NE}

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.

Cited by

1 paper in Pith

A comparison theorem with applications to sharp geometric inequalities for submanifolds

Receipt and verification

First computed	2026-07-21T01:20:45.351460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5748b1b17ebaeaad18199c156e18bb693f8c0f74d731a29105528be51fbc75c8

Aliases

arxiv: 2603.12025 · arxiv_version: 2603.12025v3 · doi: 10.48550/arxiv.2603.12025 · pith_short_12: K5ELDML6XLVK · pith_short_16: K5ELDML6XLVK2GAZ · pith_short_8: K5ELDML6

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/K5ELDML6XLVK2GAZTQKW4GF3NE \
  | 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: 5748b1b17ebaeaad18199c156e18bb693f8c0f74d731a29105528be51fbc75c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906301e3f552987f7bf48898c4ccc94478cb5a251b5aeec937878c97897db15a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-03-12T15:04:53Z",
    "title_canon_sha256": "1d234e13a288ba39ecdf9ce44f284e9dc055ecfe3099b1f718c7ae95ee8a2f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.12025",
    "kind": "arxiv",
    "version": 3
  }
}