Pith Number

pith:KILNBGC3

pith:2012:KILNBGC3JLACTR5CF4XETWT2JF

not attested not anchored not stored refs pending

Poincar\'e inequalities in quasihyperbolic boundary condition domains

Antti V. V\"ah\"akangas, Niko Marola, Ritva Hurri-Syrj\"anen

arxiv:1201.5789 v5 · 2012-01-27 · 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{KILNBGC3JLACTR5CF4XETWT2JF}

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	2026-05-18T01:31:21.692768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5216d0985b4ac029c7a22f2e49da7a49613ed0e97e3f0ca9b8fff42870579b47

Aliases

arxiv: 1201.5789 · arxiv_version: 1201.5789v5 · doi: 10.48550/arxiv.1201.5789 · pith_short_12: KILNBGC3JLAC · pith_short_16: KILNBGC3JLACTR5C · pith_short_8: KILNBGC3

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/KILNBGC3JLACTR5CF4XETWT2JF \
  | 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: 5216d0985b4ac029c7a22f2e49da7a49613ed0e97e3f0ca9b8fff42870579b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9adb0dc183d82f36989203530ad2e7e525b5b8949a1d9d8ddb8de22c5c16169",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-27T15:06:12Z",
    "title_canon_sha256": "f4fe7eada88e42152f879b73380730d749e1fb5b4f04fcefb17d936280892281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5789",
    "kind": "arxiv",
    "version": 5
  }
}