Pith Number

pith:LGPXW22S

pith:2014:LGPXW22SZFSS7TQ3CZUSK5MHXU

not attested not anchored not stored refs pending

Hardy inequalities in globally twisted waveguides

David Krejcirik, Hiba Hammedi, Philippe Briet

arxiv:1406.2841 v1 · 2014-06-11 · math.SP · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGPXW22SZFSS7TQ3CZUSK5MHXU}

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	2026-05-18T01:36:07.300140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

599f7b6b52c9652fce1b1669257587bd331d55b7a846d9088073b2c94aecfc06

Aliases

arxiv: 1406.2841 · arxiv_version: 1406.2841v1 · doi: 10.48550/arxiv.1406.2841 · pith_short_12: LGPXW22SZFSS · pith_short_16: LGPXW22SZFSS7TQ3 · pith_short_8: LGPXW22S

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/LGPXW22SZFSS7TQ3CZUSK5MHXU \
  | 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: 599f7b6b52c9652fce1b1669257587bd331d55b7a846d9088073b2c94aecfc06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0953618143430b037de5df9edc66d0fac06fba1fd74bb4c34ba460ddd30843",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-06-11T09:26:10Z",
    "title_canon_sha256": "a1d6a90c199acca28adacce926739b209a97a4cea89d86bce5f1520321f418a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2841",
    "kind": "arxiv",
    "version": 1
  }
}