Pith Number

pith:E5WPOPOU

pith:2017:E5WPOPOUGAWCEAFPVOGSIKWJAC

not attested not anchored not stored refs pending

Hardy inequalities, Rellich inequalities and local Dirichlet forms

Derek W. Robinson

arxiv:1701.05629 v1 · 2017-01-19 · 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{E5WPOPOUGAWCEAFPVOGSIKWJAC}

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	2026-05-18T00:52:28.971789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276cf73dd4302c2200afab8d242ac900b6a5d5376e819ff23248d979d271f4cc

Aliases

arxiv: 1701.05629 · arxiv_version: 1701.05629v1 · doi: 10.48550/arxiv.1701.05629 · pith_short_12: E5WPOPOUGAWC · pith_short_16: E5WPOPOUGAWCEAFP · pith_short_8: E5WPOPOU

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/E5WPOPOUGAWCEAFPVOGSIKWJAC \
  | 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: 276cf73dd4302c2200afab8d242ac900b6a5d5376e819ff23248d979d271f4cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "499c8e35568fcf404689802c5315ff47a4fa8c8f7cc2f0f8c6441138d27676cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-19T22:24:00Z",
    "title_canon_sha256": "893f593809357723a792b8f305eab24d987bfc5c1a00777ca0586a10fed9b3a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05629",
    "kind": "arxiv",
    "version": 1
  }
}