Pith Number

pith:BCBSKD7N

pith:2016:BCBSKD7NU6Y6DAXRHERFUX6A5X

not attested not anchored not stored refs pending

An Improved Leray-Trudinger Inequality

Arka Mallick, Cyril Tintarev

arxiv:1601.03194 v2 · 2016-01-13 · 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{BCBSKD7NU6Y6DAXRHERFUX6A5X}

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	2026-05-18T01:18:48.889737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0883250feda7b1e182f139225a5fc0edf84f6282bd5e9c186de92fb1ad57887a

Aliases

arxiv: 1601.03194 · arxiv_version: 1601.03194v2 · doi: 10.48550/arxiv.1601.03194 · pith_short_12: BCBSKD7NU6Y6 · pith_short_16: BCBSKD7NU6Y6DAXR · pith_short_8: BCBSKD7N

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/BCBSKD7NU6Y6DAXRHERFUX6A5X \
  | 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: 0883250feda7b1e182f139225a5fc0edf84f6282bd5e9c186de92fb1ad57887a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8c3cb837d5010f84d24800e19a47408a516e24ec85893e749b7136b04d4c4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-13T10:37:43Z",
    "title_canon_sha256": "1a57bd8ddab7cc42f44a6232cc37983c59a533e7acadc306d45878040e11d18d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03194",
    "kind": "arxiv",
    "version": 2
  }
}