Pith Number

pith:MPDFXI65

pith:2016:MPDFXI652XL3FLBYEU47KABRLR

not attested not anchored not stored refs pending

Robustness of the Gaussian concentration inequality and the Brunn-Minkowski inequality

Marco Barchiesi, Vesa Julin

arxiv:1608.07990 v3 · 2016-08-29 · math.AP · 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{MPDFXI652XL3FLBYEU47KABRLR}

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	2026-05-18T00:36:19.516255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c65ba3ddd5d7b2ac382539f500315c499aeeae7cb8da992446b03ad4b91a6d

Aliases

arxiv: 1608.07990 · arxiv_version: 1608.07990v3 · doi: 10.48550/arxiv.1608.07990 · pith_short_12: MPDFXI652XL3 · pith_short_16: MPDFXI652XL3FLBY · pith_short_8: MPDFXI65

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/MPDFXI652XL3FLBYEU47KABRLR \
  | 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: 63c65ba3ddd5d7b2ac382539f500315c499aeeae7cb8da992446b03ad4b91a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8ea982011ffd659b399b480fb7b13dc974a3a704e7cd4c451ee300eb66dcf2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-29T10:52:31Z",
    "title_canon_sha256": "8f4700b68b60f6f453273353cb9975ea1d2d353393a7d57aad3da0ac7fb130d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07990",
    "kind": "arxiv",
    "version": 3
  }
}