Pith Number

pith:KHF3KHEA

pith:2016:KHF3KHEAYGJJFTRRF7L7AQC5T2

not attested not anchored not stored refs pending

Sharp Poincar\'e inequalities in a class of non-convex sets

B. Brandolini, E. B. Dryden, F. Chiacchio, J. J. Langford

arxiv:1608.01236 v2 · 2016-08-03 · math.SP · 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{KHF3KHEAYGJJFTRRF7L7AQC5T2}

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	2026-05-18T00:10:04.424687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51cbb51c80c19292ce312fd7f0405d9eb9595a2afbbe9969b9ac4acfe1c268f9

Aliases

arxiv: 1608.01236 · arxiv_version: 1608.01236v2 · doi: 10.48550/arxiv.1608.01236 · pith_short_12: KHF3KHEAYGJJ · pith_short_16: KHF3KHEAYGJJFTRR · pith_short_8: KHF3KHEA

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/KHF3KHEAYGJJFTRRF7L7AQC5T2 \
  | 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: 51cbb51c80c19292ce312fd7f0405d9eb9595a2afbbe9969b9ac4acfe1c268f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "548934285818be781d3961b089ff47e648a0ac409dce39037461b275b30428a3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-08-03T16:06:40Z",
    "title_canon_sha256": "9be3f9b3f2de48925cc7b0a44c353d70b2209b2c9bf8e29600b2a1d8784e4162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01236",
    "kind": "arxiv",
    "version": 2
  }
}