Pith Number

pith:SWK3W2XJ

pith:2012:SWK3W2XJPWTB4MGXICAKSDU2CT

not attested not anchored not stored refs pending

Fractional Poincare and logarithmic Sobolev inequalities for measure spaces

Philip T. Gressman

arxiv:1205.5773 v1 · 2012-05-25 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWK3W2XJPWTB4MGXICAKSDU2CT}

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	2026-05-18T03:54:50.384524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9595bb6ae97da61e30d74080a90e9a14c3b2d3d43acdc19bed45e70b7f937eee

Aliases

arxiv: 1205.5773 · arxiv_version: 1205.5773v1 · doi: 10.48550/arxiv.1205.5773 · pith_short_12: SWK3W2XJPWTB · pith_short_16: SWK3W2XJPWTB4MGX · pith_short_8: SWK3W2XJ

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/SWK3W2XJPWTB4MGXICAKSDU2CT \
  | 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: 9595bb6ae97da61e30d74080a90e9a14c3b2d3d43acdc19bed45e70b7f937eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b167f4d91cb1798b893f42e853463c201420e64869ef8b547f874158981aa1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-25T18:37:58Z",
    "title_canon_sha256": "c5ec425e47f2a443b80152112c819ab4b8fc8a03e9ae9ca72224d370c522785f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5773",
    "kind": "arxiv",
    "version": 1
  }
}