Pith Number

pith:LJED2MFM

pith:2012:LJED2MFMUIBDJ4PU2LZUTSPECE

not attested not anchored not stored refs pending

A Note on a Brunn-Minkowski Inequality for the Gaussian Measure

Piotr Nayar, Tomasz Tkocz

arxiv:1202.0046 v1 · 2012-01-31 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJED2MFMUIBDJ4PU2LZUTSPECE}

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	2026-05-18T03:14:17.679569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a483d30aca20234f1f4d2f349c9e41109338780d32b57118549d52ed09e0aac

Aliases

arxiv: 1202.0046 · arxiv_version: 1202.0046v1 · doi: 10.48550/arxiv.1202.0046 · pith_short_12: LJED2MFMUIBD · pith_short_16: LJED2MFMUIBDJ4PU · pith_short_8: LJED2MFM

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/LJED2MFMUIBDJ4PU2LZUTSPECE \
  | 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: 5a483d30aca20234f1f4d2f349c9e41109338780d32b57118549d52ed09e0aac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d95abde352714a3519771821f08debd29f622307dc368268606f663d7cc948",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-31T22:51:21Z",
    "title_canon_sha256": "e5d207d89a0e49b5719a151177fc5f8b27d6e4f5ccc6817d8af14885cd120cf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0046",
    "kind": "arxiv",
    "version": 1
  }
}