Pith Number

pith:KVYNHBU4

pith:2014:KVYNHBU4URWXT44NCNLB3YHRLR

not attested not anchored not stored refs pending

A Leray-Trudinger Inequality

Daniel Spector, Georgios Psaradakis

arxiv:1407.7983 v2 · 2014-07-30 · math.FA · 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{KVYNHBU4URWXT44NCNLB3YHRLR}

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	2026-05-18T02:46:05.701376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5570d3869ca46d79f38d13561de0f15c5157985f3ccb0747e6dccbda949616fb

Aliases

arxiv: 1407.7983 · arxiv_version: 1407.7983v2 · doi: 10.48550/arxiv.1407.7983 · pith_short_12: KVYNHBU4URWX · pith_short_16: KVYNHBU4URWXT44N · pith_short_8: KVYNHBU4

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/KVYNHBU4URWXT44NCNLB3YHRLR \
  | 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: 5570d3869ca46d79f38d13561de0f15c5157985f3ccb0747e6dccbda949616fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b77ba1b7ab24287433a0e0fa3bb95ecc1bea01ba105426234b8d284a4b4a32c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-30T09:53:46Z",
    "title_canon_sha256": "2a0114c0972d451218b86b58cb0b6652a45ed54480e37788a0c180b7f5d9f3f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7983",
    "kind": "arxiv",
    "version": 2
  }
}