Pith Number

pith:DE2D4YWY

pith:2012:DE2D4YWYXRI7NFONYRN6NGSTBZ

not attested not anchored not stored refs pending

A remark on optimal weighted Poincar\'e inequalities for convex domains

Carlo Nitsch, Cristina Trombetti, Vincenzo Ferone

arxiv:1207.0680 v2 · 2012-07-03 · math.OC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DE2D4YWYXRI7NFONYRN6NGSTBZ}

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	2026-05-18T03:41:29.137275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19343e62d8bc51f695cdc45be69a530e7a10f0855eade33397e480d1daed35aa

Aliases

arxiv: 1207.0680 · arxiv_version: 1207.0680v2 · doi: 10.48550/arxiv.1207.0680 · pith_short_12: DE2D4YWYXRI7 · pith_short_16: DE2D4YWYXRI7NFON · pith_short_8: DE2D4YWY

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/DE2D4YWYXRI7NFONYRN6NGSTBZ \
  | 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: 19343e62d8bc51f695cdc45be69a530e7a10f0855eade33397e480d1daed35aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25fa2be99d7d5f923c9b60d8583f863c8557f88a3bc04e5deefc1ff25fd2a943",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-03T13:56:00Z",
    "title_canon_sha256": "4aa362228d467421a0fd0185594fb4898d15c2b0ac721533f8fc27696f4b8710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0680",
    "kind": "arxiv",
    "version": 2
  }
}