Pith Number

pith:YSOKQDZY

pith:2016:YSOKQDZYXNW6KQE6FMHRVXXCJJ

not attested not anchored not stored refs pending

An improved discrete Hardy inequality

Felix Pogorzelski, Matthias Keller, Yehuda Pinchover

arxiv:1612.05913 v1 · 2016-12-18 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSOKQDZYXNW6KQE6FMHRVXXCJJ}

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	2026-05-18T00:54:46.354558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c49ca80f38bb6de5409e2b0f1adee24a7a5635e1dc10e4969115bbc35cfe05d7

Aliases

arxiv: 1612.05913 · arxiv_version: 1612.05913v1 · doi: 10.48550/arxiv.1612.05913 · pith_short_12: YSOKQDZYXNW6 · pith_short_16: YSOKQDZYXNW6KQE6 · pith_short_8: YSOKQDZY

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/YSOKQDZYXNW6KQE6FMHRVXXCJJ \
  | 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: c49ca80f38bb6de5409e2b0f1adee24a7a5635e1dc10e4969115bbc35cfe05d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4bd5dcd0aaea4346098564a13804a446225872b422ceaade4781062250c1d27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-12-18T13:51:03Z",
    "title_canon_sha256": "f2788b6a666ee55cce0cd24ae64e6af2e63bc186ce6aa9eadf81cb29d476ea89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05913",
    "kind": "arxiv",
    "version": 1
  }
}