Pith Number

pith:42JW4ZBH

pith:2011:42JW4ZBH6HI4COVSWOAV3UVC53

not attested not anchored not stored refs pending

An optimal anisotropic Poincar\'e inequality for convex domains

Chao Xia, Guofang Wang

arxiv:1112.4398 v1 · 2011-12-19 · 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{42JW4ZBH6HI4COVSWOAV3UVC53}

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	2026-05-18T00:43:38.111386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6936e6427f1d1c13ab2b3815dd2a2eec90ece1088feda473fd915b919c38e95

Aliases

arxiv: 1112.4398 · arxiv_version: 1112.4398v1 · doi: 10.48550/arxiv.1112.4398 · pith_short_12: 42JW4ZBH6HI4 · pith_short_16: 42JW4ZBH6HI4COVS · pith_short_8: 42JW4ZBH

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/42JW4ZBH6HI4COVSWOAV3UVC53 \
  | 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: e6936e6427f1d1c13ab2b3815dd2a2eec90ece1088feda473fd915b919c38e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871a704b8353c4b9a9ebb21ecd01e61fc71de3142b9b6a2216efcc2b17f95ed6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-19T16:45:12Z",
    "title_canon_sha256": "51254994205b021d99236d2242080d49fb98d135e45da07c364a232099b2e4cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4398",
    "kind": "arxiv",
    "version": 1
  }
}