Pith Number

pith:ZLKZS4DX

pith:2017:ZLKZS4DXWNDUN2VJM2STZ5GCIG

not attested not anchored not stored refs pending

Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains

Simon Zugmeyer (ICJ)

arxiv:1710.08233 v1 · 2017-10-23 · math.AP · 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{ZLKZS4DXWNDUN2VJM2STZ5GCIG}

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	2026-05-18T00:32:16.918598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad5997077b34746eaa966a53cf4c241a1662ae84292151b840eff083392513e

Aliases

arxiv: 1710.08233 · arxiv_version: 1710.08233v1 · doi: 10.48550/arxiv.1710.08233 · pith_short_12: ZLKZS4DXWNDU · pith_short_16: ZLKZS4DXWNDUN2VJ · pith_short_8: ZLKZS4DX

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/ZLKZS4DXWNDUN2VJM2STZ5GCIG \
  | 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: cad5997077b34746eaa966a53cf4c241a1662ae84292151b840eff083392513e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9876f541f3b2ac8c20573eb688c76130786c9da55bab16056034c901f65d73d7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-23T12:26:45Z",
    "title_canon_sha256": "e196c767285521bdec9219a363b1d813e073c5a92212623643ccf5192c6454e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08233",
    "kind": "arxiv",
    "version": 1
  }
}