Pith Number

pith:DRIS4SC4

pith:2011:DRIS4SC42TC4C6ILSPDLS5VEHM

not attested not anchored not stored refs pending

A natural derivative on [0,n] and a binomial Poincar\'e inequality

Erwan Hillion, Oliver Johnson, Yaming Yu

arxiv:1107.0127 v1 · 2011-07-01 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRIS4SC42TC4C6ILSPDLS5VEHM}

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	2026-05-18T02:39:32.452036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c512e485cd4c5c1790b93c6b976a43b307aa3be0285f8d99a2be37d290c2444

Aliases

arxiv: 1107.0127 · arxiv_version: 1107.0127v1 · doi: 10.48550/arxiv.1107.0127 · pith_short_12: DRIS4SC42TC4 · pith_short_16: DRIS4SC42TC4C6IL · pith_short_8: DRIS4SC4

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/DRIS4SC42TC4C6ILSPDLS5VEHM \
  | 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: 1c512e485cd4c5c1790b93c6b976a43b307aa3be0285f8d99a2be37d290c2444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b650ba28178c18453e60630a47416be9edbdfee7d869fe978f69f3ac5df4dfc7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-01T07:35:51Z",
    "title_canon_sha256": "37826e4b5fed4954b99985858238a94dcda827b43a283b0b7348e3200acfa641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0127",
    "kind": "arxiv",
    "version": 1
  }
}