Pith Number

pith:66G7W4RO

pith:2017:66G7W4RORJAC5P7DER2OVHNZO5

not attested not anchored not stored refs pending

A note on stability of Hardy inequalities

Durvudkhan Suragan, Michael Ruzhansky

arxiv:1710.04907 v1 · 2017-10-13 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66G7W4RORJAC5P7DER2OVHNZO5}

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	2026-05-18T00:00:45.929866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f78dfb722e8a402ebfe32474ea9db977404763999804ced778803ed8e84a1b09

Aliases

arxiv: 1710.04907 · arxiv_version: 1710.04907v1 · doi: 10.48550/arxiv.1710.04907 · pith_short_12: 66G7W4RORJAC · pith_short_16: 66G7W4RORJAC5P7D · pith_short_8: 66G7W4RO

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/66G7W4RORJAC5P7DER2OVHNZO5 \
  | 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: f78dfb722e8a402ebfe32474ea9db977404763999804ced778803ed8e84a1b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb1779e5f2616d6bf715cc4bebc70094dfb483fe69ba563ee768756cf8081aeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-10-13T13:19:53Z",
    "title_canon_sha256": "10f503c747878baf3d2312c2ff1e790b0a728c8542500bae54769ad2a10bf069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04907",
    "kind": "arxiv",
    "version": 1
  }
}