Pith Number

pith:ZVDN2E3V

pith:2009:ZVDN2E3VCMB2GFXCWLO2RIDNU4

not attested not anchored not stored refs pending

Super Poincar\'e inequalities, Orlicz norms and essential spectrum

Pierre-Andr\'e Zitt (IMB)

arxiv:0910.4768 v1 · 2009-10-25 · math.FA · math.PR · 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{ZVDN2E3VCMB2GFXCWLO2RIDNU4}

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	2026-05-18T04:31:11.996180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd46dd13751303a316e2b2dda8a06da712a59954c9cfdeffc21b57c3d168c455

Aliases

arxiv: 0910.4768 · arxiv_version: 0910.4768v1 · doi: 10.48550/arxiv.0910.4768 · pith_short_12: ZVDN2E3VCMB2 · pith_short_16: ZVDN2E3VCMB2GFXC · pith_short_8: ZVDN2E3V

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/ZVDN2E3VCMB2GFXCWLO2RIDNU4 \
  | 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: cd46dd13751303a316e2b2dda8a06da712a59954c9cfdeffc21b57c3d168c455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c188af2c0d9118e7e9e0d0a22623224e3666b8c07799dc5ed3105a2e72443d89",
    "cross_cats_sorted": [
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-10-25T21:16:54Z",
    "title_canon_sha256": "3b21ffd26552c1b15b8f8944e0868a7b2897610cf235fb68e72af6b8d4a6bf29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4768",
    "kind": "arxiv",
    "version": 1
  }
}